解题方法
1 . 已知向量
满足
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65aa82ef3ccd07b92895835040b25d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cfe95f520c7b454ceabb2ae9af0a87.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)若
,求
的值;
(2)若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b1f44fdee4134fb55bf73722a67735.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63461019de0e1cc935f4cbad2efe140c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d383133a74f020784da99329bf597736.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd5308f1be49c12a7a8a29a219c1494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
.
(1)若
,求
;
(2)若
,
,
都为锐角,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea9f7848c47a6ac3a1b55fcea429942.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7e3c674336a90a38408bae2ec4c28f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ff741ddf4211f6f20b63220bc8893.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9435dd49ec2c619d84681c290426e7d4.png)
您最近一年使用:0次
2021-11-11更新
|
690次组卷
|
3卷引用:2021年浙江省温州市摇篮杯高一数学竞赛试题
解题方法
4 . 已知三个非零的平面向量
,
,
,满足
,
,
.
(1)若
,且
,求
的值;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffee6e116b805c3e8677530ae95e4db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e0411d830bf0e627c99bc473cad1e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d8f79db7abccfb1be99097b8b19178.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8ed66de4dba65ef7a2b03612185fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f78898b639cbf026b74ecbed742eae7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f20d0c1dc57448d555883da8f1e885f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffc403ded5faedb326b83d5d3f69a30.png)
您最近一年使用:0次
5 . 已知函数
.
(1)若
,求函数
的单调增区间;
(2)若函数
的最大值为
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be06c1217f8dae92def5828e741f56c1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee974117bc7b5bcd0a7a6f9145e688e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
您最近一年使用:0次
2021-11-11更新
|
376次组卷
|
2卷引用:2021年浙江省温州市摇篮杯高一数学竞赛试题
6 . 已知
,
,
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30ca44c34bbbec2dc253920717d613a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0e3b00fe47801afb53ec56706c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df070d604fa3c93f149dacfb5aba7c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知
,满足
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c2710ccbb5ea6f98dd3470cacaf626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f8b9c86cb1d9975a2ffe4bc4629aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48f1903a478c4f25b2a3651b09fb113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983dfab91b61c0617af944397d645ecc.png)
您最近一年使用:0次
名校
9 . 若锐角
满足
,则角
的度数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d041f450946b8bdb0a2c29d23986add0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
名校
10 . 若不等式
,对
恒成立,则
和
分别等于_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a23ecdd038d0f51e5cc8e4f15467066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba8d2141d285c963ec078fe2ce8686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba802d07a031953c822e1e5928a31f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94773f685ff8cbea3c06e02edf9eedb.png)
您最近一年使用:0次