解题方法
1 . 已知
,且
,则
的最小值为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b388567a2f2bd33db05d1d7978364ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80122060f33e4497f17b186ea7a5174b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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解题方法
2 . 下列命题正确的是( )
A.![]() ![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
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3 . 设函数
,已知存在A使得
同时满足下列三个条件中的两个:
条件①:
;
条件②:
的最大值为2;
条件③:
是
图象的一条对称轴.
(1)请判断
满足的两个条件,并写出函数
的解析式;
(2)若函数
在区间
上有且只有一个零点,求
的取值范围;
(3)已知
,若函数
在区间
上恰好有两个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9420be94065d183c5c9076d6ca0c606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d2686a0814cec46692888cfad8213f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)请判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/20d45c738904d7aea7b2aa9caa2aa315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9c82c1ec9a0ff6eec86178962285f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff14bdd7f2b48c0ce6ba8696c89fbf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 设
为锐角,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188bb67adfa9e8333277b65930b1a712.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb8b1eee3443167c4e11a9749aa3cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188bb67adfa9e8333277b65930b1a712.png)
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5 . 已知函数
.
(1)用“五点法”作出它在一个周期内的图象;
(2)已知函数
(
).
(i)若函数
的最小正周期为
,求
的单调递增区间;
(ii)在(i)条件下求函数
在
范围内的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d4327a608d70c95cf2ffa03ac43604.png)
(1)用“五点法”作出它在一个周期内的图象;
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf668a33191dfea4f4606e9823f5208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01293c75043b2c0ff2df020a2f5fec50.png)
(i)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8d7771b82429dcd6b48b768918c7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
(ii)在(i)条件下求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c73d38af4b29d3ca2c920792aedec46e.png)
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6 . 已知向量
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
_____ ,若
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467405b57ddf673891dd4bc7a2b1507a.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e88b53861b2f0cafec72963fd21a9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52edaa13fcfb5e4a6fe252b497f345c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0decd3d8b16843c4cd8c9ba6c5800536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28329f124ae2cf17771ecda63484c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085fb8de8c1a557d850fc8245d6237ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467405b57ddf673891dd4bc7a2b1507a.png)
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解题方法
7 . 在
中.
,
,
.
(1)求
;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccbc6575d9c931cb7e13b211a8339fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0086d1967e0a470b2576a525dae0647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd454e69236d3ece1583420fb552e07.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-02-28更新
|
482次组卷
|
2卷引用:北京市第二十四中学2021-2022学年高一下学期期中考试数学试卷
8 . 已知函数
.
(1)求函数的对称中心;
(2)函数
在
内是否存在单调减区间?若存在请说明原因并写出递减区间.若不存在.说明理由;
(3)若
都有
恒成立.求实数m的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32df380fd4eec992e81e40864eedd509.png)
(1)求函数的对称中心;
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd72de8cfdfd196901f0380e2435043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b84a6f9ee9bdbd9b324f45714e8a5.png)
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解题方法
9 . 已知函数
.
(1)求函数
的最小正周期;
(2)若函数
有零点.求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff87e922c0d4e7f0533f9d808c10780.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知向量
,
满足
,
,
.
(1)求
与
的夹角的余弦值;
(2)求
;
(3)在
中,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959a96954c30f75a095d89d3454ea0d2.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e26c5d99573bac72b1232e1a1bf7004.png)
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518157c5d070b6b137cc0c089cab736a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830467fd6ce25f896418dc9f3d98f6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38703096eae34760249503dfffb6f74.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3b921a8873f5f4500286c4c7929d46.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959a96954c30f75a095d89d3454ea0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e26c5d99573bac72b1232e1a1bf7004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-02-24更新
|
918次组卷
|
3卷引用:北京市海淀区尚丽外国语学校2021-2022学年高一下学期期中考试数学试卷