解题方法
1 . 在平面直角坐标系
中,以
轴为始边作两个锐角
,它们的终边分别与单位圆相交于
两点,若
两点横坐标分别为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc48d2794eca0d86e94cd4fa6567a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3c175632b88ffa1c28518cf2596061.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/6550c637-5d80-47e6-8fdb-45da96691801.png?resizew=143)
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名校
2 . 已知函数
.
(1)求函数
在
时的值域;
(2)设
是第一象限角,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993613fc769142a2ccab75abd3e9da48.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e12cadc6e1a7797084d8d96933e7572.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f5d87ab41cd1938049a2a7740049d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a203c63fe8774d768d354e12fc55845.png)
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3 . 求下列函数的最小正周期:
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ba7af874aeea426b0b902b3f88d99a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b63a2d93eb99d380732d3995e97d7e3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf112a52145e27950aacd0fd7af1dea8.png)
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4 . 已知点
在圆
上,则函数
的最小正周期和最小值分别为
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571966936743936/1571966942396416/STEM/d2e817847f594a9589d75afd27402d1c.png?resizew=12)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c6772c69a1d345fb622a2160063dda.png)
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571966936743936/1571966942396416/STEM/d2e817847f594a9589d75afd27402d1c.png?resizew=12)
A.![]() | B.![]() | C.![]() | D.![]() |
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10-11高二下·广东佛山·期末
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ee704434d113a52c72ce9d3a860b3.png)
(1) 求函数
的最小正周期;
(2) 当
时,求函数f(x) 的最大值与最小值及相应的
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ee704434d113a52c72ce9d3a860b3.png)
(1) 求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2) 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b63a87545fb8a1913ad16e376d42bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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6 . 已知函数
.那么函数
的最小正周期为_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c83dc1bf531cb6429bc742678a2725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2010高三·江苏南通·专题练习
解题方法
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37bd8a014a6926ef7d2f6cafbd11c652.png)
(1)当
时,求函数
的最小正周期;
(2)当
∥
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37bd8a014a6926ef7d2f6cafbd11c652.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2010/6/18/1569762869387264/1569762874720256/STEM/46bd621401b647fcb1a3f0baf678be3e.png?resizew=92)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ebb90400c18a24c3a840724bad923c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8fa1cb71ff238bc22531d883b4f407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72f3acce86797805769ec33a26ddda9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
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13-14高二下·浙江温州·期末
8 . 已知函数
为奇函数,且
,其中
,
.
(1)求
,
的值;
(2)若
,
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a89455094e7b65ca4c1a1a418a757fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c7863f0f24a62b0e2b881610029ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc8ef902dc3481ae24d888f57466154.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a472dc75b3108037d7b98cbd01217a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd72ace77227c55a8c50a04c3ff43095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/653a267a97c349e24015271fa3acb23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8c732eae13c1aa87422b57917c143a.png)
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