《打扑克全过程不盖被子视频教程》高清不卡在线观看...
浙江富豪沈国军，创立银泰集团，娶小21岁女星，如今身价超570亿首发2024-01-15 16:25·忆禾溪阅读文章前辛苦您点下“关注”，方便讨论和分享，为了回馈您的支持，我将每日更新优质内容。文 | 忆禾溪编辑 | 忆禾溪“本文所有内容皆有官方可靠信息来源，具体资料整述在文章结尾”前言在中国的这么多的富豪中，有一个人的故事可谓是非常振奋人心。一位出身平凡的年轻人，没有依靠贵人的帮助，也没有依靠家庭的帮衬。凭借着自己的智慧和不断努力，一步一步走向成功，打下了570亿的身家的江山，成就了一段的逆天改命的传奇故事。他就是浙江省富豪——沈国军。人家都说穷人的孩子早当家，正是这样一位出身贫寒的年轻人，小时候的生活也并不如意。谁都想不到，一个命途多舛的人会在改革开放的风口中开创出属于自己的商业帝国，成为中国白手起家的公司家之一。浙江富豪沈国军，中国银泰集团的创始人，妻子是小他21岁的女明星。现如今的身价已经超过了570亿元，这都是他造就的辉煌成绩。惊人的商业天赋银泰创始人沈国军的命运可谓是非常悲惨，沈国军1962年出生在宁波奉化的一个小渔村，从小他就与同龄的孩子不一样。沈国军在家中排行老大，父亲在他14岁地问时候意外遭遇了车祸，撒手人寰。留下母亲与他们几个孩子相依为命，然而这样的日子也没有过多久，噩耗再一次降临到这个家庭中。母亲也在父亲去世的五年后确诊了胃癌，最后也离开了人间。对沈国军而言，接连失去了双亲，他虽然悲痛，但还是要扛起照顾家庭的责任，毕竟他是家中长子，他下面还有弟弟妹妹需要照顾。所以21岁的沈国军必须振作起来，活着的人才会有希望继续生活下去。沈国军自己回忆说道：失去父母亲之后的日子，家里真的到了山穷水尽的地步，就连平常的日常生活都异常困难。所以沈国军深刻的认识到，自己的家庭现在唯一可以选择的出路就是改变。他从小学习成绩就非常优异，在完成学业的同时，还要肩负起照顾家庭的责任重担。生活的压力非但没有摧垮他，反而更加激发了他赚钱养家的欲望。当然沈国军也表现出了不同寻常的“商人”头脑，就读于中南财经大学时期。凭借自己的卓越头脑与耐力就赚到了180万，这可是一笔巨款。这也是沈国军凭借自己的出色才能赚到的第一桶金。在别人都忙着谈恋爱享受生活的时候，沈国军利用除学习以外的所有时间丰富自己。这也为他成功赚到巨款打下了坚实的基础，沈国军的商业头脑也是在这时候崭露头角。银泰集团的发展银泰集团由沈国军先生于1997年创立，立足于事业发展与产业投资业务涵盖非常广泛。这是一个非常庞大的集团体系，集金融和商业、房地产等多种跨行业的集团。那么这样一个庞大的商业集团是如何发展起来的呢？硕士毕业的沈国军并没有选择安稳的上班，过那种一眼就能望到头的日子。他觉得自己的生活不应该如此平庸，必须要凭借自己闯出一番天地。当弟弟妹妹成年之后，沈国军才觉得自己放手一搏的机会终于到了。他辞去了别人羡慕的“铁饭碗”银行工作，毅然决然的加入到了创业的浪潮中。公司的创立之初只有四名员工，接下来沈国军面临的生活充满了挑战和未知。紧接着就是1998年世界金融危机，然而正是这场危机的来临，沈国军的商业帝国前身也有了雏形。富贵险中求，几乎所有的商人都在慌忙的抛出手中的实业，而沈国军嗅到了不一样的味道。凭借金融风暴低价买入了楼市，而这座楼正是“银泰百货”的所在地。开业的第一年，全年的销售额就已经高达4.8亿元。并于2007年在香港联合交易所上市，成为了第一家在香港上市的内地百货公司。刷新了 240多倍单股超额认购“纪录”，这可谓是开门红。2009年，银泰百货在巩固了百货业的优势后，率先从百货店转向了购物中心。并在城市综合体、购物中心、互联网+产物等方面进行了全面的开发。2010年，银泰百货正式上线，有了独属于自己的“银泰网”，银泰百货也是首个投入资金、独立组建合资公司、尝试电子商务的传统百货商场。与阿里建立了战略伙伴关系，公司推出了一款理念为“唤醒真正的自我”的高端品牌。银泰百货在2015年加强了与阿里巴巴的紧密合作，并将银泰百货推向了网上，这也是传统零售和互联网结合的一个典型例子。这种创新之举，对零售百货业的网络化起到了很好的推动作用，也是对我国传统零售业进行了一次又一次的创新和变革。时至今日，银泰百货已经在全国各地拥有了多家商厦，成为了众多消费者高端购物的首选之地。而沈国军的身价更是一路暴涨，如今他的身价已经高达570亿元人民币。这是多少人可望而不可即的天文数字，太多人终极一生都难以逾越的高度。相差21岁的模范夫妻大家对成功人士的印象大都是“一手爱情，一手事业双丰收”，沈国军也不例外。在拥有了无尽财富之后，沈国军也终于寻得了那位陪自己终老的另一半。小他21岁的女明星张婉茹，并在2014年两人步入了婚姻的殿堂。虽然这是沈国军的第二任太太，但是爱情好像并没有先来后到之分。他的第一任妻子是与沈国军同窗的大学同学，虽然年少的感情让人动容，可是不合适就分开也未尝不是一件好事。两人终究还是因为性格等原因不得已而分开，分开也是为了去追寻更好的幸福。沈国军在遇上张婉茹之后，事业更是如日中天，而张婉茹也甘愿放弃自己的影视事业。做他背后的女人，义无反顾的支持沈国军的事业，这段感情也遭到了很多人的反对。虽然年龄上的代沟比较大，但是张婉茹也并不简单。她的自身能力和良好的性格都在很大程度上帮助了沈国军的事业发展。两个人可谓是势均力敌，所以好的爱情并不是“我养你”的一句嘴上话而已。而是我和你，都愿意为了对方而成为更好的人，一直在努力的道路上不停息。只要真心相爱，年龄身份都不是差距，两个人只要是坚定的在一起，就可以创造出美好的未来。个人行为的自我约束其实沈国军的成功自然离不开他对自己的严格要求，也可能是从小的生活习惯造就了他。从沈国军开始参加工作一直到经商这么多年，非常看重个人行为准则。他有非常强的环境保护意识，他在一次访谈中发出提案：进一步加强我国海洋生态保护和修复工作。希望有更多的人可以重视到海洋环境，希望可以引起对海洋保护的重视程度。地球上的海洋面积达到了71%，面积非常庞大，人们赖以生存的地球，正是因为有了氧气的存在才可以供人类生活。从小在海边长大的沈国军对海洋有着特殊的情感，所以银泰集团一直非常注重生态保护。他深切的体会到海洋带给他的直观变化，从童年的美好记忆到现在的环境遭遇。这一切都让沈国军感到非常痛心，所以他一直致力于海洋的慈善的公益，试图将儿时的幸福回忆再度回忆起来。在自己有能力之时，能够将海洋环境放在心上，并为之去实施的人自然差不到哪去。希望大家都能够重视海洋环境的保护，哪怕是一个微小的善举，可能就是保护海洋的一大步。我们看到如今的沈国军虽然是成功的，但他也面临过很多的失败。成功的路上并不拥挤，因为坚持的人不多。但不同的是，他在面临这无数次的失败的时候，并没有选择放弃，而是不断探寻新的出路。可能早期的苦难磨炼了他，让他在面对困境时，不退缩，不逃避。而是有勇气、有头脑、有智慧的去冒险。在他的成功之路上，可以见得，努力和坚持是多么重要。结语沈国军的经历给我们很多启发，遭遇苦难时，如果你选择奋斗，那么你的人生就还有一线希望。如果你选择了互相扶持和共同发展，那么你就能为你的生活带来更多的机会和可能性。在可预见的未来里，沈国军还将继续活跃在商业舞台之上，书写着对于自己的传奇故事。如今沈国军依然致力于国家的慈善事业，他把慈善当成了事业一样，就像是梦想一样，成为他生活中不可缺少的一部分。正是这样有大爱的公司家，才会在事业上做的风生水起。读此文后烦请您关注+评论，方便您迅速关注到最新内容END参考文献：中国青年网——2021代表委员面对面｜全国政协委员沈国军：希望更多人重视海洋保护浙江日报——银泰沈国军：拥抱时代的创新与变革
2025年01月05日，时间过得真快，转眼间我的新大洲本田新威武弯梁摩托车已经骑行3年时间了。
《打扑克全过程不盖被子视频教程》高清不卡在线观看...
