1 . 已知数列
中,
,
.记
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc80acc90d8dc1fcbd14217fbc1e80d9.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31efa46d064969286f3da41d4bcb9be.png)
______
.(从“>、
、<、
、=”中选一个符号填在第二个横线上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a564595e470d31c824b99575a53f9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb552493a42ba5656ed07a1a9343251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb284c3ccbe397a6508b157e75b5d2f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc80acc90d8dc1fcbd14217fbc1e80d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31efa46d064969286f3da41d4bcb9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75def7419bdf6720da3bd5f47bb1dbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e119c508fd265e3e3d78749e54fe4f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8536a5ebd76f494c03019086506d8e6a.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02216fa640ac5c29f59d89996af0878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140f201c0ac30653dd705d85ceea9800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
A.函数![]() |
B.若曲线![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.对![]() ![]() |
您最近一年使用:0次
名校
3 . 已知函数
,
.
(1)函数
为函数
的导函数,当
时,证明:
,
恒成立;
(2)当
时,证明:函数
存在极值点
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f8c170c399b29eff1ab8cbd5c5d342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4855787feb81a72c6fb51e2246ca87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52da616af9387c1ce71d19bf5c664d99.png)
您最近一年使用:0次
解题方法
4 . 已知椭圆
和直线l:
,椭圆的离心率
,坐标原点到直线的距离为
.
(1)求椭圆的方程;
(2)已知定点
,若直线
与椭圆相交于C,D两点,试判断是否存在实数k,使以CD为直径的圆过定点E?若存在,求出k的值,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d622330932e0700abced7a1a5cc1b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234e7679481ec0d01c915b7fbb71891d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆的方程;
(2)已知定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97fb96d52f1ab7cd9c4e9427838bd6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0189d4c890b2f150fc4ab7664a86294c.png)
您最近一年使用:0次
2023-02-23更新
|
589次组卷
|
3卷引用:吉林省白城市通榆县第一中学校2022-2023学年高二上学期期末数学试题
吉林省白城市通榆县第一中学校2022-2023学年高二上学期期末数学试题浙江省杭州市六县九校联盟2023-2024学年高二上学期11月期中联考数学试题(已下线)专题7-4圆锥曲线五个方程型大题归类-2
名校
解题方法
5 . 已知椭圆
的左、右焦点分别为
,离心率为
,过左焦点
的直线
与椭圆
交于
两点(
不在
轴上),
的周长为
.
(1)求椭圆
的标准方程;
(2)若点
在椭圆
上,且
为坐标原点),求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453ea8f3a2b85526b54bf453871c3820.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8d68257ba90d0b05303d8d4a7bae33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2afc87067a2c8ee603eb8903bac424a.png)
您最近一年使用:0次
2023-02-14更新
|
657次组卷
|
7卷引用:吉林省白城市通榆县2022-2023学年高二上学期期末数学试题
名校
解题方法
6 . 已知数列
的前
项和
,数列
满足
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3bc907fe03ad648a78548de36bcc6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7b58764124e356b0519267d01e88e4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3bbc397c46b4fc82a531e6dc388d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19a6a8737d38c958d1443a7414e237f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2023-01-16更新
|
388次组卷
|
3卷引用:吉林省实验中学2022-2023学年高二上学期期末数学试题
名校
解题方法
7 . 设曲线
上任意一点到直线
的距离比它到点
的距离大1,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
A.曲线![]() ![]() |
B.若曲线![]() ![]() ![]() ![]() ![]() |
C.已知曲线![]() ![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-01-15更新
|
273次组卷
|
2卷引用:吉林省延边朝鲜族自治州敦化市实验中学校2022-2023学年高二上学期期末数学试题
名校
解题方法
8 . 已知椭圆
的离心率为
,且短轴长2,O为坐标原点.
(1)求椭圆C的方程;
(2)设过点
的直线l与椭圆C交于M,N两点,当
的面积最大时,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆C的方程;
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
您最近一年使用:0次
2023-01-14更新
|
422次组卷
|
3卷引用:吉林省长春市长春外国语学校2022-2023学年高二上学期期末数学试题
9 . 已知抛物线
过点
,过点
的直线交抛物线于M,N两点,点N在点M右侧,若F为焦点,直线NF,MF分别交抛物线于P,Q两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266504a4bd910b292c74765dc9772f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
A.准线方程为![]() |
B.![]() |
C.![]() |
D.A,P,Q三点共线 |
您最近一年使用:0次
10 . 已知函数
.
(1)当
时,求
在
上的单调区间;
(2)若
在
内有极值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/056bcaa5acfa64cdc99a316820a1e701.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4a2b3998705e51dbade9ada0873b2b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d5f1676dc00e9b0af4656ce047170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-01-08更新
|
422次组卷
|
5卷引用:吉林省长春市博硕学校(原北师大长春附属学校)2021-2022学年高二下学期期末考试数学试题