1 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35c9e19b4ad799a9fc0cf9b4c66a838.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0692e0b37caea4b91f03a606db6b85.png)
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2 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc986113a0d3d45ea9a8e9f541baa350.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bceb36b7048f34371fa986e2432e3ca7.png)
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3 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b912afc3780e9644b916cbdb680d8bc3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a76a2a961b958390569376e42f3ff19.png)
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4 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1448c82d0aca05c7706b92042ff3ac.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c2277dbc00eea65a9580ce23d13a48.png)
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5 . (1)计算:
;
(2)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93320a984e17f1063b43b1f7dcdf2ae1.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0b55c3297ce66c96d1559d76971f4.png)
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6 . 计算下列各式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f44df9795455664b59a49006c55973a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13207d4a34baa478dff41676dfd2db3.png)
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7 . 计算:
(1)
.
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef4046e09f4c1f218b144a718ba25c2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bcf6a46abbaf56bd5695f3f708357c.png)
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8 . 设实数
的整数部分为
,小数部分为
.则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
![](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/4418a8a47fac6b386a462ed6a3cc0e8d.png)
A.![]() | B.1 | C.![]() | D.3 |
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9 . 化简
.下面是小滨、小江两位同学的部分运算过程.
小滨:原式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851867259ae285fb627af846a42ddfc1.png)
小江:原式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8239b8d3a9686d37da1490b4b575967a.png)
(1)小滨解法的依据是___________(填序号);小江解法的依据是___________(填序号).
①等式的基本性质;②分式的基本性质;③乘法交换律;④乘法对加法的分配律.
(2)已知
,先化简题中代数式,再求代数式的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77634a77b79aa3cfed183dc8174bde73.png)
小滨:原式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851867259ae285fb627af846a42ddfc1.png)
小江:原式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8239b8d3a9686d37da1490b4b575967a.png)
(1)小滨解法的依据是___________(填序号);小江解法的依据是___________(填序号).
①等式的基本性质;②分式的基本性质;③乘法交换律;④乘法对加法的分配律.
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb519179aeb8f5c41c97cc24b68526eb.png)
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10 . 已知
中,
,
,
.
,
的值;
(2)并在
的方格纸上画出
,使它的顶点都在方格的顶点上(每个小方格的边长为
);
(3)求
最长边上的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd2614153571e33990950206715e691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7331e76a92ec69d588bfe50e3fd8651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8053dd70209c68d70755ae0c347deea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70ac0cfa5237e36482731e7f4f541dc.png)
(2)并在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fb9d60d456560e9bac66c8b20c49bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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