解题方法
1 . 已知函数
,
.
(1)求
在
处的切线方程;
(2)当
时,
,数列
满足
,且
,证明:
;
(3)当
时,
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d986f7e47d288006e99ee7dcfe04e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d4457c1e88f428c2e98770959f7a2e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e75f1050d7eafd80ac379f0fedf2fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6f4a302d3a9023c0a82b889f4ba918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2251dc81292a17b6e6bf8a4beefd06af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b462bac5f3e21319598d52cfc75414fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfad06200477816cf838c4ca01817fd9.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447d6f62c09c1d05346fd16a24159f6e.png)
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2 . 已知椭圆
的左、右焦点分别为
,
,半焦距为c.在椭圆上存在点P使得
,O为原点,则椭圆离心率的可能取值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/6297372e4b605fd93cd77099afd3c527.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知函数
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2035f69c64090a05046ca2325d9331f.png)
A.若![]() ![]() ![]() |
B.将函数![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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解题方法
4 . 正方体
的棱长为1,点
分别为棱
,
,
,
的中点,
为线段
上的动点,过
的平面截正方体所得的截面记为S,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74fed74ddc1f0c98f59178e576650a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad74f90f6e6893d41d31b52407869da9.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() |
D.当![]() ![]() ![]() ![]() |
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5 . 牛顿曾经提出了在常温环境下的温度冷却模型
(t为时间,单位:分钟,
为环境温度,
为物体初始温度,
为冷却后温度),假设一杯开水温度
,环境温度
,常数
,大约经过________ 分钟水温降为30℃(参考数据:
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6861ea66b004cf4b9058032e2d3df15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4438bae1705c0f26beddf41322c087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf00b2b38708ff34059b6970e9f38a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fc0f9104ff36aab0aa266390af0ff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d81febf743fd2ea37bb596890773f700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12a76edbb3e98e3ff41c03401769d1c.png)
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6 . 已知点F为抛物线
的焦点,
为抛物线上一点,且
,则该抛物线的准线方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf54a163cef69c4650f6dd0894f575ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b173a5c1a243794a788b2a041da4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1584d07b1e2ddc64349f0f5940f3a3e.png)
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7 . 已知复数z满足
,则复数z在复平面内对应的点Z位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c316146d4984cda985dd61e4752d3fb.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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解题方法
8 . 定义在
上的函数
满足:对任意
都有
成立,且当
时,
.若
对任意的
恒成立,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66916c88c9f0d516fd079dd75952b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ce1faa6573fdd2d317c615634d2332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60ec1f044acfb31dfb31b2c87dd924b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d956bec3308596306596c12dca1d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37bbf39148264423c930777f3272ca58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c62ba9a9b1734e9a71145407edbf55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知
,若
有四个不同的零点,则t的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbad69de967d3873f571c72e4e4e49fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89c2e159c04dee55d4b8ef18809fb45.png)
您最近一年使用:0次
2023-12-28更新
|
938次组卷
|
3卷引用:贵州省铜仁市石阡县民族中学等校2024届“3+3+3”高考备考诊断性联考(一)数学试题
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