幸运飞艇官方开户

含絕對值不等式的解法 含絕對值的不等式公式

教學目標

(YI)JIAOXUEZHISHIDIAN

幸运飞艇官方开户1.ZHANGWO|x|>aYU|x|<a(a>0)XINGBUDENGSHIDEJIEFA。

幸运飞艇官方开户2.|ax+b|>c YU|ax+b|<c(c>0)XINGBUDENGSHIDEJIEFA。

(ER)NENGLIXUNLIANYAOQIU

幸运飞艇官方开户1.TONGGUOBUDENGSHIDEQIUJIE,JIAQIANGXUESHENGDEYUNSUANNENGLI。

2.TIGAOXUESHENGZAIJIEJUEWENTIZHONGYUNYONGZHENGTIDAIHUANDENENGLI。

教學重點

幸运飞艇官方开户|ax+b|>c YU|ax+b|<c(c>0)XINGBUDENGSHIDEJIEFA。

教學難點

RUHEQUDIAOJUEDUIZHIBUDENGSHIZHONGDEBUDENGSHIFUHAO,JIANGQIZHUANHUACHENGYIHUIJIEDEBUDENGSHI。

授課方式:講授式

教學過程:

JIAOXUEGUOCHENGJISHIJIANFENPEI

ZHU YAO JIAO XUE NEI RONG

JIAOXUEFANGFADEYUNYONG

幸运飞艇官方开户YINRUXINKEJIEDUAN(YUE7FENZHONG)

我們來看第一組問題:(復習鞏固初中知識)

幸运飞艇官方开户1.BUDENGSHIDEJIBENXINGZHIYOUNAXIE?

幸运飞艇官方开户2.JUEDUIZHIDEDINGYIJIQIJIHEYIYISHISHENME?

3.

--_

+

平常吃的罐頭上面總有這樣的標注250克15,這就表示固體物實際重量與所標注數相差不能超過15克,如何表達實際數與所標注數的關系?

ZAIXUESHENGHUIDAWANHOUGEIYUZHUNQUEHUIDAJIQIANGDIAO

JIEDA:

幸运飞艇官方开户(1)BUDENGSHIDEJIBENXINGZHI:

RUOa>b,ZEa+c>b+c

幸运飞艇官方开户RUOa>b QIEc>0ZEac>bc

RUOa>b QIEc<0ZEac<bc

幸运飞艇官方开户ZHEXIESHICHUZHONGXUEGUODENEIRONG,SHIJIEJUEBUDENGSHIDEJICHU,BIXUSHULIANZHANGWO

(2)

aa≥0

-aa<0

絕對值定義|a|={

幸运飞艇官方开户JUEDUIZHIDEDINGYISHIYONGFENLEITAOLUNSIXIANGDINGYIDE,TAKEYIYONGLAIQUDIAOJUEDUIZHIDEFUHAO。

(3)SHISHUaDEJUEDUIZHIBIAOSHIZAISHUZHOUSHANGSUODUIYINGDIANADAOYUANDIANDEJULI。

(4)

x-250≤15

x-250≥-15

對于問題3,依條件列出{

JINERLIYONGJUEDUIZHIDINGYIJIQIJIHEYIYIJIANGQIBIAOSHUCHENG|x-250|≤15,JIYIGEHANJUEDUIZHIDEBUDENGSHI。

幸运飞艇官方开户(RANGXUESHENGTONGGUODUIJIUZHISHIDESIKAOCONGZHONGFAXIANXINWENTI,TONGSHISHIXUESHENGLIJIELILUNHESHIJIDEGUANXI,MINGBAIXUEXIHANJUEDUIZHIDEBUDENGSHIDEJIEFADEBIYAOXING)

YITIWENXINGSHIFUXIJIUZHISHI,YINCHUXINWENTI

XINKEJIAOXUE(YUE25FENZHONG)

我們來看問二題:

幸运飞艇官方开户1.JIEFANGCHENG|x|=2?|x|=2DEJIHEYIYISHISHENME?

2.NENGBIAOSHU|x|>2,|x|<2DEJIHEYIYIMA?QIJIEJISHISHENME?

