10-11高二下·河北邯郸·阶段练习
1 . 设向量
,求向量
与向量
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661735f770d3124b2dfdbde60d971883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614b003a9f14fed694128f681b2f1d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
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11-12高二上·湖北武汉·期末
2 . 已知向量
,
,若向量
与
的夹角为
,且
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf7aeb7eac229673b0f90f62b696c21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394e3aff4e83ac226b440fec1ec90d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3b9a20c31e397ae1dc8a44baf7de91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc0a8bb3c063c02f3b06172debb2254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8f1051f88bfe1e32a89925425edc92.png)
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11-12高二上·广东·期末
3 . 已知向量
,
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/740710b92f3f3af8f447d1a12799ef81.png)
(1)求
的最小正周期;
(2)若
,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cc98f36071ad0d08466dd18720d582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb55bde5f8bbe08b978d6f4549098b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/740710b92f3f3af8f447d1a12799ef81.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fed570c7b7f72db68bd85de5379e97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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4 . 在直角坐标系
中,以
为圆心的圆与直线
相切.
(Ⅰ)求圆
的方程;
(Ⅱ)如果圆
上存在两点关于直线
对称,求
的值.
(Ⅲ)已知
、
,圆内的动点
满足
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c8c934fb978c8840bed9680408977c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d202fa5d5c7abf2020374eabb93de5.png)
(Ⅰ)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(Ⅱ)如果圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b834b39f1678027631ff6b081f2dc6d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅲ)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd99c5000629d7f49499d666e68f40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c69b8537334543d5eed1819a2f9446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a33e5d0dbdd0f15854f0d7dd8b53058.png)
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10-11高二上·河北唐山·阶段练习
5 . 已知
,且
,
求(1)
;
(2) 若
,求
值.
![](https://img.xkw.com/dksih/QBM/2010/9/18/1569834462986240/1569834468089856/STEM/eb2f8b87efe744b0906201557f86d1f3.png)
![](https://img.xkw.com/dksih/QBM/2010/9/18/1569834462986240/1569834468089856/STEM/57292d1e61414906a203a80c6275c002.png)
求(1)
![](https://img.xkw.com/dksih/QBM/2010/9/18/1569834462986240/1569834468089856/STEM/42ed78c268e540709240cb4500f5a127.png)
(2) 若
![](https://img.xkw.com/dksih/QBM/2010/9/18/1569834462986240/1569834468089856/STEM/ef74c565a38941f483425a0c1a6be3dd.png)
![](https://img.xkw.com/dksih/QBM/2010/9/18/1569834462986240/1569834468089856/STEM/2f35c9c99d3842af8ec4b2fe3493d87f.png)
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9-10高二下·广东深圳·期末
6 . 向量
满足
,
.
(1)求
关于k的解析式
;
(2)请你分别探讨
⊥
和
∥
的可能性,若不可能,请说明理由,若可能,求出k的值;
(3)求
与
夹角的最大值.
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/92ad8411772a4c358b73add9e0968c3d.png)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/fd2f93ad01bc4df29ee1edb81aa2cf6e.png)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/e85d368d670949f8be014370c53d953f.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/ce7ba8de91304461ac54eeae53f57c9f.png)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/e666fb5aabd3411cbdd8138490ccdfdd.png)
(2)请你分别探讨
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/0b62bec46a5445dcbca602bb978c94ba.png)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/c7fa729ae47445079cc105eb33b52b25.png)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/0b62bec46a5445dcbca602bb978c94ba.png)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/c7fa729ae47445079cc105eb33b52b25.png)
(3)求
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/0b62bec46a5445dcbca602bb978c94ba.png)
![](https://img.xkw.com/dksih/QBM/2010/7/8/1569784650629120/1569784655912960/STEM/c7fa729ae47445079cc105eb33b52b25.png)
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2010·河北保定·一模
解题方法
7 . 设函数![](https://img.xkw.com/dksih/QBM/2010/8/20/1569818736173056/1569818741260288/STEM/f2fae7376df04dc5807c82eb3607d052.png)
(1)求
的最小正周期与单调递减区间;
(2)在△ABC中,a、b、c分别是角A、B、C的对边,已知
,△ABC的面积为
的值.
![](https://img.xkw.com/dksih/QBM/2010/8/20/1569818736173056/1569818741260288/STEM/f2fae7376df04dc5807c82eb3607d052.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2010/8/20/1569818736173056/1569818741260288/STEM/78169a8e5f4b47dd919d098d9717c905.png)
(2)在△ABC中,a、b、c分别是角A、B、C的对边,已知
![](https://img.xkw.com/dksih/QBM/2010/8/20/1569818736173056/1569818741260288/STEM/15b4baa8990845d8aed25c261bd11e84.png)
![](https://img.xkw.com/dksih/QBM/2010/8/20/1569818736173056/1569818741260288/STEM/380fd71d73d14c32ad2e6aa4220defef.png)
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