1 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a498e8324fc0759b8e5a0f8b7417623d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf315f973a3f8f0cd0c8c473931d0bc.png)
您最近一年使用:0次
2 . 分解因式
的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03653160873dab28d7dffd6e7997b95.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 下列不能用平方差公式运算的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-05-25更新
|
86次组卷
|
2卷引用:江苏省无锡市锡山区锡东片2023-2024学年七年级下学期期中考试数学试题
4 . (1)计算:
;
(2)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7de38aa79c7a5cebc87cbad860d4b4.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd24a254b71cd4fcbca0fe2913ca939f.png)
您最近一年使用:0次
5 . 如果一个正整数能表示为两个连续偶数的平方差,那么称这个正整数为“神秘数”,如:
,
,
,因此4、12、20 都是“神秘数”.
(1)请说明36是否为“神秘数”;
(2)你能说明“神秘数”一定是4的倍数吗?若能,请说明理由,若不能,请举一个反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8356b858e36e263196abfe717cb5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d32f612592f0ec8499a2a74807f6f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e834429fa22b6511cfbcee77b8a06d10.png)
(1)请说明36是否为“神秘数”;
(2)你能说明“神秘数”一定是4的倍数吗?若能,请说明理由,若不能,请举一个反例.
您最近一年使用:0次
6 . 计算:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410ba12a573f30bddce9a73886ff77b3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862a639b2cd93a9145ffc850891a42ed.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5142f72b6dd6dcd56a370cac983475.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70488c259c63ff6add89eb691f28c38b.png)
您最近一年使用:0次
7 . 如果
能运用平方差公式进行计算,那么m、n满足的条件可能是( )
①
;②
;③
;④
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b73538a833e84268d52411060b1907.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be741ec48fdf8b53cea64a142819a5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73230e1d5cbb9e53e35d1d3eafeb5d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88798ac45ad76cc4bcc310711aabdcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5b28028ea0f4d462cf4edd7ba80689.png)
A.①② | B.②③ | C.①④ | D.③④ |
您最近一年使用:0次
8 . 先化简,再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca3db10045e24cf57c0c84678bc0943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70d392612a67b33ec67cda42b77ce30.png)
您最近一年使用:0次
9 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8246a4502655a9c59d0e3d8b48065138.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d28a8d3fd8f32c2b7e6b66c7c7fcf9.png)
您最近一年使用:0次
10 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6748b7d603feeaf579b480edaa204572.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6748b7d603feeaf579b480edaa204572.png)
您最近一年使用:0次