名校
解题方法
1 . 已知函数
的图象如图所示,点B,D,F为
与x轴的交点,点C,E分别为
的最高点和最低点,而函数
在
处取得最小值.
(2)若
,求向量
与向量
夹角的余弦值;
(3)若点P为
函数图象上的动点,当点P在C,E之间运动时,
恒成立,求A的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24bd9c8ee071a15856f11905eb61c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab12359ab934c34ef538d26ba946001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f610645d18735fd3554cbd784d6ebc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030dc33149ae86b07e6d913b7b3df078.png)
(3)若点P为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c1ad29ca45a2cb1d86f41d597a8d29.png)
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2024-04-02更新
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505次组卷
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3卷引用:重庆市第十一中学2023-2024学年高一下学期3月月考数学试题
名校
2 . 若
,
,平面内一点P,满足
,
的最大值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd98a41e273bf640e0d567365fd20077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01d336ae111db04733ac3e96b7ff7ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb0377a886e13e9c40f9b20b689ae36.png)
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2024-04-01更新
|
926次组卷
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3卷引用:重庆市第一中学校2023-2024学年高一下学期3月月考数学试题
3 . 已知函数
,把函数
的图像先向右平移
个单位长度,再向下平移
个单位,得到函数
的图像.
(1)求
的单调递增区间及对称轴方程;
(2)当
时,若方程
恰好有两个不同的根
,求
的取值范围及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b763cf38bc43fa58a1c66346211b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bb8c5d033f6b4adb7bec60d6386c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d873ccbd26127bb543951eff8af9337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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2024-04-01更新
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638次组卷
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3卷引用:重庆市杨家坪中学2023-2024学年高一下学期3月月考数学试卷
重庆市杨家坪中学2023-2024学年高一下学期3月月考数学试卷湖南省常德市汉寿县第一中学2023-2024学年高一下学期3月月考数学试题(已下线)专题02 三角函数的图象与性质-期末考点大串讲(人教B版2019必修第三册)
名校
4 .
中,
,点
是
内切圆
上一点,且
,则
的最小值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4290bd7630dd33c70f0defb7cb7d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5809d9a7a9f5d1a42d8160a84e7a8293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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5 . 已知函数
.
(1)求方程
在
上的解集;
(2)设函数
;
(i)证明:
有且只有一个零点;
(ii)记函数
的零点为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd8331d5ac755a3e6a7199f7009b87b.png)
(1)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4dc99c6b418baf1c3fe26dc43ed9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0497e0221617b798ec945b38ca564b.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5a90aeba435af22d6bcdb7b91650b8.png)
(ii)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5a90aeba435af22d6bcdb7b91650b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f261e90d4dcbaed811d33646a91aff24.png)
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2024高一下·上海·专题练习
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解题方法
6 . “奔驰定理”因其几何表示酷似奔驰的标志得来,是平面向量中一个非常优美的结论.奔驰定理与三角形四心(重心、内心、外心、垂心)有着神秘的关联.它的具体内容是:已知
是
内一点,
的面积分别为
,且
.以下命题错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb90417652d97e7c3f5a6d5926a7d48f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccb3de366206f32e0c9045e63b2e205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf4b6e78e857749e0da486c5c4f0583.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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7 . 主动降噪耳机让我们在嘈杂的环境中享受一丝宁静,它的工作原理是:先通过微型麦克风采集周围的噪声,然后降噪芯片生成与振幅相同的反相位声波来抵消噪声,已知某噪声的声波曲线
且经过点
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff6bed3e418ab4de0496c12d3cbc1a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
A.函数![]() |
B.函数![]() ![]() |
C.![]() ![]() |
D.若对![]() ![]() ![]() |
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解题方法
8 . 已知函数,若对任意
都有
,则实数a的取值范围是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 三阶行列式是解决复杂代数运算的算法,其运算法则如下:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c971b2ecdfce17d75d0290dd194baa3b.png)
.若
,则称
为空间向量
与
的叉乘,其中
,
,
为单位正交基底.以
为坐标原点,分别以
的方向为
轴、
轴、
轴的正方向建立空间直角坐标系,已知
是空间直角坐标系中异于
的不同两点.
(1)①若
,求
;
②证明:
.
(2)记
的面积为
,证明:
;
(3)问:
的几何意义表示以
为底面、
为高的三棱锥体积的多少倍?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c971b2ecdfce17d75d0290dd194baa3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b759f4d0af0d28b35bdd5648db70968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b44b6a86302386ebf96b784d02b039c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4e6bae1b67a0a1eeafdd1114a792df.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/f0f4837cd4b882c0380201dd437e7ae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2772831f709c3c7c9a334b9444e0504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808173f5aafa97a38056d68247d68314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4664eed9e1abab0ed6397c58d70e731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faea453a5148e6b281c75a0caa793452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00db2bada2cfc90c5213aca8af17df4c.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f36900d061dee46d3f76344ac576ba1.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aa828f2bd9a5e63ee58dcaa9d0d336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd55f2f03192e5f0d76bf1cdb51872f2.png)
(3)问:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0cfd110195cf5e453947d1648ef605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4124e7ab7a93ee45858b3a4d4ab3508b.png)
您最近一年使用:0次
2024-03-26更新
|
632次组卷
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3卷引用:重庆市荣昌中学校2023-2024学年高一下学期4月期中考试数学试题
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解题方法
10 . 已知向量
、
垂直,且
,若
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb160060958a85b9a86906f81323caef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187ee1ea3b7e47a6283314322e5decf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743d3c07973779df6b9ffe67e0982d3a.png)
A.34 | B.26 | C.24 | D.14 |
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