处女座不会也不稀罕
我发现现在入行陪诊的门槛仍然很低，不需要有医学背景。不过，刚入行的新人，只能做简单的陪诊，就是陪同就医，要熟悉就医的手续和流程。家电市场一个新的增长通道被打开了。
锄辞苍驳蝉丑补苍驳，蹿补测耻补苍驳别苍箩耻飞别颈蝉丑别苍驳测耻补苍诲别驳耻辞肠耻辞肠丑别苍驳诲耻、虫颈补辞丑别箩颈苍驳蝉丑别苍蝉丑辞耻诲补辞蝉耻苍丑补颈诲补虫颈补辞诲别苍驳，驳耻锄丑耻辞辩颈苍驳辫补苍诲颈苍驳辫别颈肠丑补苍驳箩颈补蝉丑耻1.5飞补苍测耻补苍。顿顿搁5箩颈蝉丑耻锄颈2020苍颈补苍办补颈蝉丑颈锄丑耻产耻蝉丑别苍迟辞耻蝉丑颈肠丑补苍驳，辩颈锄丑耻测补辞蹿补锄丑补苍尘耻产颈补辞蝉丑颈迟颈驳补辞驳辞苍驳锄耻辞虫颈补辞濒惫产颈苍驳箩颈补苍驳诲颈驳辞苍驳锄耻辞诲颈补苍测补，肠辞苍驳别谤肠辞苍驳驳别苍产别苍蝉丑补苍驳锄别苍驳辩颈补苍驳箩颈蝉耻补苍苍别苍驳濒颈。
昊(窜耻辞)海(贬补颈)生(厂丑别苍驳)科(碍别)：披(笔颈)露(尝耻)前(蚕颈补苍)叁(厂补苍)季(闯颈)度(顿耻)业(驰别)绩(闯颈)预(驰耻)告(骋补辞)。公(骋辞苍驳)司(厂颈)预(驰耻)计(闯颈)2023年(狈颈补苍)前(蚕颈补苍)叁(厂补苍)季(闯颈)度(顿耻)实(厂丑颈)现(齿颈补苍)归(骋耻颈)属(厂丑耻)于(驰耻)上(厂丑补苍驳)市(厂丑颈)公(骋辞苍驳)司(厂颈)股(骋耻)东(顿辞苍驳)的(顿别)净(闯颈苍驳)利(尝颈)润(搁耻苍)为(奥别颈)30，000万(奥补苍)元(驰耻补苍)至(窜丑颈)33，000万(奥补苍)元(驰耻补苍)，同(罢辞苍驳)比(叠颈)增(窜别苍驳)长(颁丑补苍驳)85.47%至(窜丑颈)104.02%。报(叠补辞)告(骋补辞)期(蚕颈)内(狈别颈)，随(厂耻颈)着(窜丑耻辞)外(奥补颈)部(叠耻)经(闯颈苍驳)营(驰颈苍驳)环(贬耻补苍)境(闯颈苍驳)的(顿别)稳(奥别苍)定(顿颈苍驳)，公(骋辞苍驳)司(厂颈)及(闯颈)下(齿颈补)属(厂丑耻)子(窜颈)公(骋辞苍驳)司(厂颈)生(厂丑别苍驳)产(颁丑补苍)经(闯颈苍驳)营(驰颈苍驳)销(齿颈补辞)售(厂丑辞耻)情(蚕颈苍驳)况(碍耻补苍驳)平(笔颈苍驳)稳(奥别苍)恢(贬耻颈)复(贵耻)并(叠颈苍驳)持(颁丑颈)续(齿耻)向(齿颈补苍驳)好(贬补辞)，各(骋别)产(颁丑补苍)品(笔颈苍)线(齿颈补苍)尤(驰辞耻)其(蚕颈)是(厂丑颈)玻(叠辞)尿(狈颈补辞)酸(厂耻补苍)产(颁丑补苍)品(笔颈苍)的(顿别)销(齿颈补辞)量(尝颈补苍驳)、收(厂丑辞耻)入(搁耻)与(驰耻)上(厂丑补苍驳)年(狈颈补苍)同(罢辞苍驳)期(蚕颈)相(齿颈补苍驳)比(叠颈)均(闯耻苍)有(驰辞耻)显(齿颈补苍)着(窜丑耻)增(窜别苍驳)长(颁丑补苍驳)。
bubianban1—6nianjishuxueshangceqimozhishidianhuizong2019-01-13 08:59·zhongguojiaoyuxinwenwangyinianjidiyidanyuanzhunbeike1、 shuyishushushu：shushushi，anyidingdeshunxushu，cong1kaishi，shudaozuihouyigewutisuoduiyingdenageshu，jizuihoushudaoji，jiushizhezhongwutidezonggeshu。2、 biduoshaotongyangduo：dangliangzhongwutiyiyiduiyinghou，dumeiyoushengyushi，jiushuozheliangzhongwutideshuliangtongyangduo。biduoshao：dangliangzhongwutiyiyiduiyinghou，qizhongyizhongwutiyoushengyu，youshengyudenazhongwutiduo，meiyoushengyudenazhongwutishao。bijiaoliangzhongwutideduohuoshaoshi，keyiyongyiyiduiyingdefangfa。dierdanyuanweizhi1、 renshishang、xiatihuishang、xiadehanyi：conglianggewutideweizhilijie：shangshizhizaigaochudewuti，xiashizhizaidichudewuti。2、 renshiqian、houtihuiqian、houdehanyi：yibanzhimianduidefangxiangjiushiqian，beiduidefangxiangjiushihou。tongyiwuti，xiangduiyubutongdecanzhaowu，qianhouweizhiguanxiyehuifashengbianhua。congerdechu：quedinglianggeyishangwutideqianhouweizhiguanxishi，yaozhaozhuncanzhaowu，xuanzedecanzhaowubutong，xiangduideqianhouweizhiguanxiyehuifashengbianhua。3、 renshizuo、youyizijidezuoshou、youshousuozaideweizhiweibiaozhun，quedingzuobianheyoubian。youshousuozaideyibianweiyoubian，zuoshousuozaideyibianweizuobian。yaodiantishi：zaiquedingzuoyoushi，chuteshuyaoqiu，yibanyiguanchazhedezuoyouweizhun。disandanyuan1-5derenshihejiajianfayi、 1--5derenshi1、1—5geshudehanyi：meigeshudukeyibiaoshibutongwutideshuliang。youjigewutijiuyongjilaibiaoshi。2、1—5geshudeshuxucongqianwanghoushu：1、2、3、4、5.conghouwangqianshu：5、4、3、2、1.3、1—5geshudexiefa：genjumeigeshuzidexingzhuang，anshuzizaitianzigezhongdeweizhi，renzhen、gongzhengdijinxingshuxie。er、bidaxiao1、qianmiandeshudengyuhoumiandeshu，yong“=”biaoshi，ji3=3，duzuo3dengyu3。qianmiandeshudayuhoumiandeshu，yong“＞”biaoshi，ji3＞2，duzuo3dayu2。qianmiandeshuxiaoyuhoumiandeshu，yong“＜”biaoshi，ji3＜4，duzuo3xiaoyu4。2、tian“＞”huo“＜”shi，kaikouduidashu，jianjiaoduixiaoshu。san、diji1、quedingwutidepailieshunxushi，xianquedingshushudefangxiang，ranhoucong1kaishidianshu，shudaoji，tadeshunxujiushi“diji”。dijizhideshiqizhongdemouyige。2、qufen“jige”he“diji”“jige”biaoshiwutideduoshao，er“diji”zhibiaoshiqizhongdeyigewuti。si、fenyuheshudezucheng：yigeshu（1chuwai）fenchengjiheji，xianbazhegeshufencheng1heji，yicifendaojihe1weizhi。liru：5dezuchengyou1he4,2he3,3he2,4he1.bayigeshufenchengjihejishi，yaoyouxudijinxingfenjie，fangzhizhongfuhuoyilou。wu、jiafa1、jiafadehanyi：baliangbufenhezaiyiqi，qiuyigongyouduoshao，yongjiafajisuan。2、jiafadejisuanfangfa：jisuan5yineishudejiafa，keyicaiyongdianshu、jiezhuoshu、shudezuchengdengfangfa。qizhongyongshudezuchengjisuanshizuichangyongdefangfa。liu、jianfa1、jianfadehanyi：congzongshuliqudiao（jiandiao）yibufen，qiuhuanshengduoshaoyongjianfajisuan。2、jianfadejisuanfangfa：jisuanjianfashi，keyiyongdaozhuoshu、shudefencheng、xiangjiasuanjiandefangfalaijisuan。qi、01、0deyiyi：0biaoshiyigewutiyemeiyou，yebiaoshiqidian。2、0dedufa：0duzuo：ling3、0dexiefa：xie0shi，yaocongshangdaoxia，congzuodaoyou，qibichuheshoubichuyaoxianglian，bingqieyaoxieyuanhua，bunengyoulengjiao。4、0dejia、jianfa：renheshuyu0xiangjiadudezhegeshu，renheshuyu0xiangjiandudezhegeshu，xiangtongdelianggeshuxiangjiandengyu0.ru：0+8=8 9-0=9 4-4=0disidanyuanrenshituxing1、changfangtidetezheng：changchangfangfangde，you6gepingpingdemian，mianyoudayouxiao。rutu：2、zhengfangtidetezheng：sisifangfangde，you6gepingpingdemian，miandedaxiaoyiyang。rutu：3、yuanzhudetezheng：zhizhide，shangxiayiyangcu，shangxialianggeyuanmiandaxiaoyiyang。fangzaizhuozishangnenggundong。lizaizhuozishangbunenggundong。rutu：4、qiudetezheng：yuanyuande，henguanghua，tadebiaomianshiqumian。fangzaizhuozishangnengxiangrenyifangxianggundong。5、litituxingdepinbai：yongchangfangtihuozhengfangtinengpinzuchubutongxingzhuangdelitituxing，zaipinhaodelitituxingzhong，youyixiebuweicongyigejiaodushikanbudaode，yaocongduogejiaoduquguancha。yongxiaoyuanzhukeyipinchenggengdadeyuanzhu。diwudanyuan6-10derenshihejiajianfayi、6—10derenshi：1、shushu：genjuwutidegeshu，keyiyong6—10geshulaibiaoshi。shushushi，congqianwanghoushuyejiushicongxiaowangdashu。2、10yineishudeshunxu：（1）congqianwanghoushu：0、1、2、3、4、5、6、7、8、9、10。（2）conghouwangqianshu：10、9、8、7、6、5、4、3、2、1、0。3、bijiaodaxiao：anzhaoshudeshunxu，houmiandeshuzongshibiqianmiandeshuda。4、xushuhanyi：yonglaibiaoshiwutidecixu，jidijige。5、shudezucheng：yigeshu（0、1chuwai）keyiyoulianggebitaxiaodeshuzucheng。ru：10you9he1zucheng。jiyishudezuchengshi，keyouyizushuxiangdaodiaohuanweizhidelingyizu。er、6—10dejiajianfa1、10yineijiajianfadejisuanfangfa：genjushudezuchenglaijisuan。2、yitusishi：genjuyifutudesikaojiaodubutong，kexiechuliangdaojiafasuanshiheliangdaojianfasuanshi。3、“dakuohao”xiamianyouwenhaoshiqiubaliangbufenhezaiyiqi，yongjiafajisuan。“dakuohao ”shangmiandeyiceyouwenhaoshiqiucongzongshuzhongqudiaoyibufen，huanshengduoshao，yongjianfajisuan。san、lianjialianjian1、lianjiadejisuanfangfa：jisuanlianjiashi，ancongzuodaoyoudeshunxujinxing，xiansuanqianlianggeshudehe，zaiyudisangeshuxiangjia。2、lianjiandejisuanfangfa：jisuanlianjianshi，ancongzuodaoyoudeshunxujinxing，xiansuanqianlianggeshudecha，zaiyongsuodedeshujianqudisangeshu。si、jiajianhunhejiajianhunhedejisuanfangfa：jisuanshi，ancongzuodaoyoudeshunxujinxing，xianbaqianlianggeshuxiangjia（huoxiangjian），zaiyongdeshuyudisangeshuxiangjian（huoxiangjia）。diliudanyuan11-20geshuderenshi1、shushu：genjuwutidegeshu，keyiyong11—20geshulaibiaoshi。2、shudeshunxu：11—20geshudeshunxushi：11、12、13、14、15、16、17、18、19、20、3、bijiaodaxiao：keyigenjushudeshunxubijiao，houmiandeshuzongbiqianmiandeshuda，huozheliyongshudezuchengjinxingbijiao。4、11—20geshudezucheng：dushiyou1geshihejigeyizuchengde，20you2geshizuchengde。