幸运飞艇官方开户3.QINGSHIZHUGUINACHUYIBANQINGKUANGXIA |x|>a,|x|<a(a>o)DEJIHEYIYIJIJIEJI。

幸运飞艇官方开户MEIDAOTIDOUQINGTONGXUESIKAOZUODA,JIAOSHIZUOZONGJIEBINGGEICHUZHENGQUEDAAN

JIEDA:

幸运飞艇官方开户1.|x|=2DEJIHEYIYISHIDAOYUANDIANDEJULIDENGYU2DEDIAN,JIESHIx=2,-2

幸运飞艇官方开户2.|x|>2DEJIHEYIYISHIDAOYUANDIANDEJULIDAYU2DEDIAN,

幸运飞艇官方开户QIJIEJISHI﹛x|x>2HUOx<-2﹜

幸运飞艇官方开户|x|<2DEJIHEYIYISHIDAOYUANDIANDEJULIXIAOYU2DEDIAN,

QIJIEJISHI﹛x|-2<x<2﹜

3.GENJUSHANGYIWENTIKEDEDAO

|x|>a的幾何意義是到原點的距離大于a的點,

幸运飞艇官方开户QIJIEJISHI﹛x|x>aHUOx<-a﹜

|x|<a幸运飞艇官方开户的幾何意義是到原點的距離小于2的點,

QIJIEJISHI﹛x|-a<x<a﹜

問題三:

1.YISHANGJIELUNZHONGDExNENGFOUYONGDAISHUSHITIHUAN,RU5x+2、3x-1、x-1000DENG?

2.JIEBUDENGSHI|x-6|>0,|x-5|<0

3.NENGFOUGUINA|ax+b|>cYU|ax+b|<c(c>0)XINGBUDENGSHIDEJIEFA?

幸运飞艇官方开户SHANGSHUWENTIXUESHENGNENGGOUCONGDAISHUJIAODULIJIE“x”DAIBIAODAISHUSHI,BINGNENGLIANXIXIATIZHONGDELIZI,LIRU:|ax+b|KEHUANCHENGXIATIZHONGx-6,ZHESHIcJIUHUANCHENG0BUDENGHAOBUBIAN

TIXINGXUESHENGJIEZHUSHUXUEZHONGDEZHENGTIDAIHUAN,JIEBUDENGSHI|x-6|>0,|x-5|<0BINGQIUCHUQIJIEJI

幸运飞艇官方开户JIEXIALAIQINGXUESHENGYOUTESHUDAOYIBANGUINACHU|ax+b|>cYU|ax+b|<c(c>0)XINGBUDENGSHIDEJIEFA。ZUIHOUJIAOSHIJIUZHENGBINGZONGJIEGEICHUZHUNQUEDAAN:

|ax+b|>c(c>0)的解法是:幸运飞艇官方开户先化不等式組ax+b>c 或ax+b<-c,再由不等式的性質求出原不等式的解集。

|ax+b|<c(c>0) 的解法是:先化不等式組 -c<ax+b<c,再由不等式的性質求出原不等式的解集。

例題分析

幸运飞艇官方开户LI1JIEBUDENGSHI|3x-5|≤7

JIE:YOU|3x-5|≤7,(FUHESHANGMIANDIYIZHONGHANJUEDUIZHIDEBUDENGSHI,GENJUQIJIEFA)DE-7≤3x-5≤7

BUDENGSHIGEBIANDOUJIA5,DE

-2≤3 x≤12

BUDENGSHIGEBIANDOUCHUYI3,DE

-2/3≤x≤4

幸运飞艇官方开户SUOYIYUANBUDENGSHIJIEJIWEI{x|-2/3≤x≤4}

LI2JIEBUDENGSHI|2x-3|>4

幸运飞艇官方开户JIE:YOU|2x-3|>4(FUHESHANGMIANDIERZHONGHANJUEDUIZHIDEBUDENGSHI,GENJUQIJIEFA)DE2x-3>4 HUO 2x-3<-4

FENBIEJIEZHI,DE

x>7/2 HUO x<-1/2

SUOYIYUANBUDENGSHIJIEJIWEI{x| x>7/2 HUO x<-1/2}

幸运飞艇官方开户LI3JIEBUDENGSHI|1-2x|<5(ZHAOLIANGMINGXUESHENGSHANGHEIBANZUO)

