已知:
与
互为相反数,
与
互为倒数,
的绝对值为2,求
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/af40893c85512095edbebcbf5896ca3a.png)
更新时间:2019-10-24 19:39:26
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【推荐1】已知a、b互为相反数,c、d互为倒数,x的绝对值为3,求a+b+
﹣2cd.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
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【推荐2】已知a,b互为相反数,m,n互为倒数,x到2的距离是3,求代数式
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf9ffa4420893162cdb6e0fa50c627a.png)
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【推荐1】数轴上表示数
的点与原点的距离叫做数
的绝对值,记作
.数轴上表示数
的点与表示数
的点的距离记作
,如
表示数轴上表示数3的点与表示数5的点的距离,
表示数轴上表示数3的点与表示数-5的点的距离,
表示数轴上表示数
的点与表示数3的点的距离.
![](https://img.xkw.com/dksih/QBM/2020/1/26/2385418885791744/2386274523201536/STEM/756f005ed0a84f8494859923495db408.png?resizew=273)
根据以上材料回答下列问题:(将结果直接填写在答题卡相应位置,不写过程)
(1)若
,则
________,若
,则
___________;
(2)若
,则
能取到的最小值是_________,最大值是_________;
(3)关于
的式子
的取值范围是_________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f50db7df4039c3fb42c49ea377228c2.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/8a493850638eef5019f51f458a780d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2599cf04d7336d86620e7b740f761490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b89eff435c3bb457cb31a65406d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04de675151d2720b1b42bae8c54286d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/2020/1/26/2385418885791744/2386274523201536/STEM/756f005ed0a84f8494859923495db408.png?resizew=273)
根据以上材料回答下列问题:(将结果直接填写在答题卡相应位置,不写过程)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c4cff8819cbe403807b1e15b738beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334374b71c986bb67c7be70f11f17a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0118e6cc914a99e280a927699b437da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e10b7fe66e047c9d9eb30b7a9a88e49.png)
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【推荐2】若用
、
、
分别为有理数a、b、c,O为原点.如图所示,已知
,
,化简
.
![](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/82cfa67eb4998b8b8d08fe4b21f1be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c990a47fdf1b59e8d8206afb2422a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/5ace462f-3491-4161-875e-527ce7c539bc.png?resizew=245)
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【推荐1】已知
,
互为相反数,且
,c,d互为倒数,x的绝对值为
,求
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/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9862c3f79df375b515dc9f707c763444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf4b47deb58e4d80df7cad98c4942c5.png)
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【推荐2】如图,数轴上点
表示的数为
,点A在数轴上向左平移3个单位到达点B,点B表示的数为m.
![](https://img.xkw.com/dksih/QBM/2018/3/14/1902176342384640/1906420906328064/STEM/f44232ef916d4322aca2cacca723108b.png?resizew=235)
(1) 求m的值. (2) 化简:
.
![](https://img.xkw.com/dksih/QBM/2018/3/14/1902176342384640/1906420906328064/STEM/2b718c806e6b4d998a7d1e6e91422717.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8507ce1e0351d8fd4f477cf5da760e0b.png)
![](https://img.xkw.com/dksih/QBM/2018/3/14/1902176342384640/1906420906328064/STEM/f44232ef916d4322aca2cacca723108b.png?resizew=235)
(1) 求m的值. (2) 化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76dba1df088f271c8fa8a98d9689b77b.png)
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【推荐1】(1)已知多项式A,B,计算A﹣B.某同学做此题时误将A﹣B看成了A+B,求得其结果为A+B=3m2﹣2m﹣5,若B=2m2﹣3m﹣2,请你帮助他求得正确答案.
(2)已知a、b互为相反数,c、d互为倒数,m的绝对值是5,n是最大的负整数,求代数式2021(a+b)﹣4cd+2mn的值.
(2)已知a、b互为相反数,c、d互为倒数,m的绝对值是5,n是最大的负整数,求代数式2021(a+b)﹣4cd+2mn的值.
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【推荐2】先阅读材料,再求解.
若x是不等于1的实数,我们把
称为x的差倒数,如2的差倒数是
1,﹣1的差倒数为
,现已知x1=
,x2是x1的差倒数,x3是x2的差倒数,x4是x3的差倒数,…,依此类推……;
(1)x2= ,x3= ,x4= ;
(2)求x100的值;
(3)求x2021的值.
若x是不等于1的实数,我们把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ccc91de52641ad13f3ba1711e8b5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f765f8c8c1bda2f232eb350a9378013a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ef59fb25c9976e48dfd03d72699d08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)x2= ,x3= ,x4= ;
(2)求x100的值;
(3)求x2021的值.
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