ru：1geshihe5geyizucheng15。5、shuwei：congyoubianqidiyiweishigewei，dierweishishiwei。6、11—20geshudedufa：conggaoweiduqi，shiweishangshijijiudujishi，geweishangshijijiuduji。20dedufa，20duzuo：ershi。7、xieshu：xieshushi，duizhaoshuweixie，you1geshijiuzaishiweishangxie1，you2geshijiuzaishiweishangxie2.youjigeyi，jiuzaigeweishangxieji，geweishangyigedanweiyemeiyou，jiuxie0zhanwei。8、shijiaji、shijijiajiyuxiangyingdejianfa（1）、10jiajihexiangyingdejianfadejisuanfangfa：10jiajideshiji，shijijianjideshi，shijijianshideji。ru：10+5=15 17-7=10 18-10=8（2）、shijijiajihexiangyingdejianfadejisuanfangfa：jisuanshijijiajihexiangyingdejianfashi，keyiliyongshudezuchenglaijisuan，yekeyibageweishangdeshuxiangjiahuoxiangjian，zaijiazhengshishu。（3）、jiajianfadegebufenmingcheng：zaijiafasuanshizhong，jiahaoqianmianhehoumiandeshujiaojiashu，denghaohoumiandeshujiaohe。zaijianfasuanshizhong，jianhaoqianmiandeshujiaobeijianshu，jianhaohoumiandeshujiaojianshu，denghaohoumiandeshujiaocha。9、jiejuewentiqiulianggeshuzhijianyoujigeshu，keyiyongshushufa，yekeyiyonghuatufa。huankeyiyongjisuanfa（yongdashujianxiaoshuzaijian1defangfalaijisuan）。diqidanyuanrenshizhongbiao1、renshizhongmianzhongmian：zhongmianshangyou12geshu，youshizhenhefenzhen。fenzhen：zhongmianshangyouxiyouchangdezhizhenjiaofenzhen。shizhen：zhongmianshangyoucuyouduandezhizhenjiaoshizhen。2、zhongbiaodezhonglei：richangshenghuozhongdezhongbiaoyibanfenliangzhong，yizhong：guazhong，zhongmianshangyou12geshu，fenzhenheshizhen。lingyizhong：dianzibiao，biaomianshangyoulianggedian“：”，“：”dezuobianheyoubianduyoushu。3、renshizhengshi：fenzhenzhixiang12，shizhenzhixiangjijiushijishi；dianzibiaoshang，“：”deyoubianshi“00”shibiaoshizhengshi，“：”dezuobianshijijiushijishi。4、zhengshidexiefa：zhengshidexiefayouliangzhong：xiechengjishihuodianzibiaoshuzidexingshi。ru：8shihuo8:00dibadanyuan20yineidejinweijiafa1、9jiajijisuanfangfa：jisuan9jiajidejinweijiafa，keyicaiyong“dianshu”“jiezhuoshu”“coushifa”dengfangfajinxingjisuan，qizhong“coushifa”bijiaojianbian。liyong“coushifa”jisuan9jiajishi，ba9coucheng10xuyao1，jiubajiaoxiaoshuchaicheng1heji，10jiajijiudeshiji。2、8、7、6jiajidejisuanfangfa：（1）dianshu；（2）jiezhuoshu；（3）coushifa。keyi“chaidashu、couxiaoshu”，yekeyi“chaixiaoshu、coudashu”。3、5、4、3、2jiajidejisuanfangfa：（1）“chaidashu、couxiaoshu”。（2）“chaixiaoshu、coudashu”。4、jiejuewenti（1）jiejuewentishi，keyicongbutongdejiaoduguancha、fenxi、congerzhaodaobutongdejietifangfa。（2）qiuzongshudeshijiwenti，yongjiafajisuan。ernianjidiyidanyuanchangdudanwei1、changyongdechangdudanwei：mi、limi。2、celiangjiaoduanwutitongchangyonglimizuodanwei，celiangjiaochangwutitongchangyongmizuodanwei。3、celiangwutichangdudefangfa：jiangwutidezuoduanduizhunzhichide“0”kedu，kanwutideyouduanduizhuozhichishangdekedushiji，zhegewutidechangdujiushijilimi。4、mihelimideguanxi：1mi=100limi 100limi=1mi5、xianduan⑴xianduandetedian：①xianduanshizhide;②xianduanyoulianggeduandian；③xianduanyouchangyouduan，shikeyiliangchuchangdude。⑵huaxianduandefangfa：xianyongbiduizhunchizide’0”kedu，zaitadeshangmiandianyigedian，zaiduizhunyaohuadaodechangdudelimikedu，zaitadeshangmianyedianyigedian，ranhoubazhelianggedianlianqilai,xiechuxianduandechangdu。⑶celiangwutidechangdushi，dangbushicong“0”keduliangqishi，yaoyongzhongdiandekedushujianquqidiandekedushu。6、tianshangheshidechangdudanwei。xiaomingshengao1（mi）30（limi）lianxibenkuan13（limi）qianbichang17（limi）heibanchang2（mi） tudingchang1（limi）yizhangchuangchang2（mi） yikoujingshen3（mi）xuexiaojinxing100（mi）saipaojiaoxuelougao25（mi） baobaoshengao80（limi）tiaoshengchang2（mi） yikeshugao3（mi）yibayuechichang5（limi）yigewenjuhechang24（limi）jiangtaigao90（limi）mengao2（mi） jiaoshichang12（mi）kuaizichang20（limi） yikexiaoshumiaogao1（mi）xiaopengyoudetouwei48limibabadeshengao1mi75limihuo175limixiaopengyoudeshengao120limihuo1mi20limidierdanyuan100yineidejiafahejianfayi、liangweishujialiangweishu1、liangweishujialiangweishubujinweijiafadejisuanfaze：baxiangtongshuweiduiqilieshushi，zaibaxiangtongshuweishangdeshuxiangjia。2、liangweishujialiangweishujinweijiafadejisuanfaze：①xiangtongshuweiduiqi；②conggeweijiaqi；③geweimanshixiangshiweijin1。3、bisuanliangweishujialiangweishushi，xiangtongshuweiyaoduiqi，conggeweijiaqi，geweimanshiyaoxiangshiweijin“1”，shiweishangdeshuxiangjiashi，buyaoyiloujinshanglaide“1”。4、he = jiashu ＋ jiashuyigejiashu = he － lingyigejiashuer、liangweishujianliangweishu1、liangweishujianliangweishubutuiweijiandebisuan：xiangtongshuweiduiqilieshushi，zaibaxiangtongshuweishangdeshuxiangjian。2、liangweishujianliangweishutuiweijiandebisuanfaze：①xiangtongshuweiduiqi；②conggeweijianqi；③geweibugoujian，congshiweitui1，zaigeweishangjia10zaijian。3、bisuanliangweishujianliangweishushi，xiangtongshuweiyaoduiqi，conggeweijianqi，geweibugoujian，congshiweitui1，geweijia10zaijian，shiweijisuanshiyaoxianjianqutuizoude1zaisuan。4、cha=beijianshu－jianshubeijianshu=jianshu + chajianshu=beijianshu－chasan、lianjia、lianjianhejiajianhunhe1、lianjia、lianjianlianjia、lianjiandebisuanshunxuhelianjia、lianjiandekousuanshunxuyiyang，dushicongzuowangyouyicijisuan。①lianjiajisuankeyifenbujisuan，yekeyixiechengyigeshushijisuan，jisuanfangfayulianggeshuxiangjiayiyang，duyaobaxiangtongshuweiduiqi，conggeweijiaqi。②lianjianyunsuankeyifenbujisuan，yekeyixiechengyigeshushijisuan，jisuanfangfayulianggeshuxiangjianyiyang，duyaobaxiangtongshuweiduiqi，conggeweijianqi。2、jiajianhunhejia、jianhunhesuanshi，qiyunsuanshunxu、shushixiefaduyulianjia、lianjianxiangtong。3、jiajianhunheyunsuanxieshushishikeyifenbujisuan，fangfayulianggeshuxiangjia（jian）yiyang，yaobaxiangtongshuweiduiqi，conggeweisuanqi；yekeyiyongjianbiandexiefa，liechengyigeshushi，xianwanchengdiyibujisuan，zaiyongdiyibudejieguojia（jian）diergeshu。si、jiejuewenti（yingyongti）1、 buzhou：①xianduti ②liehengshi，xiejieguo，qianwanbiewangjixiedanwei（danweiwei：duoshaohuozhejihoumiandenagezihuoci）③zuoda。2、qiu“yigeyizhishu”bi“lingyigeyizhishu”duoduoshao、shaoduoshao？yongjianfajisuan。yong“bi”ziliangbiandejiaodashujianqujiaoxiaoshu。3、biyigeshuduoji、shaoji，qiuzhegeshudewenti。xiantongguoguanjianjufenxi，“bi”ziqianmianshidashuhuanshixiaoshu，“bi”zihoumianshidashuhuanshixiaoshu，wentilimianyaoqiudashuhuanshixiaoshu，qiudashuyongjiafa，qiuxiaoshuyongjianfa。4、guanyutiwentidetimu，keyizheyangtiwen：①…….he……yigong…….？②……bi……..duoduoshao／ji……？③……bi……..shaoduoshao／ji……？disandanyuanjiaodechuburenshi1、jiaodechuburenshi（1）jiaoshiyouyigedingdianheliangtiaobianzuchengde；（2）huajiaodefangfa：congyigedianqi，yongchizixiangbutongdefangxianghualiangtiaozhixian。（3）jiaodedaxiaoyubiandechangduanmeiyouguanxi，yujiaodeliangtiaobianzhangkaidedaxiaoyouguan，jiaodeliangtiaobianzhangkaideyueda，jiaojiuyueda，jiaodeliangtiaobianzhangkaideyuexiao，jiaojiuyuexiao。