1 . 【教材呈现】如图是苏科版七年级上册数学教材82页的部分内容.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/21/0ec10f58-5947-4df8-85df-cc367fa34d87.png?resizew=531)
“整体思想”是数学解题中一种非常重要的数学思想方法,它在多项式的化简与求值中应用极为广泛.
(1)【问题解决】对议一议中的式子进行化简求值,并写出过程;
(2)【简单应用】
①已知
,则
;
②已知
,求
的值;
(3)【拓展提高】已知
且
,求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/21/0ec10f58-5947-4df8-85df-cc367fa34d87.png?resizew=531)
“整体思想”是数学解题中一种非常重要的数学思想方法,它在多项式的化简与求值中应用极为广泛.
(1)【问题解决】对议一议中的式子进行化简求值,并写出过程;
(2)【简单应用】
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5aae0e742a116103af33de3130136a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0390345bd552df580a1e79fd1685d6d6.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a73df07707adc31937d56400815794d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c838eb9fcd6a78a46ae20f6c75e23868.png)
(3)【拓展提高】已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962b58f6e56b0bdd3d356b016a16760b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ac7685e22da46ca1369eb69ed1008d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
2 . 解方程:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89adc35055477d2af12813ee74a7b5f4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5825685d7424e3982315558dc1ecb483.png)
您最近一年使用:0次
2023七年级上·全国·专题练习
3 . 一位同学在解方程
时,把“( )”处的数字看错了,解得
,这位同学把“( )”处的数字看成了( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1317e41da4c41f494cb70e3caec544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b5aa612146904d7f1c801e51773fb1.png)
A.3 | B.![]() | C.![]() | D.8 |
您最近一年使用:0次
4 . 已知关于
的方程
的解为
.
(1)求
的值;
(2)求代数式
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49a8d4173b8f6ab82ad7cced47a014b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5514169041951f6210aaae732cef4f98.png)
您最近一年使用:0次
名校
5 . 如图是一个正方体的展开图,其中只有四个面标有式子或字母,将这个展开图折成正方体后,相对面上的式子相等,求A的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/25/8ebbedf5-b11d-4b41-b96a-eae8ea9b3427.png?resizew=153)
您最近一年使用:0次
2023七年级上·全国·专题练习
6 . 解下列方程:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e2434593d6fa0353add91044b97d02.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae22341cf183356c1acbf52d4721e09.png)
您最近一年使用:0次
7 . 解方程:
(1)
.
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a7a1dda5c8a0b2586fc4a56effe876.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e4089793898f73467a705cebe4974f.png)
您最近一年使用:0次
8 . 对于两个不相等的有理数a,b,我们规定符号
表示a,b两数中较大的数,例如
.按照这个规定,方程
的解为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9d48e670be1ddbfee3738824a7eccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8b23151bfddc70dd83cb214f621a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bca78bcd2b1c8d6cf013d3ee3d25a0c.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
您最近一年使用:0次
9 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775a777a0b7ea99ced2cf20e5c6fed11.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775a777a0b7ea99ced2cf20e5c6fed11.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6809d78dc8d364d48137d9e77a16f109.png)
您最近一年使用:0次
10 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54299c738c0047fb734c61d70ffec621.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d273d225b612afa766d997b8ec73c5.png)
(3)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54299c738c0047fb734c61d70ffec621.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d273d225b612afa766d997b8ec73c5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f056d6eb5f0fb9ce1b64dedc5705119f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839a71a25887a9d38b3a6cc2b47aedab.png)
您最近一年使用:0次