名校
1 . 已知函数
.(
是常数,且(
)
(Ⅰ)求函数
的单调区间;
(Ⅱ)当
在
处取得极值时,若关于
的方程
在
上恰有两个不相等的实数根,求实数
的取值范围;
(Ⅲ)求证:当
时
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d1a639296a915e708e66d3fe522ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df9fef274943ea04963784506e7f386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679353e656a54993c041ebd39ec7b31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb28073ca65dfeacb3a00e414588a193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fc2a57bfcfcd50f6bbda511d878057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(Ⅲ)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb97e953dc5b2c48e8bea608d4464987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7ba44917866f38fdb73b5cf95f1af1.png)
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2018-05-07更新
|
994次组卷
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2卷引用:【全国市级联考】贵州省贵阳市2018年高三适应性考试(二)(理数)
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a954639d86801baaeb33802b1d333a4b.png)
(Ⅰ)若
,求曲线
在点
处的切线方程;
(Ⅱ)若
在
上恒成立,求实数
的取值范围;
(Ⅲ)若数列
的前
项和
,
,求证:数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a954639d86801baaeb33802b1d333a4b.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829ac3e8758bcf4510604c0021c6e8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)若数列
![](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/c85da54867a6c35bcf558aa103781221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bc42bcdbfb400d62a63c10cd699d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8754a5d7608dd46faa44a51f1861830.png)
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2018-04-05更新
|
1051次组卷
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5卷引用:贵州省凯里市第一中学2018届高三下学期《黄金卷》第二套模拟考试数学(理)试题
名校
解题方法
3 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acb7a9a20f1742372235700600c7862.png)
(Ⅰ)当
时,求函数
的单调递减区间;
(Ⅱ)若
时,关于
的不等式
恒成立,求实数
的取值范围;
(Ⅲ)若数列
满足
,
,记
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acb7a9a20f1742372235700600c7862.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab42740d8f095b5f7825d14c4c312096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b0933a5e3b755d257e5d7216b77c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced4e381e8c3336848b8c436dbc584f3.png)
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f644ac3aaf5a4d9e4f6f551e54dfbbd.png)
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2018-04-05更新
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700次组卷
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3卷引用:贵州省凯里市第一中学2018届高三下学期《黄金卷》第二套模拟考试数学(文)试题
4 . 已知函数
,函数
有4个零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918ec7e30065382edd1495dfe817b4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8af41b6cd7724a1b4a66408db476cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-04-05更新
|
986次组卷
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3卷引用:贵州省凯里市第一中学2018届高三下学期《黄金卷》第二套模拟考试数学(文)试题
名校
5 . 已知函数
.
(Ⅰ)讨论函数
的单调性;
(Ⅱ)若
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525fa81dfc67a11711d437abb0342ccb.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c09a7af198eef71f6a0b6f348fc721.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9ff3f2dd86901b394b9e051f7e859a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2018-03-28更新
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4卷引用:贵州省凯里一中2019-2020高三3月模拟(入学诊断)数学(理科)试题
2012·河北石家庄·一模
名校
6 . 已知函数
,
.
(1)讨论函数
的单调性;
(2)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99302b332b5dcb713e8b6b9e4da7e411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c299ada824e1bbbc2abc565f1b19aab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2018-02-08更新
|
2275次组卷
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19卷引用:2013届贵州省湄潭中学高三上学期期末考试理科数学试卷
(已下线)2013届贵州省湄潭中学高三上学期期末考试理科数学试卷(已下线)2013届贵州省凯里一中高三第一次考试理科数学试卷(已下线)2012届河北省石家庄市高中毕业班教学质量检测理科数学(已下线)2014届辽宁省沈阳二中高三上学期期中考试理科数学试卷(已下线)2014届辽宁省沈阳二中高三上学期期中考试文科数学试卷山东省师范大学附属中学2017-2018学年高二上学期第六次学分认定(期末)考试数学(理)试题湖南省长沙市第一中学、株洲二中等湘东七校2019-2020学年高三上学期12月月考数学(文)试题甘肃省天水市秦州区第一中学2019-2020学年高二上学期期末数学(理)试题2018届湖南省怀化市高三第二次模拟数学(文)试题江西省都昌一中2019-2020学年高二下学期期中考试线上(理科)数学试题甘肃省天水市第一中学2019-2020学年高二上学期第三次学段(期末)考试数学(理)试题河南省平顶山市鲁山县第一高级中学2019-2020学年高二4月月考数学(理科)试题四川省棠湖中学2019-2020学年高二下学期第四学月考试数学(理)试题黑龙江省鹤岗市第一中学2019-2020学年高二下学期期末考试数学(文)试题广东省惠州市惠州中学2021届高三上学期12月月考数学试题江西省抚州市金溪县第一中学2021-2022学年高二下学期第二次月考数学(理)试题吉林省延边朝鲜族自治州延吉市延边第二中学2022-2023学年高二下学期期中数学试题吉林省长春市第六中学2023-2024学年高二下学期第二学程考试(5月)数学试题湖北省荆州市沙市中学2023-2024学年高二下学期6月月考数学试题
名校
7 . 已知函数
(a∈R).
(Ⅰ)讨论
的单调性;
(Ⅱ)若
. 证明:当
,且
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6549c512bb7e2fea70c52d65664d175a.png)
(Ⅰ)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45541c3d94ab715e713ba1c2db59c5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72120311e5ee5b259439c87d5e9d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1847f135efbae0e45b3edfa7f74b95.png)
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2018-01-19更新
|
881次组卷
|
4卷引用:贵州省遵义市第十八中学2021届高三年级第二次月考文科数学试题
名校
8 . 已知函数
,
.
(1)若
,求
的单调区间;
(2)若对任意的
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b05b64d4400fcabe0607aed89ba900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b7d285ff2cb5cd1c6a4467b87b5fa9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意的
![](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/710fe57b92bb3c8b64e1600191dcf80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2959a581712a4384689cc98e724effa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次
名校
解题方法
9 . 设
,
.
(1)求
在
处的切线方程;
(2)令
,求
的单调区间;
(3)若任意
且
,都有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03787d960a923b1d980edd67750eee4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92dac50074dcfad46997b537c7cf3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
(3)若任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b015c5de7880eebc4f5d7d02755ce4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2210f152080d9a68a97c805f5c1cde96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33ef5bdba9a82cf5b59b44c8b9c8ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2018-01-14更新
|
370次组卷
|
4卷引用:2017届贵州省贵阳市高三2月适应性考试(一)数学理试卷
解题方法
10 . 已知函数
.
(1)求
的单调区间;
(2)若
,都有
,求实数
的取值范围;
(3)证明:
且
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e9a2215778fa570c7e90cb406f4e5b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e81b4aac721bcd4a49593b48a28a8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8932999f3efb83ee09f9ab6cd7696e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
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