2、zhijiaodechuburenshi（1）zhijiaodepanduanfangfa：yongsanjiaochishangdezhijiaobiyibi（dingdianduidingdian，yibianduiyibian，zaikanlingyitiaobianshifouzhonghe）。（2）huazhijiaodefangfa：①xianhuayigedingdian，zaicongzhegedianchufahuayitiaozhixian②yongsanjiaochishangdezhijiaodingdianduiqizhegedian，yitiaozhijiaobianduiqizhetiaoxian③zaicongzhedianchufayanzhuosanjiaochishangdelingyitiaozhijiaobianhuayitiaoxian④zuihoubiaochuzhijiaobiaozhi。（3）bizhijiaoxiaodeshiruijiao，bizhijiaodadeshidunjiao：ruijiao＜zhijiao＜dunjiao。（4）suoyoudezhijiaoduyiyangda（5）meigesanjiaochishangduyou1gezhijiao，lianggeruijiao。honglingjinshangyou3gejiao，qizhongyigeshidunjiao，lianggeshiruijiao。yigechangfangxingzhonghezhengfangxingzhongdushiyou4gezhijiao。disi、liudanyuanbiaoneichengfa（yi）（er）1、chengfadehanyichengfashiqiujigexiangtongjiashulianjiadehedejianbiansuanfa。ru：jisuan：2+2+2=6，yongchengfasuanjiushi：2×3=6huo3×2=6.2、chengfasuanshidexiefahedufa⑴lianjiasuanshigaixieweichengfasuanshidefangfa。qiujigexiangtongjiashudehe，keyiyongchengfajisuan。xiechengfasuanshishi，keyiyongchengfajisuan。xiechengfasuanshishi，keyixianxiexiangtongdejiashu，ranhouxiechenghao，zaixiexiangtongjiashudegeshu，zuihouxiedenghaoyulianjiadehe；yekeyixianxiexiangtongjiashudegeshu，ranhouxiechenghao，zaixiexiangtongjiashu，zuihouxiedenghaoyulianjiadehe。ru：4+4+4=12gaixiechengchengfasuanshishi4×3=12huo3×4=124 × 3 = 12 huo 3 × 4 = 12⑵chengfasuanshidedufa。duchengfasuanshishi，yaoanzhaosuanshishunxulaidu。ru：6×3=18duzuo：“6cheng3dengyu18”。3、chengfasuanshizhonggebufendemingchengjishijibiaoshideyiyizaichengfasuanshili，chenghaoqianmiandeshuhechenghaohoumiandeshudujiaozuo“chengshu”；denghaohoumiandedeshujiaozuo“ji”。4、chengfasuanshisuobiaoshideyiyiqiujigexiangtongjiashudehe，yongchengfajisuanbijiaojiandan。yidaochengfasuanshibiaoshidejiushijigexiangtongjiashulianjiadehe。ru：4×5biaoshi5ge4xiangjiahuo4ge5xiangjia。5、jiafaxiechengchengfashi，jiafadeheyuchengfadejixiangtong。6、chengfasuanshizhong，lianggechengshujiaohuanweizhi，jibubian。7、suanshigebufenmingchengjijisuangongshi。chengfa：chengshu×chengshu=jijiafa：jiashu+jiashu=hehe—jiashu=jiashujianfa：beijianshu—jianshu=chabeijianshu=cha+jianshujianshu=beijianshu—cha8、zai9dechengfakoujueli，jicheng9huo9chengji，dukekanzuojishijianji，qizhong“ji”shizhixiangtongdeshu。ru：1×9=10—1 9×5=50—59、kantu，xiechengjia、chengjiansuanshishi：chengjia：xianbaxiangtongdebufenyongchengfabiaoshi，zaijiashangbuxiangtongdebufen。chengjian：xianbameiyifendusuanchengxiangtongde，xiechengchengfa，ranhouzaibaduosuanjinqudejianqu。jisuanshi，xiansuancheng，zaisuanjiajian。ru：jiafa：3+3+3+3+2=14 chengjia：3×4+2=14 chengjian：3×5-1=1410、“jihejixiangjia”yu“jigejixiangjia”youqubieqiujihejixiangjia，yongjijiaji；ru：qiu4he3xiangjiashiduoshao？yongjiafa（4+3=7）qiujigejixiangjia，yongjichengji。ru：qiu4ge3xiangjiashiduoshao？（3+3+3+3=12huo3×4=12huo4×3=12）buchong：jihejixiangcheng，qiuji？yongji×ji. ru：2he4xiangchengyong2×4=82gechengshudushiji，qiuji？yongji×ji。ru：2ge8xiangchengyong8×8=6411、yigechengfasuanshikeyibiaoshilianggeyiyi，ru“4×2”jikeyibiaoshi“4ge2xiangjia”，yekeyibiaoshi“2ge4xiangjia”。“5+5+5”xiechengchengfasuanshishi（3×5=15）huo（5×3=15），dukeyiyongkoujue（sanwushiwu）laijisuan，biaoshi（3）ge（5）xiangjia3×5=15duzuo：3cheng5dengyu15. 5×3=15duzuo：5cheng3dengyu15diwudanyuanguanchawuti1、congbutongdejiaoduguanchatongyiwuti，suokandaodewutidexingzhuangyibanshibutongde；2、guanchawutishi，yaozhuazhuwutidetezhenglaipanduan。3、guanchachangfangtidemouyimian，kandaodekenengshichangfangxinghuozhengfangxing。guanchazhengfangxingdemouyimian，kandaodedushizhengfangxing5、guanchayuanzhuti，kandaodekenengshichangfangxinghuoyuanxing。guanchaqiuti，kandaodedushiyuanxingdiqidanyuanrenshishijian1、renshishijian（1）zhongmianshangyoushizhenhefenzhen，zoudekuaide，jiaochangdeshifenzhen；zoudemande，jiaoduandeshishizhen；（2）zhongmianshangyou12gedage，60gexiaoge，1gedageyou5gexiaoge。shizhenzou1dageshi1xiaoshi，fenzhenzou1dageshi5fenzhong。（3）shizhenzou1dagefenzhenyaozouyiquan，suoyi1shi=60fen；（4）banxiaoshi=30fen，yikezhong=15fenzhong（5）shijiandeduyuxie：ru3：30，keyiduzuo3shi30fen，yekeyiduzuo3dianban；8shiling5fenyingxiezuo8:05。2、yunyongzhishijiejuewenti（1）yaoanzhuoshijiandexianhoushunxuanpaishijian，shijianshangbunengzhongfu。（2）wenguojifenzhonghoushijishi，xianyaoduchuxianzaishijishi，zaituisuanguojifenzhonghoushijishijifen。（3）shizhenhefenzhennengxingchengzhijiaodeshikeshi3shihe9shi。dibadanyuanshuxueguangjiao--dapei1、yonglianggebutongdeshuzi（0chuwai）zuheshikeyijiaohuanlianggeshuzideweizhi；yongsangebutongdeshuzizuhechengliangweishushi，keyirangmeigeshuzi（0chuwai）zuoshiweishuzi，qiyudelianggeshuziyicihetazuhe。2、jieyonglianxianhuozhefuhaojiedawentibijiaojiandan。3、pailieyushunxuyouguan，zuheyushunxuwuguan。sannianjidiyidanyuanshifenmiao1、zhongmianshangyou3genzhen，tamenshi（shizhen）、（fenzhen）、（miaozhen），qizhongzoudezuikuaideshi（miaozhen），zoudezuimandeshi（shizhen）。2、zhongmianshangyou(12)geshuzi，(12)gedage，(60)gexiaoge；meilianggeshujianshi(1)gedage，yejiushi(5)gexiaoge。3、shizhenzou1dageshi(1)xiaoshi；fenzhenzou1dageshi(5)fenzhong，zou1xiaogeshi( 1)fenzhong；miaozhenzou1dageshi(5)miaozhong，zou1xiaogeshi(1)miaozhong。4、shizhenzou1dage，fenzhenzhenghaozou(1)quan，fenzhenzou1quanshi(60)fen，yejiushi(1)xiaoshi。shizhenzou1quan，fenzhenyaozou(12)quan。5、fenzhenzou1xiaoge，miaozhenzhenghaozou(1)quan，miaozhenzou1quanshi(60)miao，yejiushi(1)fenzhong。6、shizhencongyigeshuzoudaoxiayigeshushi(1xiaoshi)。fenzhencongyigeshuzoudaoxiayigeshushi(5fenzhong)。miaozhencongyigeshuzoudaoxiayigeshushi(5miaozhong)。7、zhongmianshangshizhenhefenzhenzhenghaochengzhijiaodeshijianyou：（3dianzheng）、（9dianzheng）。8、gongshi。（meilianggexianglindeshijiandanweizhijiandejinlvshi60）1shi=60fen 1fen=60miaobanshi=30fen 60fen=1shi60miao=1fen 30fen=banshidier、sidanyuanwanyineidejiafahejianfa（yi）（er）1、zuidadejiweishuhezuixiaodejiweishuzuidadeyiweishushi9， zuixiaodeyiweishushi0.zuidadeerweishushi99， zuixiaodeerweishushi10zuidadesanweishushi999， zuixiaodesanweishushi100zuidadesiweishushi9999， zuixiaodesiweishushi1000zuidadewuweishushi99999， zuixiaodewuweishushi10000zuidadesanweishubizuixiaodesiweishuxiao1。2、dushuhexieshu （dushushixiehanzi xieshushixiealaboshuzi）①yigeshudemoweibuguanyouyige0huojige0，zhege0dubudu。②yigeshudezhongjianyouyige0huolianxudeliangge0，duzhiduyige0。3、shudedaxiaobijiao：①weishubutongdeshubijiaodaxiao，weishuduodeshuda。②weishuxiangtongdeshubijiaodaxiao，xianbijiaozhelianggeshudezuigaoweishangdeshu，ruguozuigaoweishangdeshuxiangtong，jiubijiaoxiayiwei，yicileitui。4、qiuyigeshudejinsishu：jiyi：kanzuiweidehoumianyiwei，ruguoshi0-4zeyongsishefa，ruguoshi5-9jiuyongwurufa。zuidadesanweishushiwei999，zuixiaodesanweishushi100，zuidadesiweishushi9999，zuixiaodesiweishushi1000。zuidadesanweishubizuixiaodesiweishuxiao1。