1 . 已知
、
、
都是正数,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a57e060f61f7efa54982bda67db483a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92cc51a967ab00e8d7eea3f7c46e337.png)
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2 . 已知x,y,z满足
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8816ecb8ca9b9460e7441e54cc300d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b234b9abbda544279144d470215322de.png)
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3 . 如图,在
中,
为
边上的高线.
为三角形内一点,由
向三角形三边作垂线,垂足分别为
,
,
,已知
,
,
,
依次构成公差为1的等差数列.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/b3b5eae2-36c0-4719-b27a-c137e5ebc98e.png?resizew=200)
(1)求
的面积;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa8299316c747f7e8c54ee2b073a17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9e36c5987d6730e846753e0552c7d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c178c9abab25de6a69a3d5b98c55bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/b3b5eae2-36c0-4719-b27a-c137e5ebc98e.png?resizew=200)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fce32bd941595be3880d48c16e0495.png)
您最近一年使用:0次
13-14高三下·江苏扬州·阶段练习
名校
解题方法
4 . 设
、
为正实数,且x+y=1.则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ec3acf0b1cb7bfe1b645b7f3ca4682.png)
您最近一年使用:0次
2018-12-06更新
|
296次组卷
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7卷引用:四川省达州外国语学校2023-2024学年高一上学期期中考试数学试题
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