学习了绝对值的概念后,我们可以认为:一个非负数的绝对值等于它本身,负数的绝对值等于它的相反数,即当
时,
,根据以上阅读完成下面的问题:
(1)
;
(2)如果有理数
,则
;
(3)请利用你探究的结论计算下面式子:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c7315f50580eb01d36459586f6c257.png)
(4)如图,数轴上有a、b、c三点,化简
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be129d154a07c41156314073ebaab35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeaa08f3c7e29b4d99bd485573c31a53.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0ffb7b61e80f3bb87e79b02616dd74.png)
(2)如果有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631725d8efe69ee7297f2aaf747361f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ebded98f4ecddb7005c1b08c19ff99.png)
(3)请利用你探究的结论计算下面式子:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c7315f50580eb01d36459586f6c257.png)
(4)如图,数轴上有a、b、c三点,化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effd6255e4faabf70a01fb17466b5aa6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/fb0274e0-29a8-4e67-8ecb-06a8596becee.png?resizew=221)
更新时间:2023-11-27 11:08:14
|
相似题推荐
解答题-计算题
|
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【推荐1】已知
在数轴上的位置如下图,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/a3d9c7c1-5f12-4f22-936c-14750f69e366.png?resizew=294)
(1)
0,
0,
0(请用“
”,“
”填空);
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be3236e827bda70d8b8b5d161c6c035.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/a3d9c7c1-5f12-4f22-936c-14750f69e366.png?resizew=294)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2d7ddd7ef3b6cde30018bc6a84b9e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1176ec378d071e8972ffaa3f944952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa17a39f52e09981729af4439ca535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f860e28db03135c4afde1943c9283bc2.png)
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【推荐2】有理数
、
、
在数轴上的位置如图:
”或“
”号).①
______
;②
______
;③
______
;
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31db3ba331bea0ffb87ff44ab40d9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dc4796a88a100f1304960d8a7464e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db8d3facff8f90f28a936fc5b3ab878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cfdc883779bcdf35d6f6dcac20bf283.png)
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解答题-问答题
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【推荐1】已知
、
互为相反数,
、
互为倒数,
的绝对值为1,
是数轴到原点距离为1的负数,那么
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e1ddcb134e014522cc405536a34e66.png)
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名校
【推荐2】已知:数轴上有理数
所表示的点到1所表示的点的距离为2个单位长度,
,
互为相反数,且均不为0,
,
互为倒数.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e813241c006d8b02fd3bd1403a0d04ec.png)
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解答题-作图题
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【推荐1】画出数轴,在数轴上表示下列有理数,再用“
”把它们连起来.
,
,
,
,0
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c993d45824d89d69591423c63cc5c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0763a1e495b393c6073403aa2abfa5d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108a81af215366910de7c2c93c8c0c53.png)
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【推荐2】如图,数轴上的三个点A,B,C分别表示实数a,b,c.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/8adadc70-e382-4b99-b0c3-cf28bf5dab73.png?resizew=164)
(1)如果点C是
的中点,那么a,b,c之间的数量关系是________;
(2)比较
与
的大小,并说明理由;
(3)化简:
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/8adadc70-e382-4b99-b0c3-cf28bf5dab73.png?resizew=164)
(1)如果点C是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec5a39869e339d97ac8745e626f5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c51d6e2118f7bccf70476e971f0c18.png)
(3)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822a600ad1e0216cd7fb0f2cb9f9025b.png)
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解答题-计算题
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【推荐1】计算:
(1)5a2-2ab+4b2+ab-2a2-7ab-4b2;
(2)-3(x+2y)-4(3 x-4y)+2(x-5y);
(3)2(2a2b-ab2)-[3(a2b-4ab2)-(ab2-a2b)].
(1)5a2-2ab+4b2+ab-2a2-7ab-4b2;
(2)-3(x+2y)-4(3 x-4y)+2(x-5y);
(3)2(2a2b-ab2)-[3(a2b-4ab2)-(ab2-a2b)].
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