数学老师在如图所示的木板上写了两个式子,若这两个式子的值互为相反数,求a的值.
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e990a7ac3831c3696c13dbf80182d96a.png)
②
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e990a7ac3831c3696c13dbf80182d96a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bc7307f38f8023d6fc6287d189c33e.png)
更新时间:2024-01-13 16:34:27
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解答题-计算题
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【推荐1】如图是一个几何体的表面展开图.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/bf647021-bbed-4a2b-bea3-4f14a31b01db.png?resizew=252)
(1)该几何体的名称是__________;
(2)将该展开图还原成几何体,若相对的两个面上的数互为相反数,求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/bf647021-bbed-4a2b-bea3-4f14a31b01db.png?resizew=252)
(1)该几何体的名称是__________;
(2)将该展开图还原成几何体,若相对的两个面上的数互为相反数,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a900a96aa628ce718ddbad524fbf78dc.png)
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【推荐2】(1)已知:
的倒数为a,3的相反数为b,
的2022次方为c,则
,
,
;
(2)将(1)中求出的每个数表示在数轴上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/ea764100-fd6f-46b3-b036-0a4dd868ae82.png?resizew=291)
(3)用“
”把a,b,c连接起来.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
(2)将(1)中求出的每个数表示在数轴上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/ea764100-fd6f-46b3-b036-0a4dd868ae82.png?resizew=291)
(3)用“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
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名校
【推荐1】我们知道
时,
也成立,若将
看成
的立方根,
看成
的立方根,我们能否得出这样的结论:若两个数的立方根互为相反数,则这两个数也互为相反数.
(1)试举一个例子来判断上述结论是否成立;
(2)若
与
互为相反数,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9cdea1e995c59e5d3225acad8b4d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfb5689f4c196b2d04bc18ca4a43f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b367f647833446cf684c3ddedb1592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f22f54a613a0e4889f1514656c4d22c.png)
(1)试举一个例子来判断上述结论是否成立;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83445bf6628c5142faefa28c5a863f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a87e62389420cc8b4a9c70f9638267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f6fedaa2053c8ab807f6b5bc7f965f.png)
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名校
【推荐2】对于有理数a、b定义一种新运算“
”,规定a
b=|a|+|b|﹣|a﹣b|.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/832f3b58-0729-4b3f-b92b-b546ef5a82a2.png?resizew=279)
(1)计算2
3的值;
(2)当a、b在数轴上的位置如图所示时,化简a
b;
(3)已知a<0,a
a=12+a,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/832f3b58-0729-4b3f-b92b-b546ef5a82a2.png?resizew=279)
(1)计算2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
(2)当a、b在数轴上的位置如图所示时,化简a
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
(3)已知a<0,a
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
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