名校
解题方法
1 . 已知圆
点
,直线
与圆
交于
两点,点
在直线
上且满足
.若
,则弦
中点
的横坐标的取值范围为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f54dd475ff1321041c80738b201c3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd8cb171425253834dfd7fa1a9da9ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a504ffddb0c711412cd004d0874ebd55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3fd36f2de6c25d432b32c290e6b591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2020/5/7/2457820682854400/2458178292973568/STEM/181c2dc694a74a0bb8bbe0d1532ed853.png?resizew=149)
您最近一年使用:0次
2020-05-08更新
|
2687次组卷
|
8卷引用:2020届江苏省南京市十校高三下学期5月调研数学试题
2020届江苏省南京市十校高三下学期5月调研数学试题江苏省南通市如皋中学2020届高三创新班下学期第一次高考模拟冲刺数学试题(已下线)预测04 平面解析几何-【临门一脚】2020年高考数学三轮冲刺过关(江苏专用)2020届河北省衡水中学高三下学期三模数学(理)试题(已下线)调研测试二(B卷 滚动提升检测)-2021年高考数学(理)一轮复习单元滚动双测卷安徽省阜阳市太和第一中学2020-2021学年高二(奥赛班)上学期期中数学试题(已下线)专题10 《圆与方程》中的取值范围与最值问题(2)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)重庆市南开中学校2022-2023学年高一下学期第二次月考数学试题
名校
解题方法
2 . 椭圆
的右焦点
,过点
且与
轴垂直的直线被椭圆截得的弦长为
.
(1)求椭圆
的方程;
(2)过点
且斜率不为0的直线与椭圆
交于
,
两点.
为坐标原点,
为椭圆
的右顶点,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d314b47d37c9f58e05ad11f3e68e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2cf7996e3462e9791940885d3a5563.png)
您最近一年使用:0次
2020-04-24更新
|
905次组卷
|
3卷引用:2020届甘肃省第一次高考诊断考试理科数学试题
名校
3 . 已知函数
,若集合
,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a7967f7268e5b94f8abd4f9643805a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30465e7abdfd8ffdc7706e71ec1d4612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-04-20更新
|
2674次组卷
|
6卷引用:江苏省盐城市第一中学2020届高三下学期6月第二次调研考试数学试题
江苏省盐城市第一中学2020届高三下学期6月第二次调研考试数学试题2018届浙江省杭州市第二中学高三上学期市统测模拟数学试题(已下线)2022年高考考前20天终极冲刺攻略(三)【理科数学】 (5月28日)(已下线)专题4-2 三角函数图像与性质归类 - 3(已下线)专题9-2 圆的综合题型归类-4江苏省扬州市邗江中学2023-2024学年高二上学期10月学情检测数学试题
名校
解题方法
4 . 已知数列
是等差数列,数列
是等比数列,且
,
的前n项和为
.若
对任意的
恒成立.
(1)求数列
,
的通项公式;
(2)若数列
满足
问:是否存在正整数
,使得
,若存在求出
的值,若不存在,说明理由;
(3)若存在各项均为正整数、公差为
的无穷等差数列
,满足
,且存在正整数
,使得
成等比数列,求
的所有可能的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2767882820f4ba0defde0e412adb747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052c9d97c30da36a818383ead5bfc017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06d030fe2c93a76ffcd9bf73a6ac49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d221a8d3642e02d039c2356caf766ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若存在各项均为正整数、公差为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b19708dcc01886c314e904d8eed8d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d813f3ca8db41a4db6c18eac30fef98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a0d6180a87bf5c95a37338828ba091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a2c16890810783485f321cc7ff062c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b19708dcc01886c314e904d8eed8d81.png)
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名校
5 . 定义:若数列
满足所有的项均由
构成且其中
有
个,
有
个
,则称
为“
﹣数列”.
(1)
为“
﹣数列”
中的任意三项,则使得
的取法有多少种?
(2)
为“
﹣数列”
中的任意三项,则存在多少正整数
对使得
且
的概率为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06f91e41e15def7fb25fc414a61c25c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f8e95068bff1e6996b11bdb6db4d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc4e59d78b78be8c26e2af46867a5f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e267e7a1eb5039bd51c106a7f189a85.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0842e5153f67ede52f4242b1d7a81c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8629596367c75b1b35d4f6816b17ca.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0842e5153f67ede52f4242b1d7a81c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e267e7a1eb5039bd51c106a7f189a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e267e7a1eb5039bd51c106a7f189a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee1b419cf79cf0cf12bdef404238fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ce2b0d668aa3784cf88a0dc398d2b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
2020-04-08更新
|
745次组卷
|
2卷引用:2020届江苏省镇江市九校高三下学期3月模拟考试数学试题
6 . 若函数
的图像上存在两个不同的点关于
轴对称,则称函数
图像上存在一对“偶点”.
