1 . (1)计算:
;
(2)计算:
.
(3)解方程:
;
(4)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba682aee5a7e7bdd83981fa6d8e2b84.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968383a79e6836e98b800750a124d5d4.png)
(3)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219665bb2dc1f5677b18ebcf28a30e47.png)
(4)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f54239ccc38a59b178b7f6eed566a9c.png)
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2 . 图1是一个长为
,宽为
的长方形,沿图中虚线平均分成四个小长方形.然后用四个小长方形拼成一个如图2所示的大正方形.
(2)观察图2,写出
、
、
之间的数量关系.
(3)利用(2)的结论,尝试解决以下问题:
①已知:
,
,求
的值;
②已知:
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fe570ddd875c9158a41091a84b485b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)观察图2,写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631758fe5622770196dbf92c7e22e5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1a37389b1c8f7e0bee08fc830359e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
(3)利用(2)的结论,尝试解决以下问题:
①已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c960fc862fd36db83082f5c50cd604b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a120e118263f6b9fde8054e1a57479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
②已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba8383b1925155befd8a4b5ea90ec0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716e6f1abe6664c490c23640e4bfa6c3.png)
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3 . 求下列各式中x的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96349b4791f51944fa930dd305311f9e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4418e45a85385a62a869e6a1f5f9c47.png)
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4 . (1)计算:
;
(2)计算:
;
(3)解方程:
;
(4)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a129d11a89b632e9720730bd2a44bd.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5abdfe769d0ffdaea12b9a28ac999c.png)
(3)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a42f20a0663ebd41f2c6118c4a9debf.png)
(4)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5dbce5a3bfeb07c99848d57000d638.png)
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5 . 如图,两个边长为2的正方形重叠,重叠部分是边长为a的正方形.若空白部分面积之和为3.5,求a的值.
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6 . 求下列各式中
的值.
(1)
.
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2053e1f50472a9fed67d4c84d9cb938.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387d5b19268248935f4c4f3b818e3f4.png)
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7 . 解方程或方程组
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd82b778228105a66b8e4768d726f3fc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef7dc3439c679e23cf0b4a43ca2ce2f.png)
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名校
8 . (1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f831202cd7f433d57da7d4c519472b9d.png)
(2)
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f831202cd7f433d57da7d4c519472b9d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8cb9e5b695564797c7fdaa58f7e9a8.png)
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9 . 求下列各式中的x:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5f512aa07f7ad0265b2109fbc59502.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e6919b3435a6d4b3f927d3c0798c9d.png)
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10 . (1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb26e286a0a3a29a71323b68dc3dd8d.png)
(2)求等式中x的值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb26e286a0a3a29a71323b68dc3dd8d.png)
(2)求等式中x的值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7a7c60c32d58094dfdb2f3154d29da.png)
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