BENTIYOULIANGZHONGZUOFAKETIXINGXUESHENGFENBIEYONGLIANGZHONGZUOFAZUOCHU

幸运飞艇官方开户JIEFAYI:YOUYUANBUDENGSHIKEDE

幸运飞艇官方开户-5<1-2x<5

YOUBUDENGSHIDEXINGZHIJIEDE

幸运飞艇官方开户-2<x<3

幸运飞艇官方开户SUOYIYUANBUDENGSHIJIEJIWEI{x|-5/2<x<11/2}

幸运飞艇官方开户JIEFAER:YUANBUDENGSHIKEHUACHENG |2x-1|<5

幸运飞艇官方开户-5<2x-1<5

YOUBUDENGSHIDEXINGZHIJIEDE

幸运飞艇官方开户-2<x<3

GEITONGXUEFENXIYISHANGLIANGZHONGZUOFADECHUJIELUN

幸运飞艇官方开户【ZHU】WOMENZAIJIE|ax+b|>cYU|ax+b|<c(c>0)XINGBUDENGSHIDESHIHOU,YIDINGYAOZHUYIaDEZHENGFU。DANGa WEIFUSHUSHI,KEXIANBAa HUACHENGZHENGSHUZAIQIUJIE。

幸运飞艇官方开户LEIBIJIUZHISHI,TICHUXINWENTI,TONGGUOJIAOSHITICHUWENTI、XUESHENGJIEDAWENTIZHUBUBANGZHUXUESHENGTUICHUJIEHANJUEDUIZHIBUDENGSHIDEFANGFABINGQIEGUINACHULAI

TONGGUOQIFAXUESHENG,JINLIANGRANGXUESHENGZIJIGUINACHUJIEFA,DUANLIANXUESHENGDEZONGJIEGAIKUONENGLIBINGJIASHENXUESHENGDUIGAIZHISHIDIANDELIJIE

JIANGJIELITI,TONGGUOZHELIANGDAOLITIDEFENXI,RANGXUESHENGNENGGOUSHUXIBINGZONGJIECHUJIEHANJUEDUIZHIBUDENGSHIDEFANGFABUZOU

含絕對值不等式的解法 含絕對值的不等式公式

KETANGLIANXI

YUE10FEN

KEBEN15YE1、2TI

1、JIEXIALIEBUDENGSHI

(1)|x-4|≤9

JIE:YOUYUANBUDENGSHIKEDE

-9≤x-4≤9

YOUBUDENGSHIDEXINGZHIJIEDE

-5≤x≤13

SUOYIYUANBUDENGSHIJIEJIWEI{x|-5≤x≤13}

幸运飞艇官方开户(2)|3x-3|≥15

JIE:YOUYUANBUDENGSHIKEDE

3x-3≥153x-3≤-15

YOUBUDENGSHIDEXINGZHIJIEDE

x≥6 HUO x≤-4

SUOYIYUANBUDENGSHIJIEJIWEI{x| x≥6 HUO x≤-4}

2.JIEXIALIEBUDENGSHI

(1)2|2x+1|-4≥0

YOUYUANBUDENGSHIKEDE

2x+1≥22x+1≤-2

YOUBUDENGSHIDEXINGZHIJIEDE

幸运飞艇官方开户x≥1/2HUO x≤-3/2

SUOYIYUANBUDENGSHIJIEJIWEI{x| x≥1/2HUO x≤-3/2}

(2)|1-4x|≤2

YOUYUANBUDENGSHIKEDE

-2≤4x-1≤2

YOUBUDENGSHIDEXINGZHIJIEDE

-3/2≤x≤1/4

SUOYIYUANBUDENGSHIJIEJIWEI{x|-3/2≤x≤1/4}

RANGQUANTITONGXUEZAILIANXIBENSHANGZUO,JIAOSHIXUNSHI,BINGQINGJIWEITONGXUESHANGHEIBANZUO,JIANGPUBIANCUNZAIDECUOWUGEIYUJIANGJIE,SHIXUESHENGJINYIBUZHANGWOHANJUEDUIZHIBUDENGSHIDEJIEFA

XIAOJIE

ZUOYE

YUE3FEN

一、課時小結

幸运飞艇官方开户1.JUEDUIZHIDEBUDENGSHIJIEFAGUANJIANSHIXIANGBANFAQUDIAOJUEDUIZHIFUHAO。

幸运飞艇官方开户2.ZHONGDIANYAOLIJIEJUEDUIZHIBUDENGSHIDEJIHEYIYI。

二、課后作業

XITICEDI4YE1,2,3

幸运飞艇官方开户JIAOSHIZONGJIEBINGBUZHIKEHOUZUOYE

  

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