名校
1 . 已知
均为实数,且
不同时为零,
不同时为零,则“
”是“关于
的方程组
有无数组解”的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34b9b260d98c0d99196999db209ad1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12cc532e48db0ae16b1fdce387386f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e2ff7768c24467c56fbfc0e11980c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c1239f4e8173776186da2af2e90894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b538b883b0dd3db2d4f061af81658c.png)
A.充分不必要 | B.必要不充分 |
C.充要 | D.既不充分也不必要 |
您最近一年使用:0次
2024-01-14更新
|
163次组卷
|
2卷引用:上海市曹杨第二中学2023-2024学年高二上学期12月月考数学试题
2 . ∃a∈Z,使关于x的分式方程
的解为正数,且∀y<-2,关于y的不等式组
成立.求符合条件的a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfd9f3b23976af8f6873eed3f627080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebf3891214dcfddc60a7eeb25e459e3.png)
您最近一年使用:0次
22-23高一上·上海·阶段练习
名校
3 . 设
,关于
的方程组
.对于命题:①存在a,使得该方程组有无数组解;②对任意a,该方程组均有一组解,下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ff67734ba04fe81e324cc1ba8d7176.png)
A.①和②均为真命题 | B.①和②均为假命题 |
C.①为真命题,②为假命题 | D.①为假命题,②为真命题 |
您最近一年使用:0次
名校
解题方法
4 . 已知
是函数
的导函数,且对任意的实数
都有
(
是自然对数的底数),
,若不等式组
的解集中恰有两个整数,则实数
的取值范围是__________
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7d3fa78d23a9eade627e679ffb7431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331f600365f995d4e0902c031cac233b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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5 . 甲、乙两位同学分别做下面这道题目:在平面直角坐标系中,动点
到
的距离比
到
轴的距离大
,求
的轨迹.甲同学的解法是:解:设
的坐标是
,则根据题意可知
,化简得
; ①当
时,方程可变为
;②这表示的是端点在原点、方向为
轴正方向的射线,且不包括原点; ③当
时,方程可变为
; ④这表示以
为焦点,以直线
为准线的抛物线;⑤所以
的轨迹为端点在原点、方向为
轴正方向的射线,且不包括原点和以
为焦点,以直线
为准线的抛物线. 乙同学的解法是:解:因为动点
到
的距离比
到
轴的距离大
. ①如图,过点
作
轴的垂线,垂足为
. 则
.设直线
与直线
的交点为
,则
; ②即动点
到直线
的距离比
到
轴的距离大
; ③所以动点
到
的距离与
到直线
的距离相等;④所以动点
的轨迹是以
为焦点,以直线
为准线的抛物线; ⑤甲、乙两位同学中解答错误的是________ (填“甲”或者“乙”),他的解答过程是从_____ 处开始出错的(请在横线上填写① 、②、③、④ 或⑤ ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4119e377d6aabf8a5b95cb8f68963a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc32e6ba9295940d1185eb36682f53d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd814daded0614a63c4f9d4eb6538b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d462ed4ec22e8fe51f09eb30e8792532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e091bcc3593e18e1a771fcb2ffd42aff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.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/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b4d435980c7590ab390ca64f777674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123a6eaa56d0b9bd254c6d1361d9114c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c45f869bd81fecff54a990aec9d12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://img.xkw.com/dksih/QBM/2020/1/9/2373416240177152/2374112457277440/STEM/78967d5dd05c4092a839695b53af67a5.png?resizew=140)
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6 . 对于三次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19951f3364fb04433feed743bc37975d.png)
,给出定义:设
是函数
的导数,
是
的导数,若方程
有实数解
,则称点
为函数
的“拐点”,同学经过探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且拐点就是对称中心,若
,请你根据这一发现,求:(1)函数
的对称中心为___________ ;(2)计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb8378ae701d9f5a5d66da3cf62c65d.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19951f3364fb04433feed743bc37975d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5bb89c3ad435f1ef59307b174105ed.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/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed163db8f836e5399406e6d8a7fbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb8378ae701d9f5a5d66da3cf62c65d.png)
您最近一年使用:0次
2021-10-23更新
|
656次组卷
|
10卷引用:北京市第一六一中学2022届高三10月月考数学试题
北京市第一六一中学2022届高三10月月考数学试题江苏省淮安市高中校协作体2021-2022学年高三上学期期中联考数学试题(已下线)第1讲 函数的图象与性质(练 )-2022年高考数学二轮复习讲练测(新教材·新高考地区专用)(已下线)考向08 函数的奇偶性、周期性与对称性(重点)(已下线)第24讲 章末检测四-备战2023年高考数学一轮复习考点帮(新高考专用)江苏省徐州市第七中学2022-2023学年高三上学期12月学情检测数学试题江苏省盐城市大丰区新丰中学2022-2023学年高二上学期期末数学试题(已下线)宁夏石嘴山市第三中学2023-2024学年高二上学期期末数学试题(已下线)期末考试押题卷一(考试范围:苏教版2019选择性必修第一册)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第一册)江苏省南菁高级中学2023-2024学年高二下学期5月月考数学试题
名校
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc73db2ed2558cb6e309e151a500c1a4.png)
.
