已知a,b互为相反数,c,d互为倒数,m是最大的负整数,求式子
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/609e3119105d2df953b8497edb3c1105.png)
更新时间:2017-10-20 16:54:53
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【推荐1】已知a、b互为倒数,c、d互为相反数,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc51e97939a8966daa015535a801561.png)
.求:
(1)
的值;
(2)
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc51e97939a8966daa015535a801561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b415d6d8b2c53116db1b9efbad179e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375cf10b0e750c397e9c4277cf88ab1d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e868aded3af770e7b73def011f4bbe.png)
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【推荐2】已知
、
互为相反数,
、
互为倒数,
的绝对值是最小的非负整数,求代数式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad8896884bb7f623c1ead3715f15cc7.png)
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/2ad8896884bb7f623c1ead3715f15cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645b8de6ee60424cc5d07788bd4768a0.png)
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【推荐1】我们知道
的几何意义是数轴上表示
的点与原点之间的距离;
的几何意义是数轴上表示2的点与表示1的点之间的距离.
(1)
的几何意义是数轴上表示
的点与表示 的点之间的距离,
的几何意义是数轴上表示
的点与表示 的点之间的距离;
(2)利用绝对值的几何意义求满足等式
的
的值.
(3)请你借助数轴,利用绝对值的几何意义找出所有符合条件的整数
,使得
,这样的整数是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc51e97939a8966daa015535a801561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34daf1b4c14eb77d41bd3624623f3a5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/46f4ba29-9c7f-4a08-9f6f-3633dd685f03.jpg?resizew=258)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33931651893cffc7112c99e608333059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b90f5a50cabc6cad1b36bf25fc6d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)利用绝对值的几何意义求满足等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67975e8db4824072f59a9c8952855c21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)请你借助数轴,利用绝对值的几何意义找出所有符合条件的整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf2486b83f41dc1f44017a9307ad8e8.png)
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【推荐2】已知在纸面上有一数轴(如图),折叠纸面,若数轴上数1表示的点与数
表示的点重合,则数轴上数
表示的点与数2表示的点重合,根据你对例题的理解,解答下列问题:
若数轴上数
表示的点与数0表示的点重合.(根据此情境解决下列问题)
(1)则数轴上数2表示的点与数_______表示的点重合;
(2)若点
在数轴上对应的数为
,且
,并且
两点经折叠后重合,求
点表示的数;
(3)若数轴上
两点之间的距离为2022,并且
两点经折叠后重合,如果
点表示的数比
点表示的数大,则
点表示的数为____,
点表示的数____.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/11/8ded2f14-a947-489d-89bd-f9dd1d51acc8.png?resizew=480)
若数轴上数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
(1)则数轴上数2表示的点与数_______表示的点重合;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3f8e3953d16f9030880a789acaab28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)若数轴上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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【推荐3】阅读材料,回答下列问题:
数轴是学习有理数的一种重要工具,任何有理数都可以用数轴上的点表示,这样能够运用数形结合的方法解决一些问题.例如,两个有理数在数轴上对应的点之间的距离可以用这两个数的差的绝对值表示;
在数轴上,有理数3与1对应的两点之间的距离为
;
在数轴上,有理数5与
对应的两点之间的距离为
;
在数轴上,有理数
与3对应的两点之间的距离为
;
在数轴上,有理数
与
对应的两点之间的距离为
;……
如图1,在数轴上有理数
对应的点为点
,有理数
对应的点为点
,
,
两点之间的距离表示为
或
,记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/2d38a042-b1e3-4d3c-989f-f09819c0a0d5.png?resizew=235)
(1)数轴上有理数
与
对应的两点之间的距离等于________;数轴上有理数
与
对应的两点之间的距离用含
的式子表示为________;若数轴上有理数
与
对应的两点
,
之间的距离
,则
等于________;
(2)如图2,点
,
,
是数轴上的三点,点
表示的数为4,点
表示的数为
,动点
表示的数为
.
①若点
在点
,
之间,则
________;若
,则
________;
②根据阅读材料及上述各题的解答方法,
的最小值等于________.
数轴是学习有理数的一种重要工具,任何有理数都可以用数轴上的点表示,这样能够运用数形结合的方法解决一些问题.例如,两个有理数在数轴上对应的点之间的距离可以用这两个数的差的绝对值表示;
在数轴上,有理数3与1对应的两点之间的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f3a2c1da4845b891e70f59e6f3e3db.png)
在数轴上,有理数5与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af626a8f2eff4f8a4f08242eb0bddc5.png)
在数轴上,有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7527b66df696beef0defb46778d3530d.png)
在数轴上,有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b9a5f1362c12e1ea8f6fc0d9d787ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb6b39cf7d6321f1d735475f1043e31.png)
如图1,在数轴上有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](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/a13880b9454c5942f164d934b1834783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1103ddae6ffaba2b15808c6df09c0248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68892c2c50f286eed3fe83b26c3f2112.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/2d38a042-b1e3-4d3c-989f-f09819c0a0d5.png?resizew=235)
(1)数轴上有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e22e1223baf7cb3d53e668c2449609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01317332a203c898536b1d0459f51d23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](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/b8e27ca8752789a82ffcdb3b1c18cfd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)如图2,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/e69ef2a9-829a-4338-a117-3058ce1f45f7.png?resizew=246)
①若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa42881f317dd0e0a24464eccb2aadc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0518edd9861b3b1fa9a8e96df11e7581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
②根据阅读材料及上述各题的解答方法,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fb56076c991f05bb9df8ca3b9a578a.png)
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【推荐1】已知有理数a、b互为相反数且
,c、d互为倒数,m的绝对值是最小的正整数,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/273f1f49425913e7cefb6f6c4b3dc9d4.png)
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【推荐2】若
互为相反数,
互为倒数,
的绝对值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064d746cc0e74fdc492613641fe3616c.png)
(1)
___________,
___________,
___________.
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63927ad0d12a6e0ad4bec5b90caec48e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064d746cc0e74fdc492613641fe3616c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f56c7629163c5fe76b2c5990d7ac1f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375f2ba84ccee5a498f96fa1f70b9757.png)
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