名校
解题方法
1 . 已知点
与
,动点
满足直线
,
的斜率之积为
,则点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)若点
在直线
上,直线
,
分别与曲线
交于点
,
,求
与
面积之比的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40630a669f4eedf626bc24851df10c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ce8d4a9d432afe03a988ae2d49c28c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98c4b3f3fe826e124ca7d199d4ca4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817a419430d9951cbdb89b657b21bcf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04e30d5827f2120d997997e4e31ba17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db687a72ac51db994067207e136c8857.png)
您最近一年使用:0次
2022-11-26更新
|
1392次组卷
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5卷引用:重庆市长寿中学校2022-2023学年高二上学期期末数学试题
重庆市长寿中学校2022-2023学年高二上学期期末数学试题江苏省南京市六校2022-2023学年高三上学期11月联考数学试题甘肃省兰州市第二十八中学2022-2023学年高二上学期期末数学试题(已下线)江苏省七市2022届高三下学期第二次调研考试数学试题变式题17-22江西省新干县第二中学2022-2023学年高二下学期3月月考数学试题
名校
解题方法
2 . 已知函数
,
是自然对数的底数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f53f81bca037a4383c1fab122a3cd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
A.![]() ![]() |
B.![]() |
C.若![]() ![]() |
D.对任意两个正实数![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-05-15更新
|
1445次组卷
|
4卷引用:重庆市重庆市长寿区重庆市长寿川维中学校2023-2024学年高二下学期5月月考数学试题
名校
解题方法
3 . 1.在平面直角坐标系
中,椭圆
:
的离心率为
,焦距为2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/be9ccdf9-1a3e-48be-98d0-c5da85f95fd8.png?resizew=221)
(1)求椭圆
的方程;
(2)如图,动直线
:
交椭圆
于A,
两点,
是椭圆
上一点,直线
的斜率为
,且
,
是线段
延长线上一点,且
,
的半径为
,
,
是
的两条切线,切点分别为S,
.求
的最小值及
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/be9ccdf9-1a3e-48be-98d0-c5da85f95fd8.png?resizew=221)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)如图,动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394d3d55b68bd014b2a743da6bc0bbd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b728c0e69820cdcd839e67ffdb1014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77c7fcf5a32774e6e0c46bb6e3618a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc28b3e3b151b74ace297c6af574cac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d66b83d9dbcb45e1c241d18a3e1843f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6542e3902685bc6c6e7338eeff7db0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0a0f726fad67e97d5864dec65cb5c6.png)
您最近一年使用:0次
2021-11-14更新
|
1509次组卷
|
5卷引用:重庆市长寿区2022-2023学年高二上学期期末数学试题(A卷)
名校
解题方法
4 . 已知
,
.
(1)当
时,求证:对任意
,
;
(2)若
是函数
的极大值点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3f390a7894ff05d68f310038a89bae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10424a6f85ada26ff69283728d6988ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . 设正数
,
,
满足
,
,
,
是以
为圆心的单位圆上的
个点,且
.若
是圆
所在平面上任意一点,则
的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061baa765d2939a416300de14c45b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4636b9ad631572133c835e4ce50438b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a8b5f852f85e77ebdd7872cfd5029d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96818df1abe53f1b05e90a9140b70366.png)
A.2 | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-27更新
|
2739次组卷
|
7卷引用:重庆市长寿中学校2021-2022学年高一下学期阶段性考试(一)数学试题
重庆市长寿中学校2021-2022学年高一下学期阶段性考试(一)数学试题浙江省绍兴市柯桥区2020届高三下学期6月方向性考试数学试题(已下线)期末测试卷02-2020-2021学年高一数学下学期期末专项复习(北师大版2019必修第二册)(已下线)2022年高考考前20天终极冲刺攻略(二)【理科数学】湖北省十堰市丹江口市第一中学2021-2022学年高一下学期期中数学试题(一)(已下线)第9章 平面向量 单元综合检测(难点)-《重难点题型·高分突破》(苏教版2019必修第二册)福建省厦门市外国语学校2023-2024学年高一下学期第一次月考数学试题
2014·江西宜春·一模
名校
解题方法
6 . 已知椭圆C:
=1(a>0,b>0)的离心率与双曲线
=1的一条渐近线的斜率相等,以原点为圆心,椭圆的短半轴长为半径的圆与直线
相切(
为常数).
(1)求椭圆C的方程;
(2)若过点M(3,0)的直线与椭圆C相交TA,B两点,设P为椭圆上一点,且满足
(O为坐标原点),当
时,求实数t取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199f454cb22c34dfa82798ebd6c9054c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab458155b42622f4257b63f1537e937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fde530fccdb2bcf070e4dfb38f9361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)求椭圆C的方程;
(2)若过点M(3,0)的直线与椭圆C相交TA,B两点,设P为椭圆上一点,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfccfba0f6b1c0762a9cb37c3f6fff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5832f9da80e39f124906188cb294090.png)
您最近一年使用:0次
2016-12-03更新
|
1235次组卷
|
3卷引用:重庆长寿中学2019届高三下学期开学摸底理科数学试题