名校
解题方法
1 . 设正实数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-02-03更新
|
793次组卷
|
6卷引用:安徽省马鞍山市劲松学校2023-2024学年高一下学期开学考试数学试题
安徽省马鞍山市劲松学校2023-2024学年高一下学期开学考试数学试题湖南省长沙市长郡中学2023-2024学年高一上学期期末考试数学试题(已下线)2.2基本不等式(第1课时)湖北省黄冈大光华高级中学2023-2024学年高一下学期第二次半月考数学试卷山西省大同市第一中学校2023-2024学年高一下学期3月月考数学试题(已下线)微考点1-1 新高考新试卷结构中不等式压轴4大考点总结
名校
解题方法
2 . 已知正实数x,y,z满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a29c80b157273fa7d9006b08a42fbb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-31更新
|
327次组卷
|
2卷引用:安徽省阜阳市2023-2024学年高一上学期期末联考数学试卷
名校
解题方法
3 . 已知
,求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7561672145e37fe20547e2f24baff6a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2129e8ec4f374ae282fb9785461a64c7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978d9541cfb6588638b1b371db89248d.png)
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解题方法
4 . (1)已知
,
,且
,证明:
;
(2)若a,b,c是三角形的三边,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fbf630427da7e2520a3318e9483a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0f82308e68c05f6aa165912589ca50.png)
(2)若a,b,c是三角形的三边,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01721633154e61aa2650bf0b8b10e666.png)
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解题方法
5 . 已知
,
,
均为正实数.
(1)若
,试比较
与
的大小;
(2)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)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47cb00f84ca1d6d0407715df94ca6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79e143337059a41d7069bdb7d9ed756.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f509e6890eb2dfec7eb614271fefd6b5.png)
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名校
解题方法
6 . 已知
是实数,且满足
,证明下列命题:
(1)“
”是“
”的充要条件;
(2)“
”是“
”的充分条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
(1)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7191888571b035030e43e1ff327117b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33ac81a1325ac63e1c01968f35773be.png)
(2)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443f04296cad09431991ebdb23034c92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac83c4567e80668310da59a64e0478a.png)
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2023-11-22更新
|
144次组卷
|
3卷引用:安徽省阜阳市临泉第一中学等鼎尖教育2023-2024学年高一上学期11月联考数学试题
安徽省阜阳市临泉第一中学等鼎尖教育2023-2024学年高一上学期11月联考数学试题重庆市部分学校2023-2024学年高一上学期期中数学试题(已下线)1.2常见逻辑用语(高三一轮)【同步课时提升卷】
名校
解题方法
7 . (1)比较
与
的大小;
(2)已知
为不全相等的正实数,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375fff2f7742a0010332e9f7add47f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30cf2063e96e2fec6c509dce6cad6fec.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f0514c4015765d1b12b76f4df81215.png)
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解题方法
8 . 已知
是正实数.
(1)证明:
;
(2)若
,证明:
.
(3)已知
是正数,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98a3635df1a3c8258cd54ed816d9544.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483e8298320b2fe64e3b2dbe845ad115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c533a32a305a8489ded77257f8719c.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e64a8e8e9b6c2f1f4e3fd1829b71eec.png)
您最近一年使用:0次
名校
解题方法
9 . 下列推导过程中,正确的有_______ .(填写序号)①若
,则
,
的最小值为2;②若
,则
;③若
,
,则
;④若对
,
恒成立,则
的取值范围是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade84ca43740d9174b611eb55881b2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f40c24c64bbb0645fcf585f4e66872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a6d6b4609450e4b80bb37a5ecc8926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0d6209361e6b57c5cf7b2c943030e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489204d9809807249c362ad3961a3180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4cf27adb9c7f35a24b227feae53dbc.png)
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名校
解题方法
10 . (1)已知
,且
,求证,
.
(2)若
,求证:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a0aa068c979c53361d049ce49987a8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353a0504082335c98b71653317beabbe.png)
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