名校
1 . 函数
的最小正周期为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1b8537560db7e099f3f58357a2e41f.png)
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2 . 已知扇形的半径为2,圆心角为2弧度,则该扇形的面积为______ .
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3 . 已知向量
,若
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9e0f02549cfed7d17e9e40c1ee08a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
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4 . 已知
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7074b838ae0e823bc469b85b6f73476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3183d32b9c31d5c6b6801f73c2b522de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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5 . 已知
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17413ca9b1286ed354edc6c20ba09a2b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787379f7ff8d24be7eebfea1cfe956d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030a7a7d9b57f46855b70778578eff3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17413ca9b1286ed354edc6c20ba09a2b.png)
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6 . 已知E,F是直角
的外接圆上的两个动点,且
,P为
的边上的动点,若
的最大值为48,则
的面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ffa17323f77f8bd4bfd3e051f5e671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231c8b6343f4fdd9605e5c4f891528db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7 . 已知平面向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5155d4ff2fbef254d632ec03375534db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6690a6b6cbb77c76225dba586d97a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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解题方法
8 . 已知
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254844facd7d30fb5bc2f52610bc5c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ae637ab2db7442c4fafb163c992e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
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9 . 设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705f942e95483f03915220ccac757306.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a7de68aee963a46f8f570e2612ca81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705f942e95483f03915220ccac757306.png)
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10 . 已知
的最大值为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3afddf0af09c9dfc48aa2c87c20556.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345669a1b6a90a2169b26e80b74ffcfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3afddf0af09c9dfc48aa2c87c20556.png)
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