解题方法
1 . 已知函数
.
(1)若f(1)=2,求a的值;
(2)若存在两个不相等的正实数
,满足
,证明:
①
;
②
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa6627e7ce98c5ffb61457de3b3525c.png)
(1)若f(1)=2,求a的值;
(2)若存在两个不相等的正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2037b0bad7c7a312bac1ac0653d9a491.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4b02af22df6e2227efd38c77deba1e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b082285a9dbb8ae0f2def2cdc59e740.png)
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2022-01-19更新
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6卷引用:2022年1月浙江省普通高中学业水平考试数学试题
2022年1月浙江省普通高中学业水平考试数学试题(已下线)专题3-7 导数压轴大题归类:不等式证明归类(2)-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)(已下线)专题05 极值点偏移问题与拐点偏移问题(已下线)专题05 极值点偏移问题与拐点偏移问题-2专题03E函数解答题(已下线)重难点突破05 极值点偏移问题与拐点偏移问题(七大题型)-2
名校
2 . 已知椭圆
的一个顶点为抛物线
的焦点,点
在椭圆
上且
,
关于原点
的对称点为
,过
作
的垂线交椭圆于另一点
,连
交
轴于
.
(1)求椭圆
的方程;
(2)求证:
轴;
(3)记
的面积为
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6b146e6f1d0a3ca605c7cf26272228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b2da131e958f5a045dd3d5b0c68130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e4b0ddfa5aec71d6df83e574b56150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3a3db6d96518255f96ad7fc1ac98f4.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1addaf4de4d91f3553f7d0e5579fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ee2f999d11165c87e83c8862a35bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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2020-03-13更新
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2卷引用:2019届黑龙江省学业水平考试数学(理科)试卷
解题方法
3 . 已知函数
,
,
.
(Ⅰ)讨论
的单调性;
(Ⅱ)若
的最大值为
,
存在最小值
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b293ba9c4fcffc09bae870441e442fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc61f22d4852d7d0831b991f6d3556e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65cc39d12bb5794931b8bdcda3265ca.png)
(Ⅰ)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86135bd40536042536c1c7bed21d0171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6208895c0e3f31fcc437d2dfc5d18b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba00d1e252590c651fa39df7b00adf9.png)
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2016-12-04更新
|
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2卷引用:2016年内蒙古包头市高三学业水平测试与评估(二)数学理试卷