1 . 已知
,
是椭圆
的两个焦点,
是椭圆上在第一象限内的点,若
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc9c2ee7fbe10e9392492c68138c739.png)
______ .
![](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/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc9c2ee7fbe10e9392492c68138c739.png)
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2 . 已知在平面直角坐标系
中的一个椭圆,它的中心在原点,左焦点为
,上顶点为
,设点
.
(1)若
是椭圆上的动点,求线段
中点
的轨迹方程;
(2)过原点
的直线交椭圆于点
、
,若
的面积为
,求直线
的斜率
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46542271c7fa06f33b222424838c9684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdfbae913ff7ff8caaefcaacf8c20ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3121286332a886070029e070fea0e4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
3 . 已知函数
.
(1)若
的值域为
,求
的取值范围;
(2)设
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d0865a9c3cfe1bee472c0b59cfd3a3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1098f029d656bae0f5c742d364bbe1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebb4d562f56378b1c95ee5572964f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-11更新
|
549次组卷
|
5卷引用:甘肃省陇南市2023-2024学年高一上学期期末检测数学试题
甘肃省陇南市2023-2024学年高一上学期期末检测数学试题四川省雅安市雅安中学2023-2024学年高一上学期1月月考数学试题吉林省部分名校2023-2024学年高一上学期期末联合考试数学试题青海省海北州2023-2024学年高一上学期期末联考数学试题(已下线)专题06 一轮复习指数函数,对数函数,幂函数--高二期末考点大串讲(人教A版2019)
名校
4 . 将函数
的图象上的每一点的横坐标缩短为原来的
,纵坐标不变,再将所得图象向右平移
个单位长度,得到
的图象,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf36e9bbe4dc23bb02d452d38afb9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8a997ec86ca39fef94703375c4638d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-01-11更新
|
876次组卷
|
5卷引用:甘肃省陇南市2023-2024学年高一上学期期末检测数学试题
甘肃省陇南市2023-2024学年高一上学期期末检测数学试题四川省雅安市雅安中学2023-2024学年高一上学期1月月考数学试题重庆市乌江新高考协作体2024届高三上学期高考第一次联合调研抽测数学试题吉林省部分名校2023-2024学年高一上学期期末联合考试数学试题(已下线)考点6 三角函数的奇偶性、对称性、零点 --2024届高考数学考点总动员【练】
名校
解题方法
5 . 若角
的终边经过点
,则
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd58baea326536a3eb40b486c4d5905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-11更新
|
725次组卷
|
5卷引用:甘肃省陇南市2023-2024学年高一上学期期末检测数学试题
甘肃省陇南市2023-2024学年高一上学期期末检测数学试题四川省雅安市雅安中学2023-2024学年高一上学期1月月考数学试题吉林省部分名校2023-2024学年高一上学期期末联合考试数学试题(已下线)专题05 三角函数2-2024年高一数学寒假作业单元合订本山东省青岛第九中学2023-2024学年高一下学期期初检测数学试卷
6 . 已知A、B是椭圆
上两点,且
.(O为坐标原点)
(1)求证:
为定值,并求△AOB面积的最大值与最小值;
(2)过O作OH⊥AB于H,求点H的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11e7549cfce9220e70250ac943e457.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb8956ebcde7cf0f1011a2fc1888e15.png)
(2)过O作OH⊥AB于H,求点H的轨迹方程.
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解题方法
7 . 已知
满足的约束条件![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad25d2fc0f5765a89920470dca859a1a.png)
(1)求
的最大值与最小值;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad25d2fc0f5765a89920470dca859a1a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36d659c40735ceaca8190f175115fb8.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c55f98cb3caa86c18bd5d4d233e4703.png)
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名校
8 . 已知
,
(
,
,
为两两互相垂直的单位向量),若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6efa575c9bfe6a4a42d4733c0eeac8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc2ee06b14cb7da0de17e4e084d42bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf2a896afb91ca06b513acd1a73bb83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821a7c2e810ef18a2ee78f3722f03c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc67f3d40b7871f0c702a85b313c15b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-07更新
|
843次组卷
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3卷引用:甘肃省徽县第一中学2021-2022学年高二上学期期末数学(理)试题
甘肃省徽县第一中学2021-2022学年高二上学期期末数学(理)试题(已下线)模块一 专题1 空间向量的基本运算 期末终极研习室(2023-2024学年第一学期)高二人教A版四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(六)
9 . 若不等式
的解集为
,则
等于_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f5a3f4fac89aed9ee29850191e62ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e839405d310e959aebf43e5403fdd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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解题方法
10 . 已知数列
的通项为
,前n项和为
,且
是
与2的等差中项,数列
中,
,点
在直线
上.求数列
、
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f062a8bed170de9ee318b0c69f0401b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc11a3a7592c68b20f93bdde2ed3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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