1 . 设
是方程
的一组解,计算:
(1)
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0086651e05c716cec1ba31cf09f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821dc5767ac7967687426e4b9c46c918.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b859b72b8127df011d0b3032d2c3ff3e.png)
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2024高一·江苏·专题练习
2 . (1)计算:
①
;
②
;
③
.
(2)设向量
,求
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c76c1e1b775839691e627531c0fd93.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea634cb1a493823a1dd8504c79c4483.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560f147abc067c22b8621b1f0000935c.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa891fbfdcae202e785045650cc53bbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9be7bfd030c51afc431c0b91d3e30c.png)
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解题方法
3 . 计算:
(1)
;
(2)求函数
的定义域.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdba66162f1db362d57038d6138fd1a4.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d52400df33b6bf2de776e679ab79fd.png)
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解题方法
4 . 已知
,
.
(1)求m,n的值;
(2)已知角
的终边过点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0edd99e911e0bbf5e44f1c48b0aa9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d89c40f026abdadfe0042c6255d936.png)
(1)求m,n的值;
(2)已知角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21872d8f6a518e0a2993ccf7a795ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6158fb05a77f69a9b77ecfbb90875ecd.png)
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5 . (1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f328740bf24bfa5307d5ba23cfaac1.png)
(2)已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f328740bf24bfa5307d5ba23cfaac1.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d227c4e80e72eb343659193a06daff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e28564e8971ee3cd8deb50d1afab24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629abc79d5be8093ee40ef9f6eb19337.png)
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名校
6 . (1)求值:
.
(2)已知
,化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69dc706705f154f03d723710e6df79d8.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c250590a07c7acdd6101359cc0d0bad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da0965558346ebb1bf35f21a345aff8.png)
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名校
7 . 按要求计算:
(1)分解因式:
;
(2)已知
,求
的值;
(3)
;
(4)已知
,求
的值.
(1)分解因式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfdb71089c581d4a65a944f18fcfc40.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccf1328602bd22b09ca55faa023a3d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac0218b480ef3eeec90ad04bdffb55f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875e9e322ab55609bf86fbc632175bda.png)
(4)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80236b37de6f299b5ff05d1ff29850c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31f3398b18fc1b3285129af356f48e1.png)
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名校
8 . (1)已知
,求
的值;
(2)方程
的两根分别为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7bcf0b714ab49bc299b6d32250121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9d7d2516bf91b3755296175808e0ca.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed86efbf5c4c0036670e7d32e1fccc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef9d2465c4eeb701cba192211248265.png)
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9 . 以下是某同学化简分式
的部分运算过程:
(1)上面的运算过程中第______步出现了错误;
(2)请你写出完整的解答过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537f17e5cb6fbd90bcd369a605c85642.png)
解:原式![]() ![]() ![]() | 解: |
(2)请你写出完整的解答过程.
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10 . 化简:
,
,
,
,
,
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af95b61a7e348dac2ba0e9663288da6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74cd0d356bab546ffd038cabd3ebc34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27404cf78fcd9089ed4aa2a4e8dc436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61edd463546c93e4a58db673fda6095c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d53f57e7721519692bd7dffeb372b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af8342682e2fd493673352623e1a3de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bf573e5f74d884d6ef940b87df0897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addee0167a29fb8b1e0fbee889f87981.png)
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