1 . 命题“
是无理数”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaaca4053a54355a557963564f2a3b01.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b21c754c3a1191216b9ec5c413d1419.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
解题方法
3 . 通常称离心率为
的椭圆为“黄金椭圆”.已知椭圆
,
,
分别为左、右顶点,
,
分别为上、下顶点,
,
分别为左、右焦点,
为椭圆上一点,则满足下列条件能使椭圆
为“黄金椭圆”的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/6c239216-d510-4893-ba12-4e5df224fe36.png?resizew=168)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d393bb07b7140905b85f550519de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/6c239216-d510-4893-ba12-4e5df224fe36.png?resizew=168)
A.![]() | B.![]() |
C.四边形![]() ![]() ![]() | D.![]() ![]() |
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解题方法
4 . 已知椭圆
的离心率为
,上下顶点分别为
,
,
.过点
,且斜率为
的直线
与
轴相交于点
,与椭圆相交于
两点.
(1)求椭圆的方程.
(2)若
,求
的值.
(3)是否存在实数
,使直线
平行于直线
?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179d7920ec6cd22f3a0cfa6738260153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887e587a4fb083a37f3d84f42874ec16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(1)求椭圆的方程.
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749855e4423d1be916990f7345eeca76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
名校
解题方法
5 . 命题
:“
,
”的否定为真命题的一个充分条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79eb2bbf414cc2fd50603fc4d23aca14.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-17更新
|
370次组卷
|
2卷引用:山东省临沂市沂水、平邑2023-2024学年高一上学期期中考试数学试题
6 . 已知函数
.
(1)讨论
的单调性;
(2)若方程
有两个不相等的实根
,
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef92a1b21dee16b769b344f033d6d23.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ab0c9b89b443de5dae60b69a94d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4b6596ddd986c70c89171c047693ba.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e75b9256386529275112c3d24230d5.png)
(1)若
,求函数
的单调区间;
(2)若
存在最大值,求最大值
和
的取值范围.
(3)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e75b9256386529275112c3d24230d5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f88a76f947e7022ef0c5efd6db060c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6aa66b1b714f6f430c8b37d20efa479.png)
您最近一年使用:0次
解题方法
8 . 已知函数
,
为实数.
(1)求函数
的单调区间;
(2)若函数
在
处取得极值,
是函数
的导函数,且
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722bb5bfb098020c817d851dbb927de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c21027ff08411931d32c530b64fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8a229cc42ec3bc9c5e68523cf5ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24e9b3a955613bcb1a4fd32ab64c341.png)
您最近一年使用:0次
9 . 已知函数
的导函数为
,且曲线
在点
处的切线方程为
.
(1)证明:当
时,
;
(2)设
有两个极值点.
,过点
和
的直线的斜率为k,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f49cece607b3710b4de997de17b242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ff25c767fcbe6fe596d996031eed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8a3365e99f926b1dafa901ab232152.png)
(1)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8da02228735b75196f7e914c9064d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c72d250a079379c5175693c165248c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17af9e2ab4f5e0dba872385007c92190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d630057f53b9e35dda1505f3a98aa06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4197070db34f0419b6d85eed4cec9fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
您最近一年使用:0次
名校
解题方法
10 . 命题“
,
”为假命题,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c41780aaae8c12ff0cf977b8cc4bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-15更新
|
340次组卷
|
7卷引用:山东省临沂市临沂第一中学2021-2022学年高一上学期期中数学试题