解题方法
1 . 平面向量
,若存在整数
使
,且
,试求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a4521f0658e021ad28318d8db27426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09737e117adb481fd3c4affdf38ff45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245d4ac7e6c91f3ea4028bdeb2fb1a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f92ffd4c85efa2d4a1692459a06cbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bdb686910f213670f2c6f9e46c1f62.png)
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解题方法
2 . 已知
(其中a,b为常数,且
)在
上的最大值和最小值分别为
和
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200dd30171e6c5895abbda91d0e9d195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b172723002461ae60798317e2f10f6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f190b17530d81d927c358ac84757a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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解题方法
3 . 在
中,已知
,以A为中点作长为2a的线段PQ,当
的值最大时,
与
的夹角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc130e4f2499cc620a0df6542d8127b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1954674261703d6c846f956520e90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bad299e2782c072d27e1c54422cc8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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解题方法
4 . 直角坐标系中,曲线
围成的图形的面积是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b4be8be0a986e703df7b0dc3f3401c.png)
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5 . 设向量
.
(1)若
,求
的值;
(2)求
的最小值;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0510ef1fb0c12cfaaa6de62c479f045d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f17e09caa19b707485eeb63c03d4b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fee7e2969987222954a10a03d200c03.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2defd5a8aae63078a68baf77071d37.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f04d44d8e08c76a9f5bc24413cf49b.png)
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6 . 为使
在区间
上至少出现100次最大值,则
的最小值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce08482e06228af09c74c6f8026fa1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.198 | B.199 | C.200 | D.201 |
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7 . 已知向量
不共线,且实数
满足
,则
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2ca2047184f3edda733ce3123082cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a1c81bf870a55b94f0640318f59118.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知奇函数
的定义域为
,且为
上的增函数,
.
(1)求不等式
的解集;
(2)设函数
,
为锐角,求满足条件
的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a28068770a85b88b42321cd71ecd3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e391cf5a502f173dabb76b2a3abbe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316d0f0ccbff34b8d6727afba7eeef49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
9 . 已知向量
,
,函数
.
(1)若
,且
,求
的值;
(2)将
图象上所有的点向右平移
个单位,然后再向下平移1个单位,最后使所有点的纵坐标变为原来的
,得到函数
的图象,求函数
的单增区间,及函数
在
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9834158ab7f2eff2d27710e6df7d488e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b83a702a6cfc601af56ca96b4abf0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc1525aee9019a25cf71dc6054ec1ce.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca1b47ff31f505df95eada1803d6052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff15c70d9c8199dad7a9af1879027f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff0e5c78c04beea4e773185195da30.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff14bdd7f2b48c0ce6ba8696c89fbf68.png)
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名校
解题方法
10 . 已知
,且满足
.
(1)求
的值;
(2)若角
的终边与角
的终边关于y轴对称,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fcc0606aa9ce75269c63af6be62f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c0853d16a34fc8b9776ff1a1f29dea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7aee715ac87a76f7a00996af77481ed.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4e1a0e7c86ad340d097044203cc8df.png)
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