名校
解题方法
1 . 设
为两个非零向量
,
的夹角,已知对任意实数
,
的最小值为1,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d916c29cefa8f3529f3c42d8fce4130.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2021-10-14更新
|
924次组卷
|
14卷引用:上海市建平中学2018-2019学年高二上学期期中数学试题
上海市建平中学2018-2019学年高二上学期期中数学试题【市级联考】内蒙古呼和浩特市2019年高三第二次质量普查调研考试理科数学试题人教A版 必杀技 第二章 平面向量 第二章全章训练浙江省温州市十五校联合体2019-2020学年高一下学期期中数学试题(已下线)题型05 求复合向量模及两向量的夹角-2020届秒杀高考数学题型之平面向量(已下线)专题16 平面向量数量积及其应用-十年(2011-2020)高考真题数学分项河北省衡水市衡水中学2019-2020学年高三上学期期中数学(理)试题(已下线)知识点04 常用逻辑用语-2021-2022学年高一数学同步精品课堂讲+例+测(苏教版2019必修第一册)(已下线)专题04 平面向量-十年(2012-2021)高考数学真题分项汇编(浙江专用)(已下线)第9章 平面向量(基础卷)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第二册)(已下线)专题8.4—平面向量—模的最值问题—2022届高三数学一轮复习精讲精练(已下线)专题9.2 向量运算(基础练)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第二册)山西省运城市高中联合体2021-2022学年高一下学期期中联考数学试题(已下线)第6章 平面向量及其应用(单元基础卷)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)
名校
2 . 若点
是曲线
上任意一点,且
,则直线OP的斜率k的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02de95e549ea8274155558d70b968fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4ac2076c1aac22c6aeea8463f8a93a.png)
您最近一年使用:0次
3 . 设方程
的两实根为
,
,且
,求实数
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817588418dd0b04d2602f45bad764a2a.png)
![](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/73ba5d9112b989bab63f88edee61a7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
4 . 已知函数
(
,
)的最大值为正实数,集合
,集合
.
(1)求
和
;
(2)定义
与
的差集:
,设
、
、
设均为整数,且
,
为
取自
的概率,
为
取自
的概率,写出
与
的二组值,使
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125c6487fb368031de8cf60a59149dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc41c4e5ed45fe11dd7378f6e151cd2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadc4c604af6ecbb6ed84229f9c89e35.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c52ffb714f2253dcf6bc2e2fb0edf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb286df19e078a72a92f14304bc52ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7dd155a4307ec586269e5f38fc9cf6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c611ded0447c5c03204e5df4477ce22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7baa085199eb29cb66bde71713c382dd.png)
您最近一年使用:0次
5 . 已知函数
的反函数为
.记
.
(1)求函数
的最小值;
(2)集合
对于任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900b106c2b44b211c60b0ba9c2cf6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be129e2522b7e3217f356c37e941b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29a40c1957ed1fe6800310cb098f71c.png)
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1015df2e4807930964ffe6e8162e1b07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a413d52a4030d59ea38a0b8f1070e61c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
6 . 已知函数
.若
,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0262e61a6e26a49dd2ca83184cdce17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe5853a3e36e55ccf04a974c6df2811.png)
您最近一年使用:0次
名校
7 . 已知函数
.
(1)判断函数
的奇偶性,并说明理由;
(2)设
,问函数
的图像是否关于某直线
成轴对称图形,如果是,求出
的值,如果不是,请说明理由;(可利用真命题:“函数
的图像关于某直线
成轴对称图形”的充要条件为“函数
是偶函数”)
(3)设
,函数
,若函数
与
的图像有且只有一个公共点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd99c285a90fb80baa8788db63549a6.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2359b6792af05a710712d205a690aec.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02f266bd253738e315e84231235f0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3636a504e43a7a09299f28d9f2589e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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8 . 设
为两个非零向量
的夹角,若对任意实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbc0e383606d56ef2259b8f313be926.png)
的最小值为2,则下列说法中正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4eabc306d6c42469104627a1ecd00be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbc0e383606d56ef2259b8f313be926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ff2056c97e78e60d9d72b8e5a209dd.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2019-12-07更新
|
163次组卷
|
2卷引用:上海市延安中学2018-2019学年高二上学期期中数学试题
名校
9 . 已知函数
,
.
(1)讨论函数
的奇偶性;
(2)设函数
,若关于
的不等式
有实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983626943d7d32362f7fb2ddc1cb1f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afadf24941d0a8f97add2e532b9d535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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10 . 若
成等比数列,则函数
的图象与
轴交点的个数是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f821ce21e27a0eca275e8f66933e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次