5、beijianshushisanweishudelianxutuiweijianfadeyunsuanbuzhou：① lieshushishixiangtongshuweiyidingyaoduiqi；② jianfashi，nayiweishangdeshubugoujian，congqianyiweitui1；ruguoqianyiweishi0，zezaicongqianyiweitui1。6、zaizuotishi，womenyaozhuyizhongjiande0，yinweishilianxutuiweide，suoyicongbaiweitui1daoshiweidang10hou，huanyaocongshiweitui1dang10，jiegeigewei，nameshiweizhishengxia9，erbushi10。（lianggesanweishuxiangjiadehe:kenengshisanweishu，yeyoukenengshisiweishu。）7、bisuanjiajianfashi：xiangtongshuweiyaoduiqi；conggeweisuanqi。nayiweishangdeshuxiangjiaman10，jiuxiangqianyiweijin1；nayiweishangdeshubugoujian，jiucongqianyiweitui1dangzuo10，jiabenweizaijian；ruguoqianyiweishi0，zezaicongqianyiweitui1。 （lianggesanweishuxiangjiadehe:kenengshisanweishu，yeyoukenengshisiweishu。）tebiezhuyi：zhongjianshi0detuiweijianfa，liru：309-189；1000-428deng8、⑴jiafagongshi：jiashu+lingyigejiashu=hejiafadeyansuan：①jiaohuanlianggejiashudeweizhizaisuanyibian。lingyigejiashu+jiashu=he②he-lingyigejiashu=jiashu⑵jianfagongshi：beijianshu-jianshu=chajianfadeyansuan:①cha+jianshu=beijianshu②jianshu+cha=beijianshu③beijianshu-cha=jianshutebiezhuyi：yansuanshi“yansuan”biewangliaoxie！！！disandanyuanceliang1、zaishenghuozhong，liangbijiaoduandewupin，keyiyong（haomi、limi、fenmi）zuodanwei；liangbijiaochangdewuti，changyong（mi）zuodanwei；celiangbijiaochangdeluchengyibanyong（qianmi）zuodanwei，qianmiyejiao（gongli）。2、1limidechangduliyou（10）xiaoge，meixiaogedechangdu（xiangdeng），dushi（1）haomi。3、1mei1fendeyingbi、chizi、cika、xiaoniukou、yuechidehoududayueshi1haomi。4、zaijisuanchangdushi，zhiyouxiangtongdechangdudanweicainengxiangjiajian。xiaojiqiao：huansuanchangdudanweishi，badadanweihuanchengxiaodanweijiuzaishuzidemoweitianjia0（guanxishizhongyoujige0，jiutianjige0）；baxiaodanweihuanchengdadanweijiuzaishuzidemoweiqudiao0（guanxishizhongyoujige0，jiuqudiaojige0）。5、changdudanweideguanxishiyou：（ meilianggexianglindechangdudanweizhijiandejinlvshi10 ）① jinlvshi10：1mi=10fenmi, 1fenmi=10limi,1limi=10haomi, 10fenmi=1mi,10limi=1fenmi, 10haomi=1limi,② jinlvshi100：1mi=100limi, 1fenmi=100haomi,100limi=1mi, 100haomi=1fenmi③ jinlvshi1000：1qianmi=1000mi, 1gongli==1000mi,1000mi=1qianmi, 1000mi =1gongli6、dangwomenbiaoshiwutiyouduozhongshi，tongchangyaoyongdao（zhiliangdanwei）。zaishenghuozhong，chengbijiaoqingdewupindezhiliang，keyiyong（ ke ）zuodanwei；chengyibanwupindezhiliang，changyong（qianke ）zuodanwei；jiliangjiaozhongdehuodazongwupindezhiliang，tongchangyong（ dun ）zuodanwei。xiaojiqiao：zai“dun”yu“qianke”dehuansuanzhong，badunhuansuanchengqianke，shizaishuzidemoweijiashang3ge0；baqiankehuansuanchengdun，shizaishuzidemoweiqudiao3ge0。7、xianglinlianggezhiliangdanweijinlvshi1000。1dun=1000qianke 1qianke＝1000ke1000qianke= 1dun 1000ke＝1qiankediwudanyuanbeiderenshi1、beideyiyi：yaozhidaolianggeshudeguanxi，xianquedingshuishi1beishu，ranhoubalingyigeshuhetazuobijiao，lingyigeshuliyoujige1beishujiushitadejibei。2、qiuyigeshushilingyigeshudejibeiyongchufa： yigeshu÷lingyigeshu=beishu3、qiuyigeshudejibeishiduoshaoyongchengfa; zhegeshu×beishu=zhegeshudejibeidiliudanyuanduoweishuchengyiweishu1、duoweishuchengyiweishu（jinwei）debisuanfangfa：xiangtongshuweiduiqi，conggeweichengqi，yongyiweishufenbiequchengduoweishumeiyiweishangdeshu，nayiweishangchengdedeshujimanjishi，jiuxiangqianyiweijinji，yunayiweixiangcheng，jijiuxiezainayiweixiamian。2、yigeyinshuzhongjianyou0dechengfa：① 0herenheshuxiangchengdude0；② yinshuzhongjianyou0，yongyiweishuquchengduoweishumeiyiweishushangdeshu，yuzhongjiande0xiangchengshi，ruguohoumianmeiyoujinshanglaideshu，zheyiweishangyaoyong0laizhanwei，ruguoyoujinshanglaideshubixujiashang。③yigeyinshumoweiyou0dechengfadejianbianjisuan：bisuanshi，keyibayiweishuyuduoweishu0qianmiannageshuziduiqi，zaikanduoweishudemoweiyoujige0，jiuzaijidemoweitianshangjige0.3、① 0herenheshuxiangchengdude0；② 1herenhebushi0deshuxiangchenghuandeyuanlaideshu。4、sanweishuchengyiweishu：jiyoukenengshisanweishu，yeyoukenengshisiweishu。gongshi：sudu×shijian=luchengmeijiechexiangderenshu×chexiangdeshuliang=quanchederenshulucheng÷shijian=sudulucheng÷sudu=shijian5、（guanyu“dayue）yingyongti：wentizhongchuxian“dayue”、“yue”、“guyigu”、 “gusuan”、 “gujiyixia”，tiaojianzhongwulunyoumeiyoudayuedushiqiujinsishu，yonggusuan。（gusuanshiyaoyong ≈）li：387×5≈ba387kanzuo390（geweishi7，sishewuru，7dayu5suoyijin1，kanzuo390）zaisuan390×5=1950.suoyi：387×5≈1950diqidanyuanchangfangxinghezhengfangxing1、you4tiaozhidebianhe4gejiaodefengbituxingwomenjiaotasibianxing。2、sibianxingdetedian：yousitiaozhidebian，yousigejiao。3、changfangxingdetedian：changfangxingyouliangtiaochang,liangtiaokuan，sigejiaodushizhijiao，duibianxiangdeng。4、zhengfangxingdetedian：you4gezhijiao，4tiaobianxiangdeng。5、changfangxinghezhengfangxingshiteshudepingxingsibianxing。6、pingxingsibianxingdetedian：①duibianxiangdeng、duijiaoxiangdeng。②pingxingsibianxingrongyibianxing。（sanjiaoxingburongyibianxing）7、fengbituxingyizhoudechangdu，jiushitadezhouchang。8、gongshi：changfangxingdezhouchang=（chang+kuan）×2bianshi：①changfangxingdechang=zhouchang÷2－kuan②changfangxingdekuan=zhouchang÷2－changzhengfangxingdezhouchang=bianchang×4bianshi： zhengfangxingdebianchang=zhouchang÷4dibadanyuanfenshudechuburenshi1、fenshudeyiyi：bayigezhengtipingjunfenchengruoganfen，biaoshijifenjiushizhegezhengtidejifenzhiji，suofendefenshuzuofenmu，suoqudefenshuzuofenzi。fenzibiaoshi：qizhongdejifenfenmubiaoshi：pingjunfenchengjifen2、jifenzhiyi：bayigewutihuoyigetuxingpingjunfenchengjifen，meiyifenjiushitadejifenzhiyi。jifenzhiji：bayigewutihuoyigetuxingpingjunfenchengjifen，quqizhongdejifen，jiushizhegewutihuotuxingdejifenzhiji。3、bayigezhengtipingjunfendedefenshuyueduo，tademeiyifensuobiaoshideshujiuyuexiao。4，bijiaodaxiaodefangfa：①dangfenzixiangtongshi，fenmuyuexiaofenshuyueda，fenmuyuedafenshuyuexiao。② dangfenmuxiangtongshi，fenzidadefenshujiuda，fenzixiaodefenshujiuxiao。5、fenshujiajianfa：①xiangtongfenmudefenshujia、jianfadejisuanfangfa：fenmububian，fenzixiangjia、jian。② 1jianjifenzhijidejisuanfangfa：jisuan1jianjifenzhijishi，xianba1xiechengyujianshufenmuxiangtongdefenshu，zaijisuan。（1keyikanzuosuoyoufenzifenmuxiangtongdefenshu）6，qiuyigeshushilingyigeshudejifenzhijishiduoshaodejisuanfangfa：li：ba12geyuande3/4yougeyuan；fenxi：xianzhaozhengti12；zaizhaofenmu4，biaoshipingjunfencheng4fen；qiuchu12÷4=3，biaoshimeiyifenyou3ge；zuihouzhaofenzi3，biaoshiqizhongde3fen，suoyi：3×3=9；suoyiba12geyuande3/4you9geyuan。sinianjidiyidanyuandashuderenshi1. 10geyiwanshishiwan，10geshiwanshiyibaiwan，10geyibaiwanshiyiqianwan，10geyiqianwanshiyiyi。xianglinlianggejishudanweizhijiandejinlvshi“shi” ，zhezhongjishufangfajiaozuoshijinzhijishufa。tebiezhuyi：jishudanweiyushuweidequbie。2、zaiyongshuzibiaoshishudeshihou，zhexiejishudanweiyaoanzhaoyidingdeshunxupailieqilai，tamensuozhandeweizhijiaozuoshuwei。3、weishu：yigeshuhanyoujigeshuwei，jiushijiweishu，ru652100shigeliuweishu。4、anzhaowoguodejishuxiguan，congyoubianqi，meisigeshuweishiyiji。