解题方法
1 . (1)计算:
;
(2)若复数
为纯虚数,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71d9efbda4bd4c2c430c90821de4a0a.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05d311f348d71451d96867dbff0a479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 计算:
(1)
;
(2)
;
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f054199cfd0363854e96e53b4f5d39c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cba343e4f7a2e650b6b3fc30c1cc8d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18ec2d235c1a1ba6c839eee863308a2.png)
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解题方法
3 . (1)化简求值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a82449d11124d3200cbbd494905dd16.png)
(2)已知
为锐角,且满足
求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a82449d11124d3200cbbd494905dd16.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47df179dfe55c58243e05dd59c80ef32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c862093858b9708d3c790d436bc9edda.png)
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解题方法
4 . 已知角
的顶点在坐标原点
,始边与
轴的非负半轴重合,终边经过点
.
(1)求
,
,
的值;
(2)将
的终边按顺时针方向旋转
,此时终边所对应的角为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76b94fa972f92861f2fb70bed2ff9cb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a282d19bf2c827a98d4443330f7ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b69099d2b74ffbb1f365e1468bd8fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9580581381a17a50b30cfccd0c46fab2.png)
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解题方法
5 . 化简求值:
(1)已知
,且
为第四象限的角,求
的值.
(2)已知
,求
的值.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9088e31e00eaa4e95c1e6717b0c82cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef966cdd137b3b10e290201b4d17542e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8548af766a0d43c1c5a93d05028bc911.png)
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6 . 计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc592d15fd2d05e39662193d1ff2273.png)
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解题方法
7 . 已知
,求下列各式的值;
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee41ce496748cacdc9fcda649f5487b8.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19a69f28a088c979f78e82a07252107.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64d7e48f557e25ac36108357479f70.png)
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8 . 已知
.
(1)若
,求
的值;
(2)若
是第三象限角,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1091723aa2c93912b0d57d6b774bf2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08223e107904dade589a99ab517fed18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cb122474dcc2e8977e5a70eee67acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
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9 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8201cec5d37974e8bbfaf959b2a2e965.png)
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8201cec5d37974e8bbfaf959b2a2e965.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c15e6964d720412e802c26eb05c1ae4.png)
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解题方法
10 . 已知
是第三象限角,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e10aa3b20e8f21e7d19b5d5aca3685f.png)
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e10aa3b20e8f21e7d19b5d5aca3685f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed77a5dce1b06476dd157de4866888d.png)
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