1 . 若
,
分别是函数
与圆
上的点,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4dd09871437931ae6826265a40a1e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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2 . 已知直三棱柱
内接于球
,点
为
的中点,点
为侧面
上一动点,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0301f429ebbcb3facf846bb0582d5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a485ce35e36e67861c1b8c424a3126.png)
A.点A到平面![]() ![]() |
B.存在点![]() ![]() ![]() |
C.过点![]() ![]() |
D.点![]() ![]() |
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3 . 已知双曲线
的中心为坐标原点,左焦点为
,离心率为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/53503d6f-d3ea-48ea-82e9-1929beaf08d8.png?resizew=135)
(1)求
的方程;
(2)记C的右顶点为A,过点A作直线
与C的左支交于
两点,且
,
,
为垂足.证明:存在定点
,使得
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e47e3ecdff18bdbe66c366f19aeac1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/53503d6f-d3ea-48ea-82e9-1929beaf08d8.png?resizew=135)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)记C的右顶点为A,过点A作直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d075e1f6049129308db0cc58e3916e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3342ceb71dc21a5e6150caad2ce0b029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7920d2550a6af7df3db60a33fe02c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5e0909915a39968fee2b2119c20b0c.png)
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4 . 已知定义在
上的函数
满足
为
的导函数,当
时,
,则不等式
的解集为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7593ecf2dae2c1529f836f3652dd3e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ed1d85bc97496a88372aeaacd1562f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baade51086d9c09dff76b8ff8d1421a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dc50507511f09273703638a2d40e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd0d247555300b1c02d7832ef7a301ae.png)
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2024-01-03更新
|
605次组卷
|
7卷引用:黄金卷07
(已下线)黄金卷07(已下线)专题1.7利用导函数构造原函数(强化训练)-2023-2024学年高二数学下学期重难点突破及混淆易错规避(人教A版2019)(已下线)黄金卷08河南省许济洛平2024届高三上学期第二次质量检测数学试题四川省宜宾市第六中学校2024届高三上学期期末数学(文)试题四川省宜宾市第六中学校2024届高三上学期期末数学(理)试题(已下线)5.3.1函数的单调性——课堂例题
5 . 已知函数
.
(1)当
时,求
的图象在点
处的切线方程;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6aaa1ff67a6199c579ce04fbe4b211c.png)
(1)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/5bea9227dd0104da58e0c40952cc87ed.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b856fd5ae1f570946bae7090a995c3.png)
您最近一年使用:0次
6 . 已知函数
,方程
有两个不等实根,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5315017c419ee3219a3dd2c76314017e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b77299303527b3da4256fa2fe12d14c.png)
A.点![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
2023-12-09更新
|
471次组卷
|
4卷引用:黄金卷07
(已下线)黄金卷07(已下线)微考点2-1 新高考新试卷结构中导数中零点根的个数问题(2大题型)四川省南充市南充高级中学2024届高三上学期第四次月考数学(文)试题四川省南充高级中学2023-2024学年高三上学期第四次月考数学(理科)试题
2023·全国·模拟预测
解题方法
7 . 已知椭圆
内有一个定点
,过点P的两条直线
,
分别与椭圆
交于点A,C和点B,D,且满足
,
,若
变化时,直线CD的斜率总为
,则椭圆
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163b5beef24f681605adecc6b0ba76e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fba23912a459eaa2f6bc5e2aad0e066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5419755b35829dd27f1665d4cf3c8e5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
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2023·全国·模拟预测
解题方法
8 . 实数
,
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acd1467c10c7ff14caca53feea7a540.png)
A.![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
9 . 若实数x,y满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc19a82579403769bc39a1c46b65f0a4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知双曲线
:
经过点
,且渐近线方程为
.
(1)求
的方程;
(2)过点
作
轴的垂线,交直线
:
于点
,交
轴于点
.不过点
的直线交双曲线
于A、B两点,直线
,
的斜率分别为
,
,若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177ae60ade0b7ac20e7bdc40eaa1ef5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf19f40e09bdf49f2b15b34d8e8c9528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6bb019e2d7c6d17d15ec4d9043f5e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec7bcf5820dfe70290259c2d7ac1ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8d1faf0a64ba1cb2e7743be34d4a2.png)
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