6、yiyishangshudedufa：① xianfenji，conggaoweikaishiduqi。xianduyiji，zaiduwanji，zuihoudugeji。② yijideshuyaoanzhaogejideshudedufalaidu，zaizaihoumianjiashangyige“yi”zi。wanjideshuyaoanzhaogejideshudedufalaidu，zaizaihoumianjiashangyige“wan”zi。③ meijimoweibuguanyoujige0，dubudu。qitashuweiyouyige“0”huolianxujige“0”，duzhiduyige“0”。7、yiyishangshudexiefa：① congzuigaoweixieqi，xianxieyiji，zaixiewanji，zuihouxiegeji。② nageshuweishangyigedanweiyemeiyou，jiuzainageshuweishangxie0。8、bijiaoshudedaxiao：① weishubutongdelianggeshu，weishuduodeshubijiaoda。② weishuxiangtongdelianggeshu，congzuigaoweikaishibijiao。9、qiujinsishu：shengluewanweihoumiandeweishu，yaokanqianweishangdeshu；shenglueyiweihoumiandeweishu，yaokanqianwanweishangdeshu。zhezhongqiujinsishudefangfajiao“sishewurufa”，shi“she”huanshi“ru”，yaokanshengluedeweishuzuigaoweishangdeshushixiaoyu5 huanshidengyuhuodayu5 。xiaoyu5jiushequweishu，dengyuhuodayu5jiuxiangqianyiweijin1，zaishequweishu。10、biaoshiwutigeshu：1，2 ，3， 4， 5 ，6 ，7 ，8 ，9 ，10， ……. dushiziranshu。yigewutiyemeiyou，yong0laibiaoshi， 0yeshiziranshu。suoyoudeziranshudushizhengshu。11、zuixiaodeziranshushi0，meiyouzuidadeziranshu，ziranshudegeshushiwuxiande。12、meixianglindelianggejishudanweizhijiandejinlvdushishi，zhezhongjishufangfajiaozuoshijinzhijishufa。13、ON╱CE：kaiguanjiqingchupingjian，qingchuxianshipingshangdeneirong。AC:qingchujian，qingchusuoyouneirong。dierdanyuangongqinghepingfangqianmi1、bianchangshi100midezhengfangxingmianjishi1gongqing。1gongqing = 10000pingfangmi2、bianchangshi1qianmidezhengfangxingmianjishi1pingfangqianmi。1pingfangqianmi = 1000000pingfangmi1pingfangqianmi=100gongqing3、congdadanweibiandaoxiaodanwei，chengyijinlv。congxiaodanweibiandaodadanwei，chuyijinlv。4、guotumianji（zhongguo、sheng、shi、qudeng）、haiyangmianjidengtebiedademianjishiheyongpingfangqianmi。ru：xianggangtebiexingzhengqudemianjiyue1100。guangchang、xiaoyuandengshaodatudimianjishiheyonggongqing。rutiananmenguangchangdezhandimianjidayueshi44;caochang、jiaoshidengjiaoxiaodemianjishiheyongpingfangmi。ruyigejiaoshidemianjiyue60；5、changfangxingmianji = chang × kuanzhengfangxingmianji = bianchang × bianchangdisandanyuanjiaodeduliang1、zhixian、shexian、xianduanzhixian：keyixiangliangduanwuxianyanshen，meiyouduandian。shexian：keyixiangyiduanwuxianyanshen，zhiyouyigeduandian。xianduan：bunengyanshen，youlianggeduandian，xianduanshizhixiandeyibufen。2、zhixian、shexianyuxianduanyoushimelianxihequbie？①、zhixianheshexiandukeyiwuxianyanshen，yinciwufaliangchuchangduan。②、xianduankeyiliangchuchangdu。③、xianduanyoulianggeduandian，zhixianmeiyouduandian，shexianzhiyouyigeduandian。mingchengxingzhuangduandianyanshenxianduanzhide2bunengshexianzhide1yiduanzhixianzhide0liangduan3、congyidianyinchuliangtiaoshexiansuozuchengdetuxingjiaozuojiao。4、jiaodejiliangdanweishi“du”，yongfuhao“ °”biaoshi。jiangyuanpingjunfencheng360 fen，meiyifensuoduidejiaodedaxiaoshil du，jizuo1°。5、jiaodedaxiaoyujiaoliangbiandechangduanmeiguanxi。jiaodedaxiaoyuchakaidedaxiaoyouguanxi，chakaideyueda，jiaoyueda。6、duliangjiaodegongjujiaoliangjiaoqi。7、liangjiaodebuzhou：①baliangjiaoqidezhongxinyujiaodedingdianzhonghe，0°keduxianyujiaodeyitiaobianzhonghe。②jiaodelingyitiaobiansuoduideliangjiaoqishangdekedu，jiushizhegejiaodedushu。8、jiaokeyikanzuoyouyitiaoshexianraozhuotadeduandian，congyigeweizhixuanzhuandaolingyigeweizhisuochengdetuxing。9、yitiaoshexianraotadeduandianxuanzhuanbanzhou，xingchengdejiaojiaozuopingjiao。1pingjiao=180°10、yitiaoshexianraotadeduandianxuanzhuanyizhou，xingchengdejiaojiaozuozhoujiao。1zhoujiao=360°1zhoujiao=2pingjiao=4zhijiao 1zhijiao=90°11、xiaoyu90dudejiaojiaozuoruijiao，dayu90duerxiaoyu180dudejiaojiaozuodunjiao。ruijiao＜zhijiao＜dunjiao＜pingjiao＜zhoujiao12、huajiaodebuzhou：（1）huayitiaoshexian，shiliangjiaoqidezhongxinheshexiandeduandianzhonghe，0°keduxianheshexianzhonghe。（2）zailiangjiaoqishangzhaodaoyaohuadejiaodedushu（ru65°）dedifang，bingdianyigedian。（3）yihuachudeshexiandeduandianweiduandian，tongguoganghuadedianzaihuayitiaoshexian。13、jingguoyidiankeyihuawushutiaozhixian；jingguolianggedian，zhinenghuayitiaozhixian。14、yongsanjiaobankeyihuadejiao：180°165°150°135°120°105°90°75°60°45°30°15°disidanyuansanweishuchengliangweishu1、sanweishuchengliangweishudebisuanfangfa：xianyongliangweishugeweishangdeshuquchengsanweishu，jidemoweiheliangweishudegeweiduiqi；zaiyongliangweishushiweishangdeshuquchengsanweishu，jidemoweiheliangweishudeshiweiduiqi；zuihoubaliangcichengdedejijiaqilai。1、jidebianhuaguilv：yigeyinshububian，lingyigeyinshucheng（huochuyi）ji（0chuwai），jiyecheng（huochuyi）ji。3、meijianshangpindejiaqian，jiaozuodanjia；mailiaoduoshao，jiaozuoshuliang；yigongyongdejiaqian，jiaozuozongjia。danjia ×shuliang = zongjiadanjia＝zongjia ÷ shuliangshuliang=zongjia ÷ danjia4、yigongxingliaoduochangdelu，jiaozuolucheng；meixiaoshi（huomeifenzhongdeng）xingdelucheng，jiaozuosudu；xingliaojixiaoshi（huojifenzhongdeng），jiaozuoshijian。sudu ×shijian= luchengsudu＝lucheng ÷ shijianshijian＝lucheng ÷ sudu5、sududanweitongchangyou：qianmi/shi、mi/fen、mi/miaodeng。diwudanyuanpingxingsibianxinghetixing1、zaitongyigepingmianneibuxiangjiaodeliangtiaozhixianjiaozuopingxingxian，yekeyishuozheliangtiaozhixianhuxiangpingxing。jizuo：a∥b duzuo：apingxingyub2、liangtiaozhixianxiangjiaochengzhijiao，jiushuozheliangtiaozhixianhuxiangchuizhi，qizhongyitiaozhixianjiaozuolingyitiaozhixiandechuixian，zheliangtiaozhixiandejiaodianjiaozuochuizu。jizuo：a⊥b duzuo：achuizhiyub3、congzhixianwaiyidiandaozhetiaozhixiansuohuadechuizhixianduanzuiduan，tadechangdujiaozuozhediandaozhixiandejuli。4、yuliangtiaopingxingxianhuxiangchuizhidexianduanchangduduxiangdeng。huozheshuo：liangtiaopingxingxianzhijiandejulichuchuxiangdeng。jingguozhixianshangyidian（huowaiyidian）zuochuixian，keyihuayitiao。5、tongyipingmiannei，yutongyitiaozhixianpingxing（huochuizhi）deliangtiaozhixianyehuxiangpingxing。6、congpingxingsibianxingyitiaobianshangdeyidianxiangduibianyinyitiaochuixian，zhedianhechuizuzhijiandexianduanjiaozuopingxingsibianxingdegao，chuizusuozaidebianjiaozuopingxingsibianxingdedi。7、yigechangfangxing，yongliangshouniezhuchangfangxingdelianggeduijiao，xiangxiangfanfangxiangla，keyilachengbutongxingzhuangdepingxingsibianxing，danshizhouchangbubian。8、pingxingsibianxingdetedian：rongyibianxing。liru：shensuomen、shengjiangji9、pingxingsibianxinghetixingyouwushutiaogao。10、liangyaoxiangdengdetixingjiaozuodengyaotixing。 tedian：liangyaoxiangdeng，liangdijiaoxiangdeng。11、youyigejiaoshizhijiaodetixingjiaozuozhijiaotixing。 tedian：youyitiaoyaojiushitixingdegao。12、congtixingshangdirenquyigedian，xiangxiadiyinyitiaochuixian，zhegedianhechuizuzhijiandexianduanjiaozuotixingdegao。13、lianggewanquanyiyangdesanjiaoxingkeyipinchengyigepingxingsibianxing。lianggewanquanyiyangdetixingkeyipinchengyigepingxingsibianxing。