1 . 已知
.
(1)求
和
的值;
(2)若
为第四象限角,当
时,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d585c0f04cd6e187f767be6a8a374cb9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bcb22441213a6684859467b2101df08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d971fc8e14e4172797a8a26f9556095.png)
您最近一年使用:0次
2024-02-13更新
|
258次组卷
|
4卷引用:四川省乐山市2023-2024学年高一上学期期末教学质量检测数学试题
解题方法
2 . 已知函数
.
(1)将函数
的图象向左平移1个单位,得到函数
的图象,求不等式
的解集;
(2)判断函数
的单调性,并用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778ccc35c2f08b81d3ca4e99b6086ab8.png)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5580c324ff3a1b256d0147adf3c0633f.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2024-02-13更新
|
221次组卷
|
4卷引用:四川省乐山市2023-2024学年高一上学期期末教学质量检测数学试题
名校
解题方法
3 . 已知集合
,
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5881ac3d23a08af2b55d1a901ccb5796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddff9a95efe482689e7702ca3c77eee.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfa1a02d2a09be021d3dd8ca593bc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-13更新
|
212次组卷
|
5卷引用:四川省乐山市2023-2024学年高一上学期期末教学质量检测数学试题
4 . 科技创新成为全球经济格局关键变量,某公司为实现1600万元的利润目标,准备制定一个激励研发人员的奖励方案:当投资收益达到600万元时,按投资收益进行奖励,要求奖金
(单位:万元)随投资收益
(单位:万元)的增加而增加,奖金总数不低于20万元,且奖金总数不超过投资收益的
.
(1)现有①
;②
;③
三个奖励函数模型.结合函数的性质及已知条件.当
时,判断哪个函数模型符合公司要求?
(2)根据(1)中符合公司要求的函数模型,要使奖金达到50万元,公司的投资收益至少为多少万元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f733b1ceeead9ff892539d46a23f3626.png)
(1)现有①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b09ea2fb2949b0d6cdc6d56c957f329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36102fecf8855e8f422138e7d053b534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a091c29245ac33a84265b50995bb5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14009655e32bf45289e9c5f0de2edfe8.png)
(2)根据(1)中符合公司要求的函数模型,要使奖金达到50万元,公司的投资收益至少为多少万元?
您最近一年使用:0次
2024-02-13更新
|
199次组卷
|
4卷引用:四川省乐山市2023-2024学年高一上学期期末教学质量检测数学试题
5 . (1)计算:
;
(2)解关于
的一元二次不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909c990f91c497fdb6e2ece55091da25.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a98a52c4b98d9c4d42e1d4bd2b2b979.png)
您最近一年使用:0次
2024-02-13更新
|
235次组卷
|
4卷引用:四川省乐山市2023-2024学年高一上学期期末教学质量检测数学试题
解题方法
6 . 已知函数
.
(1)将函数
的解析式化简,并求
的值,
(2)若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ec97089345fd5da6b8a54283e6ad14.png)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ff6995b4d2d18c865c51488b9c1bb0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31aba8ca22579a6d5eed632aecff4548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-01-24更新
|
318次组卷
|
5卷引用:四川省乐山市2023-2024学年高一上学期期末教学质量检测数学试题
四川省乐山市2023-2024学年高一上学期期末教学质量检测数学试题四川省广安市2023-2024学年高一上学期1月期末教学质量检测数学试题四川省遂宁市2023-2024学年高一上学期期末质量监测数学试题四川省巴中市2023-2024学年高一上学期期末数学试题(已下线)7.3.3 余弦函数的性质与图象(2)-【帮课堂】(人教B版2019必修第三册)
解题方法
7 . 已知直棱柱
中,
,
,
,
,D为线段
上任一点,E,F分别为
,
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/27476bc5-8235-4722-94e4-cb9c91641405.png?resizew=133)
(1)证明:
;
(2)当
为何值时,平面
与平面
的二面角的正弦值最小,并求出最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c14a66ed4bd66df65bc42c4ac1ed15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd676c41d2d644928f014b0fea4689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81e24376a13d648c2ed0dc73bc710e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/27476bc5-8235-4722-94e4-cb9c91641405.png?resizew=133)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be099a94f553b5c982d705cc2123e43.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27daee2bab56f1808877c2e2594f8324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
您最近一年使用:0次
解题方法
8 . 已知斜棱柱
中,
,
.设
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/2f22d8ff-5b0c-4715-9280-98af323f674c.png?resizew=136)
(1)用基底
,
,
表示向量
,并求
;
(2)求向量
与向量
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead0e8eadfdcefa334953e88864f424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d13ecb54b1006051d2561327aa4755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8780f5b68f8907a57c1c2f96233a78c5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/2f22d8ff-5b0c-4715-9280-98af323f674c.png?resizew=136)
(1)用基底
![](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/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053c0f6846f2bf8671b351a4263a0270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2854c67a40773c10bf0a89479d36a0df.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053c0f6846f2bf8671b351a4263a0270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
您最近一年使用:0次
解题方法
9 . 已知椭圆T以坐标原点O为对称中心,以坐标轴为对称轴,且过
,
.
(1)求椭圆T的标准方程;
(2)若A、B为椭圆上两点,且以线段AB为直径的圆经过O点.
①求证:
为定值;
②求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f839491380e131c801e2c3c4a75bcdfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f854bbda125255ac766343c1caa71ec.png)
(1)求椭圆T的标准方程;
(2)若A、B为椭圆上两点,且以线段AB为直径的圆经过O点.
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785fc822e5e30c0a9b7fa56d7306809a.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
解题方法
10 . 已知
、
分别是双曲线C:
(
,
)的两个焦点,若双曲线的一条渐近线与直线
恰好平行.
(1)求双曲线C的离心率;
(2)若
,M为双曲线上一点,且
,求
的值﹒
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af449f710cdcbb849672b3dcc2c84bb7.png)
(1)求双曲线C的离心率;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4428ec56246b35cb87bfe7ed50f0ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22cc73ff3f197568b1de60f31c0d845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2675e721a547386255bae4dfdca9ff2.png)
您最近一年使用:0次