已知数x、y在数轴上对应点如图所示:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/812c11c6-aa80-4da1-b38b-c2ab6729619f.png?resizew=236)
(1)在数轴上画出表示-x的点;
(2)试把x、y、0、-x、这四个数从小到大用“<”号连接;
(3)若y2=5,化简:|x+y|-|y+2|-|y+3|.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/812c11c6-aa80-4da1-b38b-c2ab6729619f.png?resizew=236)
(1)在数轴上画出表示-x的点;
(2)试把x、y、0、-x、这四个数从小到大用“<”号连接;
(3)若y2=5,化简:|x+y|-|y+2|-|y+3|.
更新时间:2021-11-10 10:33:49
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【推荐1】在数轴上表示下列各数,并用“<”连接.
3, 0,
.
3, 0,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8df3a46a5ecd8d1b3db31ec9b69071.png)
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【推荐2】请画出一条数轴,把
,
,4,3在数轴上表示出来,并用“<”号连接起来
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74eb8a7738402df52d4a97262b85ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29418e5014731850c55565b6bf47aa41.png)
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【推荐1】有理数a、b、c在数轴上对应点的位置如图所示,化简:
-
-
-|a-c|.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ab953fef2bd00edd74af817a18b563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ca25a1543476c51e8fc65b8bb61f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dee15988a1fbb1d6538eaaf2ea5e1d0.png)
![](https://img.xkw.com/dksih/QBM/2019/11/8/2329386337091584/2329533127655424/STEM/365c9092b4ba42d987c177445d474d05.png?resizew=233)
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【推荐2】已知有理数a,b,c在数轴上的位置如图所示:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/146c88c3-7b16-4468-a486-f12b1b22fcd3.png?resizew=237)
(1)用<,>,=填空:
_____0,
_____0,
_____0,
____0;
(2)化简:
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/146c88c3-7b16-4468-a486-f12b1b22fcd3.png?resizew=237)
(1)用<,>,=填空:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce22731a412796fe2925e01f765d5976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa17a39f52e09981729af4439ca535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2d7ddd7ef3b6cde30018bc6a84b9e0.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451a9384464d701d3402ddc2d6103a4e.png)
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【推荐1】如图所示,点
、
在数轴上,点
表示
,点
表示
,点
表示
.
(1)点
表示的数为_______,点
表示的数为_____;
(2)在数轴上标出点
,点
,点
,并按从小到大的顺序用“
”连接这五个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49521107780dfad3310312a198c88ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd890d23b325b9440ebfae2c0ff9b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc875a6ccf67b7c2f0bf4baadbdbb918.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/61ac5511-9567-4b6b-a457-3dd27ddf14d6.png?resizew=247)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)在数轴上标出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
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【推荐2】在数轴上画出表示下列各数以及它们的相反数的点:
-4,0.5,3.
-4,0.5,3.
![](https://img.xkw.com/dksih/QBM/2017/10/9/1791711795363840/1792222627323904/STEM/5ee08e4e67514a74ac9ad6303e6510ea.png?resizew=544)
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【推荐2】先阅读下面是的解题过程,然后回答下列问题.
例:解绝对值方程:
.
解:分情况讨论:①当
时,原方程可化为
,解得
;
②当
时,原方程可化为
,解得
.
所以原方程的解为
或
.
根据材料,解下列绝对值方程:
(1)理解应用:
;
(2)拓展应用:不等式
的解集为______.
例:解绝对值方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b47e162a9831da88f272305cdc89d3.png)
解:分情况讨论:①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589586c5c93415eb0a07a86835de43dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fac9575a5985527e283f7295fdaf72c.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d949c6cacbaa3209157dab74902f7ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ad96a0492c77ae833043352654a98b.png)
所以原方程的解为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fac9575a5985527e283f7295fdaf72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ad96a0492c77ae833043352654a98b.png)
根据材料,解下列绝对值方程:
(1)理解应用:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdcc62e5fc90644965d06fd3a9f19e10.png)
(2)拓展应用:不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd1f614e167bc029757a01b2560c668.png)
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