(1)写出函数
图像上一对“偶点”的坐标;(不需写出过程)
(2)证明:函数
图像上有且只有一对“偶点”;
(3)若函数
图像上有且只有一对“偶点”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146d28ee1cc1dab15ee114ccfd0ae820.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11095a17ed8667ddab91a021eaf4830a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
7 . 从秦朝统一全国币制到清朝末年,圆形方孔铜钱(简称“孔方兄”)是我国使用时间长达两千多年的货币.如图1,这是一枚清朝同治年间的铜钱,其边框是由大小不等的两同心圆围成的,内嵌正方形孔的中心与同心圆圆心重合,正方形外部,圆框内部刻有四个字“同治重宝”.某模具厂计划仿制这样的铜钱作为纪念品,其小圆内部图纸设计如图2所示,小圆直径1厘米,内嵌一个大正方形孔,四周是四个全等的小正方形(边长比孔的边长小),每个正方形有两个顶点在圆周上,另两个顶点在孔边上,四个小正方形内用于刻铜钱上的字.设
,五个正方形的面积和为
.
![](https://img.xkw.com/dksih/QBM/2020/4/8/2436955407392768/2437117061709824/STEM/70e15ab482af413f95da08e2048e5f76.png?resizew=353)
(1)求面积
关于
的函数表达式,并求
的范围;
(2)求面积
最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06c491961dac15b5c1f7b0797d0344a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/2020/4/8/2436955407392768/2437117061709824/STEM/70e15ab482af413f95da08e2048e5f76.png?resizew=353)
(1)求面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)求面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2020-04-08更新
|
1484次组卷
|
3卷引用:江苏省南通市如皋市2019-2020学年高三下学期期初考试数学试题
江苏省南通市如皋市2019-2020学年高三下学期期初考试数学试题江苏省南京市第一中学2020-2021学年高一下学期3月月考数学试题(已下线)福建省武平县第一中学2021-2022学年高一10月月考数学试题
名校
解题方法
8 . 对于数列
,若从第二项起的每一项均大于该项之前的所有项的和,则称
为
数列.
(1)若
的前
项和
,试判断
是否是
数列,并说明理由;
(2)设数列
是首项为
、公差为
的等差数列,若该数列是
数列,求
的取值范围;
(3)设无穷数列
是首项为
、公比为
的等比数列,有穷数列
,
是从
中取出部分项按原来的顺序所组成的不同数列,其所有项和分别为
,
,求
是
数列时
与
所满足的条件,并证明命题“若
且
,则
不是
数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](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/6557a073e19a3e7fba1c4e9440590cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37167eb5e0b51c0724690bd068f3b201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(3)设无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80aeefc35c0251e558b90827b1382871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2020-04-07更新
|
936次组卷
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10卷引用:江苏省连云港市灌云县第一中学2019-2020学年高三下学期3月线上考试数学试题
江苏省连云港市灌云县第一中学2019-2020学年高三下学期3月线上考试数学试题2020届江苏省徐州中学、徐州一中高三下学期5月高考模拟数学试题江苏省盐城市滨海县八滩中学2020届高三下学期四模数学试题(已下线)专题20 数列的综合-2020年高考数学母题题源解密(江苏专版)江苏省南通市如皋中学2020届高三创新班下学期高考冲刺模拟(四)数学试题江苏省苏州大学2020届高三下学期高考考前指导数学试题(已下线)预测07 数列-【临门一脚】2020年高考数学三轮冲刺过关(江苏专用)2020届上海市黄浦区高三一模(期末)数学试题(已下线)第4章 数列(培优卷)-2021-2022学年高二数学新教材单元双测卷(苏教版2019选择性必修第一册)上海市八校联考2023届高三上学期开学考试数学试题
解题方法
9 . 已知函数
,
,
.函数
的导函数
在
上存在零点.
求实数
的取值范围;
若存在实数
,当
时,函数
在
时取得最大值,求正实数
的最大值;
若直线
与曲线
和
都相切,且
在
轴上的截距为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2f48936c250f6f2333f6a01c1afdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf4e7066c819490a633c25e5f6fd542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac186ff5ddde6b92bb73958dd2f52b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e82f423c1c5d304766d1a22d72f042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d1306fd98458d6934dc90efdefde1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42f54feac6ed738a868ecd53d3a85a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62295c36d2e2174908c2bec0eb5b30f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e35f76e01c3979ae5987f7729f9856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
10 . 设函数
,(
).
(1)若曲线
在点
处的切线方程为
,求实数a、m的值;
(2)若
对任意
恒成立,求实数a的取值范围;
(3)关于x的方程
能否有三个不同的实根?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd586b330d3bbf541ca4ee8f4d025a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9bd7fdb0c44b5e2e1d5a59dd6f7dd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dae09c34b215bd5cb08314328c2bf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44165805c9477000c83b902377ea3455.png)
(3)关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcd03a16b178c421ba4b8b32b37ac97.png)
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