1 . 已知函数
的表达式为
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b798464902cb04f8e4c6266617cc61d0.png)
(1)求函数
的解析式;
(2)若方程
有两个不同的实数解,求实数m的取值范围;
(3)已知
若方程
的解分别为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
,
方程
的解分别为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabf9c2be07911c5a8139ba8497d37b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b798464902cb04f8e4c6266617cc61d0.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce0597b9720c22b7658e41f994a6538.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a264899407556753168069e2ee9e358e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08076f21bf7b88ddb46812f945a600b.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/84b5f32c09caa0be0d4c33be07aa4530.png)
方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46bbd0eaf3dd74f824178d52db83206b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db7e9895e3bf2dcdddd5a5f7f0a7d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db135b1af84c871584c0a850e6d6246.png)
您最近一年使用:0次
2023-11-01更新
|
878次组卷
|
2卷引用:重庆市合川区北新巴蜀中学校2023-2024学年高一上学期期中数学复习题 (1)
解题方法
2 . 已知函数
.
(1)当
时,求函数
在区间
上的最大值和最小值;
(2)若对任意的
,均存在
,使得
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0122e9b5cec435ee01ed1799f260a25.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47e734b17201fe992be7775714e9558.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31395d2ed7dacaf20369a0eeabc2e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1a5699410baa270f3fa8153ab346e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff3418d07b101aef569ebed14037ea3.png)
您最近一年使用:0次
2022-05-24更新
|
929次组卷
|
3卷引用:重庆市合川区2020-2021学年高二下学期3月联考数学试题
解题方法
3 . 已知椭圆
的离心率为
,设椭圆C的左、右焦点分别为F1,F2,左、右顶点分别为A,B,且
,1,
为等比数列.
(1)求椭圆C的方程;
(2)过点P(4,0)作直线l与椭圆交于M,N两点(直线l与x轴不重合),设直线AM,BN的斜率分别为k1,k2,判断
是否为定值?若是,求出该值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3451c23f5a9bda849b11eba40cedb4bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fcba856f0f209c477a434cad877c66.png)
(1)求椭圆C的方程;
(2)过点P(4,0)作直线l与椭圆交于M,N两点(直线l与x轴不重合),设直线AM,BN的斜率分别为k1,k2,判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
您最近一年使用:0次
2021-01-29更新
|
1817次组卷
|
3卷引用:重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题
重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题广东省深圳市光明区2020-2021学年高二上学期期末数学试题(已下线)专题4 齐次化妙解圆锥曲线问题 微点2 齐次化妙解圆锥曲线问题综合训练
4 . 若函数
有3个不同的零点,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0fad214fcf7177676371ec4ecb74dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
5 . 已知函数
.
(1)若
,讨论
的单调性;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2898459d7d710ebf758c8da36e48b62.png)
(1)若
![](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/a380067a20c25338eb0312e8df6c2760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
您最近一年使用:0次
2020-04-06更新
|
228次组卷
|
3卷引用:重庆市合川实验中学2021届高三上学期第一次月考数学(理)试题
6 . 已知函数
.
(1)若
有两个不同的极值点
,
,求实数
的取值范围;
(2)在(1)的条件下,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c4c965c5bbfad90aabbf9d2db40066.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)的条件下,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba33f1be4a5f51d7abdc5185392d79a2.png)
您最近一年使用:0次
2020-04-06更新
|
1297次组卷
|
8卷引用:重庆市合川实验中学2021届高三上学期第一次月考数学(理)试题
名校
7 . 已知函数
.
(1)若
,求证:
在区间
是增函数;
(2)设
,若对任意的
,恒有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0145c6588620a7301f14698c8837a93e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52767cb407873a34008a70a6f5111266.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6e28dbfcdd6fb66b9ff759be044287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09408ffff3b1e7a0fafbc8fafd229b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9157ac76812effa31cff2d83bd300f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-12-16更新
|
372次组卷
|
2卷引用:重庆市合川实验中学2021届高三上学期期中数学(理)试题
名校
8 . 已知
,函数
在点
处与
轴相切
(1)求
的值,并求
的单调区间;
(2)当
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7b93f38a85bc1c6dc9b2e3cfd5903e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795d7ca8be1d50c23c3e73874702679e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ce6a940d36f3298282b86057c64fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-08-10更新
|
1291次组卷
|
4卷引用:【全国校级联考】重庆市合川区高2018届高三下5月模拟理科数学试题
名校
9 . 已知函数
(
为常数).
(1)讨论函数
的单调性;
(2)当
时,设
的两个极值点
,(
)恰为
的零点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31072d632d6bf9434d13ddfdedf84dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cbaed0638e7688e70e1465830bcc087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6d30db9fa5289a1ef1d87a17b90c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860a711d8113cb24458cb7103c210eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8d801ec10cb6fea3c0821ef773855c.png)
您最近一年使用:0次
2016-12-04更新
|
1299次组卷
|
9卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(文)数学试题