1 . 已知向量
满足
,若
,则
的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae75091208abbb1625593fbf36dfc84f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071e5872a9a60713cc18ef8d46458c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed041e2984bd9748d0c0d16ba1e9084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e1e700ae27f723491fa02af1b4498.png)
A.![]() | B.![]() | C.1 | D.2 |
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解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6874df6a7fe17637df3f4fe37b03529.png)
(1)求
的最小正周期和单调递增区间;
(2)若函数
为偶函数,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6874df6a7fe17637df3f4fe37b03529.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4eb86d2e8aa6e39ad710f7b8d74415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8d40e257f9c446b8e30fa841b74bbd.png)
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名校
3 . 已知
,且
,则![](https://img.xkw.com/dksih/QBM/2016/4/7/1572572223324160/1572572228935680/STEM/3d6114bdd8344dde84c0009b1a74db76.png?resizew=49)
_____ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a2614798e18be77cd8bbf4145a6e27.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d2cb478096dd83636af74f36c08d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796553dee0ee24f0e64d2f4a0c4634d5.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572572223324160/1572572228935680/STEM/3d6114bdd8344dde84c0009b1a74db76.png?resizew=49)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a2614798e18be77cd8bbf4145a6e27.png)
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2卷引用:2016届浙江省杭州高中高三上学期月考三理科数学试卷
2013·天津·一模
名校
4 . 定义行列式运算
.将函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
的图象向左平移
个单位得函数
的图象,则
的图象的一个对称中心为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9a4b8d9a70cdfbcc1b686baa1129e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42359c7853a394a2c759f1da774e817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ecc1c16f2874ef4b7e0d6aed9db0b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9卷引用:2016届浙江省临海市台州中学高三上第三次统练文科数学试卷
5 . 若函数
的图象可由函数
的图象向右平移
个单位长度变换得到,则
的解析式是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3491fe6d666a09420fc23bd739d66f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ecc1c16f2874ef4b7e0d6aed9db0b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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3卷引用:浙江省嘉兴市2017届高三上学期基础测试数学试题
6 . 设向量
,
,
,
,
,若
,则
的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4926b815442f8ac7ae7a8096493b9b60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e07532207e7367620aa795fdddd0b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17837c999b38ec15fbd4ab6490890f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8074550a833944a84f4f0dabe8fd81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a32a090bc3ff8e2e53407c2ae4084cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61531afe5800afa89018691b90b3759.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:浙江省2016年10月普通高中学业水平考试数学试题1
7 . 在
中,
,
,设
交于点
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4cb6ae73125fb2f60e25aea935c5bf.png)
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb3850433cc01d82059a66f5e8bc4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bbe24ec76637172b209b84f59195686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ca4c94b0eca19242a0de1005dda885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7525097e18f5354125282528088574c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4cb6ae73125fb2f60e25aea935c5bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f29c54468c6c27f35feefea1a38aecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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解题方法
8 . 已知函数
的最小正周期为
,为了得到函数
的图象,只要将
的图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017d9f60647c8448399f63914e361312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d5adfe85535b699655d5ed2f3322d8.png)
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572968318009344/1572968323653632/STEM/10f1da1d3b12406cb86a82fbb24bbe2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
A.向左平移![]() | B.向右平移![]() |
C.向左平移![]() | D.向右平移![]() |
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名校
9 . 函数
的图象如图所示,则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
_________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac09c8d6b33b4be42575df525ca3d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573060522598400/1573060528447488/STEM/d7d42bc6-16b1-4001-a9c1-d91f3b4c177b.png?resizew=204)
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10 . 已知
,且
.
(Ⅰ)求
的值;
(Ⅱ)求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2e4f3dcd39086dedb14208d6b6650f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75c647770bb61cc5972ea01474de1c8.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3240eadb36759c2566c1eb8b7c97c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5599dce99765810b77145af8b39f93.png)
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