名校
解题方法
1 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/b62d7750-5bd3-428d-8f8f-2be12c0a7c09.png?resizew=243)
(1)画出f(x)的图象,并写出
的解集;
(2)令f(x)的最小值为T,正数a,b满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fae2a874cbb5f6bb6d45f2e08a592c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/b62d7750-5bd3-428d-8f8f-2be12c0a7c09.png?resizew=243)
(1)画出f(x)的图象,并写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b45f8224a638bb503ccb01749cfeb1.png)
(2)令f(x)的最小值为T,正数a,b满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d069a600152af92a7fada66aa91138a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c1c7e7fd9c7700ee49b0cd788227a.png)
您最近一年使用:0次
2023-05-08更新
|
403次组卷
|
5卷引用:四川省乐山市2023届高三三模理科数学试题
2 . 已知函数
的最小值为m.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/3430c480-9798-436d-bc54-1f85070a5444.png?resizew=184)
(1)在直角坐标系中画出
的图象,并求出m的值;
(2)a,b,c均为正数,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888ec07597dd4d063967533188dc6008.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/3430c480-9798-436d-bc54-1f85070a5444.png?resizew=184)
(1)在直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)a,b,c均为正数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1740fbb4536c799eb1aa189d22df659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840c694fa36209a0ae2ce9414b7302d0.png)
您最近一年使用:0次
2023-02-23更新
|
184次组卷
|
2卷引用:河南省普高联考2022-2023学年高三下学期测评(四)理科数学试题
3 . 椭圆规是画椭圆的一种工具,如图1所示,在十字形滑槽上各有一个活动滑标
,
,有一根旋杆将两个滑标连成一体,
,
为旋杆上的一点,且在
,
两点之间,且
,当滑标
在滑槽
内做往复运动,滑标
在滑槽
内随之运动时,将笔尖放置于
处可画出椭圆,记该椭圆为
.如图2所示,设
与
交于点
,以
所在的直线为
轴,以
所在的直线为
轴,建立平面直角坐标系.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/984b7dca-155d-4a64-bdc0-4cda2a5f53c3.png?resizew=463)
(1)求椭圆
的方程;
(2)设
,
是椭圆
的左、右顶点,点
为直线
上的动点,直线
,
分别交椭圆于
,
两点,求四边形
面积的最大值.
![](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/c4e00ad067ceaf3a8c0452e5cd52a506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/d17663aeb7b7594a6b3af7d1538bb750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/984b7dca-155d-4a64-bdc0-4cda2a5f53c3.png?resizew=463)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc48974114e23f5a801843710c7ae21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291477a8e77c83c84a6b834b732f7f37.png)
您最近一年使用:0次