1 . 下列运算正确的是( )
A. ![]() | B. ![]() | C.![]() | D.![]() |
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2024-01-18更新
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74次组卷
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2卷引用:2024年吉林省长春市108中学中考模拟数学试题
2 . 计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010e673558796e66c19bcec72c505959.png)
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3 . 例如:若
,求
的值.
解:因为
,所以
,即
,
又因为
,所以
.
根据上面的解题思路与方法,解决下列问题:
(1)若
,求
的值;
(2)若
,求
的值
(3)如下图,已知正方形
的边长为x,E,F分别是
上的点,且
,长方形
的面积是12,分别以
为边作正方形
和正方形
,求x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19017820d151d46764901fbff6ed2ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
解:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8792eaab0b6464e5d07436c64aa751a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccf55336a61ee88a074afa0557a4a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7353146c3cee4ecb9f21213694315cc.png)
又因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6c334918a51cb6909f85bf1b71a95f.png)
根据上面的解题思路与方法,解决下列问题:
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961d150ed62777763c69fef2ed826bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcccf921013b21e4cf3db9bfd612ab51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9887afb290e8e4381c47e842c0b760.png)
(3)如下图,已知正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac31b9badf70a20d3b7d15f72da16d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d960ec6e35285b6785c53205a6bb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c33132a7eb57dce564b3a2ffc8a202a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3030087b957b0009e01ebf09571db28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771f4c1e5b9893f07329dfbe01fe3aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3ae1a755f3b94a6bbc4181986ceb2d.png)
您最近一年使用:0次
2024-01-16更新
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110次组卷
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3卷引用:吉林省四平市铁西区2020-2021学年八年级上学期期末考试数学试题
4 . 已知
,
,求下列各式的值.
(1)
.
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac32e9abafdf30888c5d16922bbed9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe62c9bf8dac920a989e9b16394c410.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
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2024-01-16更新
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146次组卷
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5卷引用:吉林省长春市朝阳区2023-2024学年九年级上学期期中数学试题
吉林省长春市朝阳区2023-2024学年九年级上学期期中数学试题新疆巴音郭楞蒙古自治州尉犁县第一中学2022-2023学年八年级下学期期末数学试题四川省成都市双流区成都金苹果锦城第一中学2023-2024学年八年级上学期10月月考数学试题(已下线)第十六章 二次根式过关测试卷-2023-2024学年八年级数学下册《知识解读·题型专练》(人教版)江西省上饶市余干县联考2023-2024学年八年级下学期月考数学试题
名校
5 . 先化简,再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515c6dd8e0d0ba1719a359e1d1db27f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ed73d1af6d3a10e48f7cd7dea7c53a.png)
您最近一年使用:0次
2024-01-16更新
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104次组卷
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2卷引用:吉林省长春市朝阳区2023-2024学年八年级上学期期中数学试题
6 . 下列式子①
,②
,③
,④
中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1530214eaefbc1a5e0e1732752497f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d33f26047b5a6f981fa0666249ef93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ea807aebb02a29f5db0678c7685dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e675b62b9157f25652138fac6f9927.png)
A.③ | B.①④ | C.②③ | D.③④ |
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7 . 完全平方公式是同学们比较熟悉的公式.例如:
,
.
(1)若
,
,则
的值为______;
(2)如图①,在正方形
中,点E在边
上,
,
.以
、
为一边在上方分别作正方形
和正方形
,连接
.若
,则阴影部分的面积为______;
(3)如图②,在长方形空地里铺了地砖,地砖有三种,一种是5个相同的黑色小长方形,另两种是两个白色大正方形和两个白色小正方形.已知长方形空地的周长为8.4米,每个小长方形地砖的面积为0.36平方米.设每个小长方形地砖的长为m米,宽为n米.
①
_______;
②求空地中白色地砖的总面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375d440fa0c1da0617388f0fc270542c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e3f2b96b28e665536f63e9f69450cd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289295fad0d1c11fc74470e8bb0c6be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917177a540b592eeeb25174ef26db6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
(2)如图①,在正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce629f210d757b89a726d2ae851f9ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946a20468a54b152c9a65bc128bae21c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978dff4474f8e0132f5595d410fec71f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af8f3dae76d083fe70ae4c04ac5f76fe.png)
(3)如图②,在长方形空地里铺了地砖,地砖有三种,一种是5个相同的黑色小长方形,另两种是两个白色大正方形和两个白色小正方形.已知长方形空地的周长为8.4米,每个小长方形地砖的面积为0.36平方米.设每个小长方形地砖的长为m米,宽为n米.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
②求空地中白色地砖的总面积.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/fcdbd71c-8841-499b-b32b-067c060db3af.png?resizew=333)
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23-24八年级上·吉林白山·期末
8 . 如图,一块直径为
的圆形钢板,从中挖去直径分别为
的两个圆.
的式子来表示剩下钢板的面积;
(2)当
时,剩下的钢板的面积为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac2037827d61b4c3c4c613e1d6c4040.png)
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9 . 先化简,再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60741743cff0a23e9afd43f4e4c3ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
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23-24八年级上·吉林白山·期末
10 . (1)分解因式:
.
(2)计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a02c3f7f9c1cca4896eff71f1c1031.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4e0536ec6d8627cbbbbe95504d3783.png)
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