解题方法
1 . (1)已知
,
,求
,
的取值范围
(2)已知
,且
,
,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab09b7f7bc95b5f294ef8d0826ff436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44040b6eb41b711bca46c9d8f4c7e044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754826457671db8939098215943e656a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3211291bd08c67e49809036416e46a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8201ff29a2091d40eee10db6bbc1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ee8a678f431a14c7c6c1a6088d057c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46950cf924aff835a6aa4bf477c27b24.png)
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解题方法
2 . 已知
.
(1)比较
与
的大小.
(2)试问“
”是“
”的什么条件?说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece695dd915ffe74c1e3c7f1dc1bd89d.png)
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)试问“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d229cbec798c9c278a9b5979cb38247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069390dd908ff203327958117a226593.png)
您最近一年使用:0次
名校
解题方法
3 . 比较下列式子大小
(1)
与![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1694d32baecc3624b3ded96f7c1156.png)
(2)若
,
与
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98d0c8e5ef195aed995d2ec98f81de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1694d32baecc3624b3ded96f7c1156.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5842f47b99932df68efbb64eb847e956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dd6be6008dcc9de3bcdbdc486e5ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f49a2a7846d996407a3a6d802b65e48.png)
您最近一年使用:0次
2023-10-22更新
|
98次组卷
|
2卷引用:重庆市松树桥中学校2023-2024学年高一上学期第一次月考数学试题
名校
4 . (1)已知
,
,求
,
的取值范围
(2)已知
,且
,
,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab09b7f7bc95b5f294ef8d0826ff436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44040b6eb41b711bca46c9d8f4c7e044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754826457671db8939098215943e656a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959c0330d181b934da51a1a316e1381e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3211291bd08c67e49809036416e46a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8201ff29a2091d40eee10db6bbc1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ee8a678f431a14c7c6c1a6088d057c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46950cf924aff835a6aa4bf477c27b24.png)
您最近一年使用:0次
2023-10-17更新
|
246次组卷
|
5卷引用:重庆市第十一中学校2023-2024学年高一上学期10月月考数学试题
重庆市第十一中学校2023-2024学年高一上学期10月月考数学试题新疆英吉沙县实验中学2024届高三上学期期中考试复习数学试题(四)广东省江门市广雅中学2023-2024学年高一上学期期中考试数学试题(B卷)(已下线)2.1等式性质与不等式性质【第三练】(已下线)考点6 等式性质与不等式性质 --2024届高考数学考点总动员【讲】
5 . 若实数
满足
,则称
比
远离
.
(1)若
比
远离1,求实数
的取值范围;
(2)若
,试问:
与
哪一个更远离
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32d4403d0e81eacfbe429dc51f07f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b782dd2de9c9caa840838cd63d817de.png)
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384644d7bf34625fd3af5083436f5e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
6 . 解答下列各题.
(1)已知
,试比较
与
的大小;
(2)设
均为正数,且
,证明:
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444b88d2de0c2e06f5efae2578e3ef8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef758c8f9983a4dacaaa1eed75ad455.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09fc94ae8293ad1de55d2990502588e.png)
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名校
解题方法
7 . 回答下列问题:
(1)集合
,且
. 求集合
.
(2)
,比较
与
的大小关系.
(1)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925256759248f0a777f7843a884ece24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5f7909388d2e6bbd9110fc443fed65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10aad5253cc0251dccbbefdd3c8bba6c.png)
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解题方法
8 .
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
|
60次组卷
|
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
2022高一·全国·专题练习
名校
解题方法
9 . 现有
,
,
,
四个长方体容器,
,
的底面积均为
,高分别为
,
;
,
的底面积均为
,高分别为
,
(其中
.现规定一种两人的游戏规则:每人从四种容器中取两个盛水,盛水多者为胜.问先取者在未能确定
与
大小的情况下有没有必胜的方案?若有的话,有几种?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a476588acbf41d798cc234a52fa21a8.png)
![](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/6ba1bbdf917a33e7c0e39e3b6a7af78e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
.
(1)比较
与
的大小;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9956fe38551ec20eb5bae1bdadc7b7.png)
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1a0095ffcb865acdf40a6b03cc6b27.png)
您最近一年使用:0次
2023-02-13更新
|
165次组卷
|
3卷引用:重庆市松树桥中学校2023-2024学年高一上学期第一次月考数学试题