13-14高二下·云南大理·期末
解题方法
1 . 已知椭圆
的长轴长是短轴长的两倍,焦距为
.
(1)求椭圆
的标准方程;
(2)设不过原点
的直线
与椭圆
交于两点
、
,且直线
的斜率依次成等比数列,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设不过原点
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d81e42001b5d929e325fa0c801b7242c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
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12-13高二下·云南玉溪·期末
2 . 已知二次函数
的导数
,且
的值域为
,则
的最小值为
![](https://img.xkw.com/dksih/QBM/2014/2/20/1571516538667008/1571516544180224/STEM/1b9fd8ffa2254d0cb964603947191c90.png)
![](https://img.xkw.com/dksih/QBM/2014/2/20/1571516538667008/1571516544180224/STEM/d4e03f2512c340c696d451781923946f.png)
![](https://img.xkw.com/dksih/QBM/2014/2/20/1571516538667008/1571516544180224/STEM/299495a403034621abb690a7eef25c50.png)
![](https://img.xkw.com/dksih/QBM/2014/2/20/1571516538667008/1571516544180224/STEM/1b111a0e0caa4883a00321033ea0de0b.png)
![](https://img.xkw.com/dksih/QBM/2014/2/20/1571516538667008/1571516544180224/STEM/ddd9fa00c5f64f06ad8c70f196fa981c.png)
A.3 | B.![]() | C.2 | D.![]() |
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2010·北京石景山·一模
3 . 已知函数
,在点
处的切线方程为
.
(I)求函数
的解析式;
(II)若对于区间
上任意两个自变量的值
,都有
,求实数
的最小值;
(III)若过点
,可作曲线
的三条切线,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/f5259d3bc6004ff290a02bb953f408b2.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/88e53859d9b04560a2e570309de9fdf2.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/6ec791d412e84be6a1aeb24b043ec0a1.png)
(I)求函数
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/59ba723dae9e449488ece8de44d19ad4.png)
(II)若对于区间
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/8778eaf09b8b496a8d6aa9b425ca55cc.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/257f8c0407de4db9a438b5d9f1042c3a.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/12ba0c1edb804e8b9d220060fa0ed7a2.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/7c03731a8f154cff87116c41ad6af005.png)
(III)若过点
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/ed8874c966174811bf45dfb2d8fa9968.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/35a415d8fbdf407fa1915bd0c6266850.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/3c309915972648f9812943656f40f5b5.png)
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4 . 已知点
,直线
为平面上的动点,过点
作直线
的垂线,垂足为
,且
·
=
·
.
(1)求动点
的轨迹
的方程;
(2)已知圆
过定点
,圆心
在轨迹
上运动,且圆
与
轴交于
两点,设
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2347bec7975dab2b8bce2fd19b1237d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676e55dc8f8769f1a7e214e3cd8eab81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d47a601283aae8ccaa29d3aa1c0c77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d83cb9634864c11ea3849d9fc29505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470f667881cdb18fbb6f329ec5d87c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8369ccf21f377bd0d5d5e3bef091df.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b1fb09b447a2a1d6e9e4702d695b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba4c22ff5bb2d1105a68d987ca26da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cadb9bb7bdb378e63a768eddd9e28cc.png)
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10-11高三·河北保定·阶段练习
名校
5 . 已知函数
(其中常数
).
(1)求函数
的定义域及单调区间;
(2)若存在实数
,使得不等式
成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df405e84d54042be1bfb357e8e4bad83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da017fab160b5016c3e9ab8c871fde4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8450d9e13cbf90a6050fb300741b661a.png)
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2016-11-30更新
|
1298次组卷
|
8卷引用:云南省丽江市2019-2020学年高二下学期期末数学(文)试题
云南省丽江市2019-2020学年高二下学期期末数学(文)试题云南省丽江市2019-2020学年高二下学期期末数学(理)试题(已下线)2011届河北省徐水一中高三年级第四次月考数学理卷(已下线)2011-2012学年陕西省宝鸡中学高二下学期期中考试理科数学试卷2015届北京市第六十六中学高三上学期期中考试理科数学试卷2015届北京市第六十六中学高三上学期期中考试文科数学试卷【校级联考】辽宁省沈阳市郊联体2019届高三第一次模拟考试(文)数学试题湖北省宜昌市部分示范高中教学协作体2019-2020高三9月月考数学(理)试题
10-11高一下·广东佛山·期末
名校
6 . 已知数列
满足
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64d5b1d831630334e494c39d0343872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a69c59b22bbb875d664b23ae641e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77288bfa684c2a9ca00c75743232a0e3.png)
A.8 | B.7 | C.6 | D.5 |
您最近一年使用:0次
2016-11-30更新
|
1652次组卷
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8卷引用:云南省曲靖市罗平县第二中学2019-2020学年高一下学期期末考试数学试题
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