2014·湖南怀化·二模
1 . 如图,椭圆
的长轴长为
,点
、
、
为椭圆上的三个点,
为椭圆的右端点,
过中心
,且
,
.
![](https://img.xkw.com/dksih/QBM/2014/6/3/1571749050974208/1571749056856064/STEM/aa990d5460e143d597725fc1f1443f44.png)
(1)求椭圆的标准方程;
(2)设
、
是椭圆上位于直线
同侧的两个动点(异于
、
),且满足
,试讨论直线
与直线
斜率之间的关系,并求证直线
的斜率为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c8525a7c1b700128cf34e28a5a50c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1136baa1259358a8569f3d50a259ab59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e774156aee9ca35e5c95411301557ac2.png)
![](https://img.xkw.com/dksih/QBM/2014/6/3/1571749050974208/1571749056856064/STEM/aa990d5460e143d597725fc1f1443f44.png)
(1)求椭圆的标准方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2303997a297935839da8bc070bc3c3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
2016-12-03更新
|
1916次组卷
|
6卷引用:贵州省铜仁市石阡县民族中学2023届高三上学期期末联考数学模拟试题
2014·陕西·模拟预测
名校
解题方法
2 . 已知函数
.
(1)试判断函数
的单调性;
(2)设
,求
在
上的最大值;
(3)试证明:对任意
,不等式
都成立(其中
是自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb22a3be54684a8fd9c7fd21c432fca4.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6179ae6bab235331b4ef2a917f165ef.png)
(3)试证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69994a493ffd50c56413463476d3cf11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
您最近一年使用:0次
14-15高二上·贵州遵义·期末
3 . 已知
(
).求:
(1)若
,求
的值域为[-2,2],并写出
的单调递增区间;
(2)若
,求
的值域.
![](https://img.xkw.com/dksih/QBM/2014/7/23/1571822255906816/1571822261641216/STEM/99eea16baa9f4710bee3a6e2a952265e.png)
![](https://img.xkw.com/dksih/QBM/2014/7/23/1571822255906816/1571822261641216/STEM/08c613351b1040ffae559a0f8c0c494b.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2014/7/23/1571822255906816/1571822261641216/STEM/08c613351b1040ffae559a0f8c0c494b.png)
![](https://img.xkw.com/dksih/QBM/2014/7/23/1571822255906816/1571822261641216/STEM/d7b3c89851f14779aa5675881ddfca5b.png)
![](https://img.xkw.com/dksih/QBM/2014/7/23/1571822255906816/1571822261641216/STEM/d7b3c89851f14779aa5675881ddfca5b.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2014/7/23/1571822255906816/1571822261641216/STEM/56ac63d5f07041e5b286bc58ef14c667.png)
![](https://img.xkw.com/dksih/QBM/2014/7/23/1571822255906816/1571822261641216/STEM/d7b3c89851f14779aa5675881ddfca5b.png)
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2010·黑龙江哈尔滨·一模
4 . 选修4-1:几何证明选讲
如图,已知
点在⊙
直径的延长线上,
切⊙
于
点,
是
的平分线,且交
于
点,交
于
点.
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/f064c53e1030482cada14b5002913cf0.png)
(1)求
的度数;
(2)若
,求
.
如图,已知
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/c9b96029815b4fee956f1dd14b16c519.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/c195da6c33724175ad833081f8b6c367.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/658f5ce6c1c24beb9ee7d0862af41c9a.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/c195da6c33724175ad833081f8b6c367.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/86e450de1d844ab085556f65f163d0bb.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/3b024db94d38400ab4778285d6a147ed.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/6636f6ff0f0e4d44b6f35a63393fc31d.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/babf31d6a39c44ffb64ca8294ab0d531.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/3f2d4c92974d4a60b3adeefacffd3664.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/4b016ec3d5b544bdbe4990ea634529a5.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/2140925fcb9a4e16937624eb1dfe90f1.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/f064c53e1030482cada14b5002913cf0.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/0c51a0a5c8ab4cec8af8be1657b0c9b4.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/58bb7d54d6444190b394bbcc7be1aaeb.png)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1569692868911104/1569693001334784/STEM/f394ef40aaa64bbf9bba63b22333024d.png)
您最近一年使用:0次
2016-12-03更新
|
811次组卷
|
6卷引用:2015届贵州省贵阳市普通高中高三上学期期末监测考试理科数学试卷
2015届贵州省贵阳市普通高中高三上学期期末监测考试理科数学试卷2015届贵州省贵阳市普通高中高三上学期期末监测考试文科数学试卷2016届黑龙江省哈尔滨市六中高三上期末理科数学试卷(已下线)黑龙江省哈尔滨市第六中学2010届高三一模数学(理)试题(已下线)黑龙江省哈尔滨市第六中学2010届高三一模数学(文)试题2015届黑龙江省哈尔滨六中高三下学期第三次模拟理科数学试卷