解题方法
1 .
糖水中含有
糖,若再添加
糖(其中
),生活常识告诉我们:添加的糖完全溶解后,糖水会更甜.根据这个生活常识,你能提炼出一个不等式吗?试给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26db2ba1a20483f21f4551ee4f024f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4352384d696d4bea86914323f4561d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2839495501bff1253bde58c09a3fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae41b4ea7f44a8699f108def4a22ac9.png)
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2023-10-02更新
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2卷引用:重庆市名校联盟2023-2024学年高一上学期期中联考数学试题
2 . 已知
.
(1)试比较a与b的大小,并证明你的结论;
(2)求证:对任意正数x,y以a,b,c为三边可构成三角形的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eccdb75ef09710f647f0c63ebe14830.png)
(1)试比较a与b的大小,并证明你的结论;
(2)求证:对任意正数x,y以a,b,c为三边可构成三角形的充要条件是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7564582f840149d802de3adf3a1ae67b.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
,
.
(1)若
,求
的最小值;
(2)求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce460941cf3ff54ccb6aec5085689a91.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead56bb8f5e7a72e9f8640e795caf68d.png)
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2020-09-20更新
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2卷引用:重庆市南开中学2020届高三下学期第九次教学质量检测数学(理)试题
名校
4 . 已知函数
,
.
(Ⅰ)讨论
的单调性;
(Ⅱ)若
存在极值点
且
,求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21baf8f1d43c1f3747a1be2b3cd68b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3e3bcd67cf1a355986c6e3132470c7.png)
(Ⅰ)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c7e00a742229216ae22f20e326f49e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0bf721eb15518d5dc73d36c342c7e5.png)
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2020-09-20更新
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2卷引用:重庆市第八中学2020届高三下学期第五次月考数学(文)试题
5 . (1)已知
,比较
与
的大小.
(2)已知
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1877e5f542281fe362c025d1b26bf46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f77080e3e42298d09fb2bf199cd7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6933572874f9bf5d1e2dae8b147fc651.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595e7451cd2e6a5b129517a807262034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d91e7b0d6ef8db20d01552b1d5469b.png)
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2020-02-04更新
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2卷引用:重庆市缙云教育联盟2023-2024学年高一上学期12月月考数学试题
名校
6 . 设
.
(1)当a=2时,求不等式
的解集;
(2)若a>0,b>0,c>0且ab+bc+ac=1,求证:当x
R时,f(x)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339393e96f196c1d26fb0ab7738a68a1.png)
(1)当a=2时,求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e799e937076aa5a7dcd51cdc0f40f6b0.png)
(2)若a>0,b>0,c>0且ab+bc+ac=1,求证:当x
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774c7cfdc6243117f571a88b997e4b8.png)
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2018-04-11更新
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2卷引用:重庆市巴蜀中学2018届高三适应性月考(七)数学(文)试题
真题
解题方法
7 . 已知各项均为正数的数列{
}的前n项和满足
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2601e41c06e1603f21c7995b4bb7f051.png)
(1)求{
}的通项公式;
(2)设数列{
}满足
,并记
为{
}的前n项和,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ab3ad3eab551995ffba49295b21247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2601e41c06e1603f21c7995b4bb7f051.png)
(1)求{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a184a2c27de2c7e013dff54a9c9d657c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87820fb0305b20e21e5f8579bcd673c.png)
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