1 . 已知曲线
上的点到点
的距离比它到直线
的距离小2.
(1)求曲线
的方程;
(2)曲线
在点
处的切线
与
轴交于点
.直线
分别与直线
及
轴交于点
,以
为直径作圆
,过点
作圆
的切线,切点为
,试探究:当点
在曲线
上运动(点
与原点不重合)时,线段
的长度是否发生变化?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6b27da5da992993b9bfe948efc604b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5421a28dc3675ae20190d6090793246e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3157d944f757c182d76bcd6f8eac076.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6b27da5da992993b9bfe948efc604b.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6b27da5da992993b9bfe948efc604b.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6b27da5da992993b9bfe948efc604b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2016-12-03更新
|
5597次组卷
|
4卷引用:2014年全国普通高等学校招生统一考试文科数学(福建卷)
2014年全国普通高等学校招生统一考试文科数学(福建卷)广东省茂名地区2019-2020学年高二上学期期末数学试题(已下线)专题26 求动点轨迹方程 微点2 定义法求动点的轨迹方程(已下线)专题24 解析几何解答题(文科)-2
真题
解题方法
2 . 已知函数
.
(1)求
的单调区间;
(2)记
在区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98e1d5a4afb954e1ae18774f6b19dbe.png)
上的最小值为
,令
.
如果对一切
,不等式
恒成立,求实数
的取值范围;
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a59de564461be1616f3bcc9cb23280.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98e1d5a4afb954e1ae18774f6b19dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d5fa85887816de29bcff4f143e3f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60be4bed57e32acf2311e25d57c10e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05620837db2a3247641d8676facadab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe13320e4757c1db83f60b52e852340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba6032621126e028e5f8bbd67d50d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93d9fd33ce6eaf449da94ef443790fd.png)
您最近一年使用:0次
2019-01-30更新
|
1541次组卷
|
2卷引用:2008年普通高等学校招生全国统一考试理科数学(福建卷)
真题
3 . 选修4—5:不等式选讲
已知定义在R上的函数
的最小值为
.
(I)求
的值;
(II)若
为正实数,且
,求证:
.
已知定义在R上的函数
![](https://img.xkw.com/dksih/QBM/2014/6/23/1578327182180352/1578327182901248/STEM/1829f265c5174f6db309ed73e25e7eb9.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1578327182180352/1578327182901248/STEM/f8924256564d493088b214be24db7a79.png)
(I)求
![](https://img.xkw.com/dksih/QBM/2014/6/23/1578327182180352/1578327182901248/STEM/f8924256564d493088b214be24db7a79.png)
(II)若
![](https://img.xkw.com/dksih/QBM/2014/6/23/1578327182180352/1578327182901248/STEM/cb82f58181524d41aae1af9ee8606825.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1578327182180352/1578327182901248/STEM/2c110ad6d66341798cd14d5b87a54b1c.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1578327182180352/1578327182901248/STEM/02a17e160e05477fb606e96e26d0f9eb.png)
您最近一年使用:0次