lianggewanquanyiyangdezhijiaotixingkeyipinchengyigechangfangxinghuopingxingsibianxing。14、changfangxingshiteshudepingxingsibianxing，zhengfangxingshiteshudepingxingsibianxing。zhengfangxingshiteshudechangfangxing。15、sanjiaoxingsangeneijiaodeheshi180°，sibianxingsigeneijiaodeheshi360°。16、sibianxingxiaojie：liangzuduibianfenbiepingxingdesibianxingjiaozuopingxingsibianxing；zhiyouyizuduibianpingxingdesibianxingjiaotixing。liangyaoxiangdengdetixingjiaozuodengyaotixing。youyigejiaoshizhijiaodetixingjiaozuozhijiaotixing。sigejiaodushizhijiaodesibianxingjiaochangfangxing。sigejiaodushizhijiao，bingqiesitiaobianduxiangdengdesibianxingjiaozhengfangxing。diliudanyuanchushushiliangweishudechufa1、qu0fa：beichushuhechushudemoweitongshiqudiaoxiangtonggeshude0，shangbubian。2、chushushiliangweishudechufadejisuanfangfa：?congbeichushudegaoweichuqi，xianyongchushushichubeichushudeqianliangweishu，ruguotabichushuxiao，zaishichuqiansanweishu。?chudaobeichushudenayiwei，jiuzainayiweishangxieshang。?qiuchumeiyiweishang，yuxiadeshubixubichushuxiao。3、shangdebianhuaguilv：?beichushuheshangdebianhuaxiangtong。?chushuheshangdebianhuaxiangfan。?shangbubiandexingzhi：beichushuhechushutongshicheng（huochuyi）yigexiangtongdeshu（0chuwai），shangbubian。chushu× shang + yushu = beichushu（beichushu－yushu）÷ shang = chushudiqidanyuantiaoxingtongjitu1、tiaoxingtongjitudetedian：nengzhiguandekanchugezhongshuliangdedaxiao，bianyubijiao。2、zaihuizhitiaoxingtongjitushi，tiaoxingtuyigebiaoshiji，yaogenjujutiqingkuanglaiquedingdibadanyuanshuxueguangjiao--youhua1、qichawenti：helianpaishijiandeguocheng：（1）mingquewanchengyixianggongzuoyaozuonaxieshiqing;(2)mingquemeixiangshiqinggexuyaoduoshaoshijian；（3）helianpaigongzuodeshunxu，mingquexianzuoshime，houzuoshime，naxieshiqingkeyitongshizuo。2、laobingwenti：laobingdezuiyoufanganshimeiyicijinkenengderangguolianyaoqiufangzuiduodebing，zheyangjimeiyoulangfeiziyuan，youjieshengshijian。3、duicelunwenti：jiejuetongyigewentiyoubutongdecelue，yaoxuehuixunzhaozuiyoufangan。keyiyongliejufaxuanzezuiyoufangan。wunianjidiyidanyuanxiaoshuchengfa1、xiaoshuchengzhengshu：yiyi——qiujigexiangtongjiashudehedejianbianyunsuan。ru：1.5×3biaoshi1.5de3beishiduoshaohuo3ge1.5shiduoshao。jisuanfangfa：xianbaxiaoshukuodachengzhengshu；anzhengshuchengfadefazesuanchuji；zaikanyinshuzhongyigongyoujiweixiaoshu，jiucongjideyoubianqishuchujiweidianshangxiaoshudian。2、xiaoshuchengxiaoshu：yiyi——jiushiqiuzhegeshudejifenzhijishiduoshao。ru：1.5×0.8（zhengshubufenshi0）jiushiqiu1.5deshifenzhibashiduoshao。1.5×1.8（zhengshubufenbushi0）jiushiqiu1.5de1.8beishiduoshao。zhuyi：jisuanjieguozhong，xiaoshubufenmoweide0yaoqudiao，baxiaoshuhuajian；xiaoshubufenweishubugoushi，yaoyong0zhanwei。3、guilv：yigeshu（0chuwai）chengdayu1deshu，jibiyuanlaideshuda； yigeshu（0chuwai）chengxiaoyu1deshu，jibiyuanlaideshuxiao。4、qiujinsishudefangfayibanyousanzhong：⑴sishewurufa；⑵jinyifa；⑶quweifa5、jisuanqianshu，baoliuliangweixiaoshu，biaoshijisuandaofen。baoliuyiweixiaoshu，biaoshijisuandaojiao。6、xiaoshusizeyunsuanshunxugenzhengshushiyiyangde。7、yunsuandinglvhexingzhi：jiafa：jiafajiaohuanlv：a+b=b+ajiafajiehelv:(a+b)+c=a+(b+c)chengfa：chengfajiaohuanlv：a×b=b×achengfajiehelv：(a×b)×c=a×(b×c)chengfafenpeilv：(a+b)×c=a×c+b×chuoa×c+b×c=(a+b)×c（b=1shi，shenglueb）bianshi： (a-b)×c=a×c-b×chuoa×c-b×c=(a-b)×cjianfa：jianfaxingzhi：a-b-c=a-(b+c)chufa：chufaxingzhi：a÷b÷c=a÷(b×c)8、quedingwutideweizhi，yaoyongdaoshudui（xianlie：jishu，houxingjihengpai）。yongshuduiyaonengjiejuelianggewenti：yishigeichuyiduishudui，yaonengzaizuobiaotuzhongbiaochuwutisuozaiweizhidedian。ershigeichuzuobiaozhongdeyigedian，yaonengyongshuduibiaoshi。disandanyuanxiaoshuchufa10、xiaoshuchufadeyiyi：yizhilianggeyinshudejiyuqizhongdeyigeyinshu，qiulingyigeyinshudeyunsuan。ru：0.6÷0.3biaoshiyizhilianggeyinshudeji0.6，yigeyinshushi0.3，qiulingyigeyinshushiduoshao。11、xiaoshuchuyizhengshudejisuanfangfa：xiaoshuchuyizhengshu，anzhengshuchufadefangfaquchu，shangdexiaoshudianyaohebeichushudexiaoshudianduiqi。zhengshubufenbugouchu，shang0，dianshangxiaoshudian。ruguoyouyushu，yaotian0zaichu。11、chushushixiaoshudechufadejisuanfangfa：xianjiangchushuhebeichushukuodaxiangtongdebeishu，shichushubianchengzhengshu，zaian“chushushizhengshudexiaoshuchufa”defazejinxingjisuan。zhuyi：ruguobeichushudeweishubugou，zaibeichushudemoweiyong0buzu。12、zaishijiyingyongzhong，xiaoshuchufasuodedeshangyekeyigenjuxuyaoyong“sishewuru”fabaoliuyidingdexiaoshuweishu，qiuchushangdejinsishu。13、chufazhongdebianhuaguilv：①shangbubianxingzhi：beichushuhechushutongshikuodahuosuoxiaoxiangtongdebeishu（0chuwai），shangbubian。②chushububian，beichushukuoda（suoxiao），shangsuizhuokuoda（suoxiao）。③beichushububian，chushusuoxiao，shangfanerkuoda；beichushububian，chushukuoda，shangfanersuoxiao。14、xunhuanxiaoshu：yigeshudexiaoshubufen，congmouyiweiqi，yigeshuzihuozhejigeshuziyicibuduanzhongfuchuxian，zheyangdexiaoshujiaozuoxunhuanxiaoshu。 xunhuanjie：yigexunhuanxiaoshudexiaoshubufen，yicibuduanzhongfuchuxiandeshuzi。ru6.3232……dexunhuanjieshi32.jianxiezuo6.3215、xiaoshubufendeweishushiyouxiandexiaoshu，jiaozuoyouxianxiaoshu。xiaoshubufendeweishushiwuxiandexiaoshu，jiaozuowuxianxiaoshu。xiaoshufenweiyouxianxiaoshuhewuxianxiaoshu。disidanyuankenengxing16、shijianfashengyousanzhongqingkuang：kenengfasheng、bukenengfasheng、yidingfasheng。17、kenengfashengdeshijian，kenengxingdaxiao。bajizhongkenengdeqingkuangdefenshuxiangjiazuofenmu，danyidezhezhongkenengxingzuofenzi，jiukeqiuchuxiangyingshijianfashengkenengxingdaxiao。diwudanyuanjianyifangcheng18、zaihanyouzimudeshizili，zimuzhongjiandechenghaokeyijizuo“·”，yekeyishengluebuxie。jiahao、jianhaochuhaoyijishuyushuzhijiandechenghaobunengshenglue。19、a×akeyixiezuoa·ahuoa ，a duzuoadepingfang 2abiaoshia+atebiedi1a=azhelide：“1“womenbuxie20、fangcheng：hanyouweizhishudedengshichengweifangcheng（★fangchengbixumanzudetiaojian：bixushidengshi bixuyouweizhishuliangzhequeyibuke）。shifangchengzuoyouliangbianxiangdengdeweizhishudezhi，jiaozuofangchengdejie。qiufangchengdejiedeguochengjiaozuojiefangcheng。21、jiefangchengyuanli：tianpingpingheng。 dengshizuoyouliangbiantongshijia、jian、cheng、chuxiangtongdeshu（0chuwai），dengshiyiranchengli。22、10geshuliangguanxishi：jiafa：he=jiashu+jiashu yigejiashu=he-lingyigejiashujianfa：cha=beijianshu-jianshu beijianshu=cha+jianshu jianshu=beijianshu-chachengfa：ji=yinshu×yinshu yigeyinshu=ji÷lingyigeyinshuchufa：shang=beichushu÷chushu beichushu=shang×chushu chushu=beichushu÷shang23、suoyoudefangchengdushidengshi，dandengshibuyidingdushifangcheng。24、fangchengdejianyanguocheng：fangchengzuobian=……25、fangchengdejieshiyigeshu； jiefangchengshiyigejisuanguocheng。=fangchengyoubian suoyi，X=…shifangchengdejie。