1 . 已知函数
.
(1)当
时,求函数
的最值;
(2)当
时,对任意
都有
恒成立,求实数
的取值范围;
(3)当
时,设函数
,数列
满足
,
,求证:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bf237bc25fbccdcecf283914f593d7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4c5bf9fa3d57e82c95a2c864dc4f5d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7393fc425948d4261bb6c7d67f88e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bc469d80fe70be633424971e52a308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0070c5cbbb4d49fe5a089d6ef11031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91d982d1f2f1b9e7b6c0209137f6bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c615e21168a21d1579c1d58bf356a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbed44da9d004d961424facbaa63039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141f70325e88c0983c55a647ae22d737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
您最近一年使用:0次
2 . 已知椭圆
的焦距为
,设右焦点为
,过原点
的直线
与椭圆
交于
两点,线段
的中点为
,线段
的中点为
,且
.
(1)求弦
的长;
(2)当直线
的斜率
,且直线
时,
交椭圆于
,若点
在第一象限,求证:直线
与
轴围成一个等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea9f406b865d0f8496d7101a070c217.png)
(1)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a2a34b4317deffa40ba34e269c2b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b07f147dde2955a352dd58664508a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7e9d0e80d06d85627b9dca9e2aba1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5671fb25040a712a49e8c8148d67d300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2017-09-15更新
|
1897次组卷
|
2卷引用:陕西省西安市西北工业大学附属中学2017届高三下学期第七次模拟考试(理)数学试题
3 . 设函数
.
(1)若
是函数
的极值点,1为函数
的一个零点,求函数
在
上的最小值.
(2)当
时,函数
与
轴在
内有两个不同的交点,求
的取值范围.(其中e是自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e60f9365188790da5f4236ed51d924.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8d82b0a97f17f6fbd0587cdfc984e1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8d82b0a97f17f6fbd0587cdfc984e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
4 . 已知函数f(x)=(ax-1)ex,(a∈R).
(Ⅰ)讨论f(x)的单调性;
(Ⅱ)当m>n>0时,证明:men+n<nem+m.
(Ⅰ)讨论f(x)的单调性;
(Ⅱ)当m>n>0时,证明:men+n<nem+m.
您最近一年使用:0次
2017-04-11更新
|
1045次组卷
|
8卷引用:陕西省吴起高级中学2018届高三上学期期中考试数学(文)试题
陕西省吴起高级中学2018届高三上学期期中考试数学(文)试题2017届福建省高三4月单科质量检测数学文试卷河北省定州中学2017届高三下学期第二次月考(4月)数学试题湖南省岳阳市一中2018届高三上学期第一次月考数学(文)试题陕西省宝鸡中学2019届高三年级第二次模拟数学(文科)试题【市级联考】陕西省宝鸡市2019届高三高考模拟检测(二)数学(文科)试题安徽省阜阳市太和中学2021届高三下学期高考押题文科数学试题(已下线)专题3-6 导数压轴大题归类(1)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)
名校
5 . 已知三次函数
的导函数
且
,
.
(1)求
的极值;
(2)求证:对任意
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82880bc407089727994e8d6b1df0eacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc32c2bbc0a4ea29784c84bed56c07ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1fa6664ce9ffcac1e4b3a60f99a3ef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求证:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecaf15f775bd33cc59d4fb510c16977b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8c626afbc95213849e8f122d9b1a13.png)
您最近一年使用:0次
2017-03-20更新
|
1700次组卷
|
5卷引用:2017届陕西省咸阳市高三二模数学(理)试卷
2017届陕西省咸阳市高三二模数学(理)试卷陕西省咸阳市高新一中2020-2021学年高三上学期第四次考试理科数学试题(A卷)湖南省邵阳市武冈第二中学2019-2020学年高二下学期期末数学试题(已下线)专题04 三次函数的图象和性质-2(已下线)重难点突破04 三次函数的图象和性质 (七大题型)
名校
6 . 设函数
,曲线
过点
,且在点
处的切线方程为
.
(1)求
的值;
(2)证明:当
时,
;
(3)若当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d8ae7e2115b327e1d4c16750962497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ca76e2dd4d41b430614205e1001f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f976a1a28fc82af12dbd39ec8a8aab.png)
(3)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55117e3e82aa0bbbb3ac9242c001e929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-03-17更新
|
1708次组卷
|
7卷引用:2017届陕西省宝鸡市高三教学质量检测(一)数学(理)试卷
名校
7 . 已知函数
,
.
(Ⅰ)若
恒成立,求
的取值范围;
(Ⅱ)设
,
,(
为自然对数的底数).是否存在常数
,使
恒成立,若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1da9ecd898c6fb2b26d50482c87af8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30aa3954054926017cb81e5f2cd122b7.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282998037f9d66846141b92d0179e00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b7e6fdd7365593b043b9be47f785a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23304cc6740d030827d1229ce9125bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
解题方法
8 . 设
是定义在
上的奇函数,且对任意
,当
时,都有
.
(1)若
,试比较
与
的大小关系;
(2)若
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83eb829e3338a9e4be598124855685e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bc2eeaca8a8ce4bcce2bff011a11bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1d1045e68ab48ce8b2bbb695c8c90.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0937b0200a46ee5cdeb6256a0991615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c150fedd99f80d34cff3e7dc4418ddff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6995fc1ed2a61c4377be2019cbfd01b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1198e1f5033eb1780d1e98d36f93d58a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2017-02-16更新
|
645次组卷
|
2卷引用:2016-2017年陕西西藏民族学院附中高一12月考数学试卷
名校
9 . 已知函数
.
(1)当
时,求
的图象在
处的切线方程;
(2)若函数
在
上有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8941eab695de02feafc906710d9cb5f1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee0dbad6cc14eaf4d3b1a881ed9d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04aa747677d9487af811ab05ace65306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-04更新
|
991次组卷
|
6卷引用:陕西省宝鸡市金台区2016-2017学年高二下学期期末考试数学文试题