(1)当
时,求函数
的单调区间;
(2)若
,不等式
在
上存在实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc73db2ed2558cb6e309e151a500c1a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e5ff2705eb737adef9a6dc70559d79.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ca9fb97b8f1c75a95f3e755f8ddbd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf5afd77bd894df1e1a672040de990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-10更新
|
4127次组卷
|
10卷引用:数学试题-【名校面对面】2023-2024学年河南省普通高中高三阶段性检测(一)
数学试题-【名校面对面】2023-2024学年河南省普通高中高三阶段性检测(一)江西省赣州市南康中学2024届高三“九省联考”考后模拟训练数学试题(一)(已下线)重难点2-4 利用导数研究不等式与极值点偏移(8题型+满分技巧+限时检测)2024届广东省新改革高三模拟高考预测卷一(九省联考题型)数学试卷(已下线)第二章 导数及其应用(基础检测卷)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)广东省中山市广东博文学校2023-2024学年高二下学期3月月考数学试题福建省福州第二中学2023-2024学年高二下学期3月月考数学试题吉林省延边朝鲜族自治州和龙市第一高级中学校2023-2024学年高二下学期第一次月考数学试卷陕西省汉中市西乡县第一中学2023-2024学年高二下学期期中考试数学试题河北省衡水市第二中学2023-2024学年高二下学期5月学科素养检测(二调)数学试题
8 . 设
是定义在R上的函数,其导函数为
.
(1)若函数
,求
的值;
(2)若
是奇函数,当
时,恒有
,求不等式
的解集;
(3)若对于任意的实数
都有
,且
,若关于
的不等式
的解集中恰有唯一的一个整数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8077229346193d3fb9624d83279c0f19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383acb6637f314601906b2b617c823bc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e746182b4fd3a7bdbd07b937fd5af444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867e9e947736b4c2f09430ecc84467ff.png)
(3)若对于任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4367d37b1b82c37f6660c6ab8272018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4823e3917929f102d99a8db8e2d569f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
9 . 已知函数
为
上的偶函数,
为
上的奇函数,且
,记
.
(1)求
的最小值;
(2)解关于
的不等式
;
(3)设
,若
的图象与
的图象有2个交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd6c5d5713df54f8c8955eb5ddaf2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b94fee1c22dddbea8da6c3c9973e17b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305e0a1eba7fb1b7bfe8bdbdce1df9d6.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee04cc7d647e23c522c0e7af3b405575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5790d5181783c15fd46d95bf18b796f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
10 . (1)解关于x的不等式
.
(2)设
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d865c250cb108736486d76045595da.png)
,从下面给出的集合中任选一个,填入下面的横线上,并解答下列问题.
①
;②
;
(ⅰ)求集合
;
(ⅱ)______,若“
”是“
”的充分不必要条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d787e62884a561b6cfb91285777e4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0444384d25dddccf1ae5d0a965d301bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d865c250cb108736486d76045595da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded55acfbf73112d19b2a5790495c221.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb18b6b11fe49d5dfd972d747e31369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113232599773a5fa6e4009a3775e3d9b.png)
(ⅰ)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(ⅱ)______,若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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