1 . 在正方形ABCD所在的平面内找一点P,使得
,
,
,
均为等腰三角形,求P的个数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8fe4026f1a0745ab9aa9fe64f0e482.png)
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2 . 四面体ABCD体积为6,
,
,
,求异面直线AD与BC的夹角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bf94a9dc6bb407334c27477ce7f982.png)
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3 . 等差数列
中,
,公差
,
,求最大的正整数n,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9758d7707198a643d1ac091f3dda6eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7cc5929edaef532bab13034333c795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49763402b2f2023f0ba64c37924267d3.png)
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4 . 钝角
面积为
,
,
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.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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6 . (1)计算:
.
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019ed2ce5ab9e901853c4e7d6985e4b5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f8f684537b46195dde4f8f48579fcb.png)
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解题方法
7 . 化简
(1)
;
(2)已知
是第三象限角,化简
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd0a43a89dffefe41bf10c81d6fdf0c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e61123c3d2642a2de5582967f581df.png)
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8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2da04ee023395cd6c3ca15bef206a48.png)
(1)求
的单调递增区间;
(2)求
图象的对称轴方程和对称中心的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2da04ee023395cd6c3ca15bef206a48.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
9 . (1)已知正数
满足
,求
的最小值.
(2)已知正数
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6320fbdc13c4ab88cf8f577cce4001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)已知正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5761cbea43a3b650ae7cafc350941fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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解题方法
10 . 已知
,计算
(1)
;
(2)
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff8e8f399db20c51e878b2b4b134793.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a08a1ffade82fb4a26656af64da60ca5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/617e59c1afb7dc761f5b373bc820ecff.png)
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