在平面直角坐标系
中,以
轴的正半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,且
的横坐标分别为
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/d0d02b811bb9c27723442c470a4bcd6e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55643aa196d2828e0c505cb09a23de4.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c14b51ddd6a56d53fbc0a62aff37e73.png)
21-22高一上·浙江宁波·期中 查看更多[2]
更新时间:2021-11-13 12:23:22
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【推荐1】已知角
,
的顶点与原点
重合,始边与
轴的非负半轴重合,点
,
分别在
,
的终边上.
(1)求
的值;
(2)设函数
,求
的最小正周期和单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9985ad1358d0fddcb8bfc99deb95bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4258b2df7c7496adf889300faf969699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b16ff071606ad63d53a6674db9d6f3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304cc76128cb1404bb0fd2da2ac6282.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf1a3d7231858c257b39db9d07eed64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解答题-计算题
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解题方法
【推荐1】求值:
(1)lg 500+lg
-
lg 64+50(lg 2+lg 5)2;
(2)
.
(1)lg 500+lg
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a4c25fa7b7754fc55548e2497a9d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab1196a451954f745340f242af817fe.png)
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【推荐2】已知函数
图象上相邻的两个最高点之间的距离为
.
(1)求
的单调增区间;
(2)是否存在两个不同的实数
,
,使得点
,
关于
的对称点都在函数
的图象上,若存在,请求出实数a的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dd50055dde2733d9d085953df1825d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)是否存在两个不同的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b485678dfef0b8edbe04f303ecba8cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/883d4be9bfd8ac7757be18af02e1af6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec30fbcf3d36d769445a01506b650c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e60b49815c5c25b48e6c74d7077851a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6e23c1fefddb55d8443f68aaff56af.png)
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解题方法
【推荐1】已知向量
,
.
(1)求
的最小值,并求此时
的取值集合;
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的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b6f1fffa2a122454ae5485d6d47e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08dcd870646eda891959e1a686b8bcb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)设锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bf53bd8c536a312e3a14b9c723e57f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.png)
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【推荐2】证明下列恒等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d901e1ba5f81ca2c88a5b05245cc3335.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b994f3375c464be3ee3ac72db289f500.png)
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