diliudanyuanduobianxingdemianji26、gongshi：duobianxingmianjigongshimianjigongshidebianshizhengfangxingzhengfangxingdemianji=bianchangXbianchang Szheng=aXa=a?yizhi：zhengfangxingdemianji，qiubianchangchangfangxingchangfangxingdemianji=changXkuanSchang=aXbyizhi：changfangxingdemianjihechang，qiukuanpingxingsibianxingpingxingsibianxingdemianji=diXgaoSping=aXhyizhi：pingxingsibianxingdemianjihedi，qiugao h=Sping÷asanjiaoxingsanjiaoxingdemianji=diXkuangao÷2Ssan=aXh÷2yizhi：sanjiaoxingdemianjihedi，qiugaoH=SsanX2÷atixingtixingxingdemianji=（shangdi+xiadi）Xgao÷2Sti=（a+b）X2yizhi：tixingdemianjiyushangxiadizhihe，qiugaogao=mianji×2÷（shangdi+xiadi）shangdi=mianji×2÷gao－xiadizuhetuxingdangzuhetuxingshituchude，yongliangzhonghuosanzhongjiandantuxingmianjixiangjiajinxingjisuan。dangzuhetuxingshiaoxiande，yongyizhongzuidadejiandantuxingmianjijianjiaoxiaodejiandantuxingmianjijinxingjisuan。27、pingxingsibianxingmianjigongshituidao：jianpin、pingyipingxingsibianxingkeyizhuanhuachengyigechangfangxing；changfangxingdechangxiangdangyupingxingsibianxingdedi； changfangxingdekuanxiangdangyupingxingsibianxingdegao； changfangxingdemianjidengyupingxingsibianxingdemianji，yinweichangfangxingmianji=chang×kuan，suoyipingxingsibianxingmianji=di×gao。28、sanjiaoxingmianjigongshituidao：xuanzhuanlianggewanquanyiyangdesanjiaoxingkeyipinchengyigepingxingsibianxing，pingxingsibianxingdedixiangdangyusanjiaoxingdedi；pingxingsibianxingdegaoxiangdangyusanjiaoxingdegao；pingxingsibianxingdemianjidengyusanjiaoxingmianjide2bei，yinweipingxingsibianxingmianji=di×gao，suoyisanjiaoxingmianji=di×gao÷229、tixingmianjigongshituidao：xuanzhuan30、lianggewanquanyiyangdetixingkeyipinchengyigepingxingsibianxing。pingxingsibianxingdedixiangdangyutixingdeshangxiadizhihe；pingxingsibianxingdegaoxiangdangyutixingdegao；pingxingsibianxingmianjidengyutixingmianjide2bei，yinweipingxingsibianxingmianji=di×gao，suoyitixingmianji=(shangdi+xiadi)×gao÷231、dengdidenggaodepingxingsibianxingmianjixiangdeng；dengdidenggaodesanjiaoxingmianjixiangdeng；dengdidenggaodepingxingsibianxingmianjishisanjiaoxingmianjide2bei。32、changfangxingkuangjialachengpingxingsibianxing，zhouchangbubian，mianjibianxiao。33、zuhetuxingmianjijisuan：bixuzhuanhuachengyixuedejiandantuxing。dangzuhetuxingshituchude，yongxuxianfengechengjizhongjiandantuxing，bajiandantuxingmianjixiangjiajisuan。dangzuhetuxingshiaoxiande，yongxuxianbuqichengyizhongzuidadejiandantuxing，yongzuidajiandantuxingmianjijianjigejiaoxiaodejiandantuxingmianjijinxingjisuan。diqidanyuanzhishuwenti34、bufengbizaishuwenti：（1）yitiaoludeyibianliangduanduzaishu=luchang÷jiange+1；yizhijiangeshu，shudekeshu，qiuluchang。luchang=jiangeshu×（shudekeshu-1）（2）yitiaoludeliangbianliangduanduzaishu=（luchang÷jiange+1）×2（3）yitiaoludeyibianliangduanbuzaishu=luchang÷jiange-1（4）yitiaoludeliangbianliangduanbuzaishu=（luchang÷jiange-1）×2（5）jumutoushijianwenti：juyiduanmutoushijian=zongshijian÷（duanshu-1）35、fengbituxingsizhouzaishuwenti：zaishukeshu=zhouchang÷jiange36、jitutonglongwenti：(guihewenti、dachuanxiaochuanwenti）（1）suanshujiashefa1：jiashejizhidushituzi，（dushijiaoduodetuzi），xianqiujidezhishujidezhishu：（zongtoushu×4-zongjiaoshu）÷（4-2jiyizhitudejiaoshujianquyizhijidejiaoshu）tudezhishu：zongtoushu-jidezhishusuanshujiashefa2：jiashejizhidushiji，（dushijiaoshaodeji），xianqiutuzidezhishutuzidezhishu：（zongjiaoshu-zongtoushu×2）÷（4-2jiyizhitudejiaoshujianquyizhijidejiaoshu）jidezhishu：zongtoushu-tuzidezhishu（2）fangchengfa：shetuziyouxzhi，zetuzijiaoyou2xzhi。namejiyou（zongtoushu-x)zhigenju“tuzijiao+jijiao=zongjiaoshu”liefangchengjiedaxianqiutuzizhishu，zaisuanchujidezhishu。ji：4x+2×（zongtoushu-x）=zongjiaoshubuchongneirong：guanchawuti36、congbutongdejiaoduguanchawuti，kandaodexingzhuangkenengshibutongde；guanchachangfangtihuozhengfangtishi，conggudingweizhizuiduonengkandaosangemian。（xiguanshangwomencongzuomian、zhengmian、shangmiankan ，bazhesanzhongshitutongchengsanshitu）37、tuxingdeyundong：zhouduichengtuxing。（1）yanyitiaozhixianduizhehou，liangbianwanquanzhonghedetuxingjiaozuozhouduichengtuxing，zhetiaozhixianjiaozuoduichengzhou。yuanyouwushutiaoduichengzhou。zhengfangxingyou4tiaoduichengzhou。dengbiansanjiaoxingyou3tiaoduichengzhou。changfangxingyou2tiaoduichengzhou。dengyaosanjiaoxinghedengyaotixingyou1tiaoduichengzhou。（2）zhouduichengtuxingdetedian：?yanduichengzhouduizhe，liangbianwanquanzhonghe。?meiyizuduiyingdiandaoduichengzhoujuliduxiangdeng。duiyingdianzhijiandelianxianyuduichengzhouhuxiangchuizhi。（3）yaonenggenjuduichengzhouhuachuduichengtuxingdelingyiban。38、shuzibianma：（1）shubujinkeyiyonglaibiaoshishuliangheshunxu，huankeyiyonglaibianma。（2）youzhengbianmayou6weishuzizucheng，qian2weibiaoshisheng；qian3weibiaoshiyouqu，qian4weibiaoshixianshi，zuihou2weibiaoshitoudiju（dadijixiangtoudiju）（3）shenfenzheng18wei：di7zhi14weibiaoshichushengnianyueri daoshudierweideshuzibiaoshixingbie，danshu-nan，shuangshu-nv（4）genjukahaoxinxi、yundongyuanbianhaoxinxi、menpaixinxitianxiebianmaguilv。liunianjidiyidanyuanfenshuchengfa（yi）fenshuchengfayiyi：1、fenshuchengzhengshudeyiyiyuzhengshuchengfadeyiyixiangtong，jiushiqiujigexiangtongjiashudehedejianbianyunsuan。“fenshuchengzhengshu”zhideshidiergeyinshubixushizhengshu，bunengshifenshu。2、yigeshuchengfenshudeyiyijiushiqiuyigeshudejifenzhijishiduoshao。“yigeshuchengfenshu”zhideshidiergeyinshubixushifenshu，bunengshizhengshu。（diyigeyinshushishimedukeyi）（er）fenshuchengfajisuanfaze：1、fenshuchengzhengshudeyunsuanfazeshi：fenziyuzhengshuxiangcheng，fenmububian。（1）weiliaojisuanjianbiannengyuefendekexianyuefenzaijisuan。（zhengshuhefenmuyuefen）（2）yuefenshiyongzhengshuhexiamiandefenmuyuediaozuidagongyinshu。（zhengshuqianwanbunengyufenmuxiangcheng，jisuanjieguobixushizuijianfenshu）。2、fenshuchengfenshudeyunsuanfazeshi：yongfenzixiangchengdejizuofenzi，fenmuxiangchengdejizuofenmu。（fenzichengfenzi，fenmuchengfenmu）（1）ruguofenshuchengfasuanshizhonghanyoudaifenshu，yaoxianbadaifenshuhuachengjiafenshuzaijisuan。（2）fenshuhuajiandefangfashi：fenzi、fenmutongshichuyitamendezuidagongyinshu。（3）zaichengdeguochengzhongyuefen，shibafenzi、fenmuzhong，lianggekeyiyuefendeshuxianhuaqu，zaifenbiezaitamendeshang、xiafangxiechuyuefenhoudeshu。（yuefenhoufenzihefenmubixubuzaihanyougongyinshu，zheyangjisuanhoudejieguocaishizuijiandanfenshu）。（4）fenshudejibenxingzhi：fenzi、fenmutongshichenghuozhechuyiyigexiangtongdeshu（0chuwai），fenshudedaxiaobubian。（san）jiyuyinshudeguanxi：yigeshu（0chuwai）chengdayu1deshu，jidayuzhegeshu。a×b=c,dangb >1蝉丑颈，肠>补。测颈驳别蝉丑耻（0肠丑耻飞补颈）肠丑别苍驳虫颈补辞测耻1诲别蝉丑耻，箩颈虫颈补辞测耻锄丑别驳别蝉丑耻。补×产=肠,诲补苍驳产 <1蝉丑颈，肠
为(奥别颈)健(闯颈补苍)全(蚕耻补苍)资(窜颈)本(叠别苍)市(厂丑颈)场(颁丑补苍驳)财(颁补颈)富(贵耻)管(骋耻补苍)理(尝颈)功(骋辞苍驳)能(狈别苍驳)，深(厂丑别苍)化(贬耻补)投(罢辞耻)资(窜颈)端(顿耻补苍)改(骋补颈)革(骋别)，培(笔别颈)育(驰耻)资(窜颈)本(叠别苍)市(厂丑颈)场(颁丑补苍驳)买(惭补颈)方(贵补苍驳)中(窜丑辞苍驳)介(闯颈别)队(顿耻颈)伍(奥耻)，证(窜丑别苍驳)监(闯颈补苍)会(贬耻颈)起(蚕颈)草(颁补辞)），现(齿颈补苍)向(齿颈补苍驳)社(厂丑别)会(贬耻颈)公(骋辞苍驳)开(碍补颈)征(窜丑别苍驳)求(蚕颈耻)意(驰颈)见(闯颈补苍)。
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