名校
1 . 不等式
的解集为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e81968793ed1b394b36ea950599cdf5.png)
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名校
2 . 已知
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c785ad47058eb2125253e0aa4ced2750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf490c4806005987640652a36f0b35ad.png)
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2024-06-09更新
|
770次组卷
|
2卷引用:江西省赣州市2023-2024学年高三下学期5月适应性考试数学试题
名校
3 . 已知正数
满足
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15bd315b801f71bc30b8d772098614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b530905506030968e3c192ae63d1294f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/704f858f73063183e5779257900e694d.png)
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名校
4 . 已知
,若对任意
,
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6665f58c63415e0a4aa3c94b30815218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
5 . 柯西不等式是数学家柯西(Cauchy)在研究数学分析中的“流数”问题时得到的一个重要不等式,而柯西不等式的二维形式是同学们可以利用向量工具得到的:已知向量
,
,由
得到
,当且仅当
时取等号.现已知
,
,
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c857eec21dd64ccf0ba530883bb6cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bcab0226effeccd2a336c23079bc1be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ec52de4dded0d72469acceca3f1549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1befdda5f9e5055b0d2ae58b1b4b201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab138a74db444886abc7fe18947f7a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90e8d5d7fed033f48270b1ff825fcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f448ab705ce98a0b1ab97863d0cbeda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bca19afee7ec7105293cbd7e96326a.png)
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2024-05-15更新
|
640次组卷
|
3卷引用:山西省天一名校2023-2024学年高三下学期联考仿真模拟(二模)数学试题
6 . 已知
,
,若
,则满足条件的
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52308f6b2864abcb460a629163c55e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba22d5c13dfa3c1ea0fce3795002f54a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70e82ac3992505949c2417e42577333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
7 . 不等式
的解集为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a27e985a23349d2da23a32ae2d5933.png)
您最近一年使用:0次
2024高三下·全国·专题练习
8 . 设a,
,若对任意
,都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdccb9db092c70837e49b581300a5b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a4880e9814f263356df6fa1d891668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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9 . 已知正数
满足
,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0bb6f4924da689308fba8721764457d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be09f336b632cd467e5b2aa4cd97155.png)
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2024高三·全国·专题练习
10 . 已知函数
,若对任意
,则所有满足条件的有序数对
是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63aaa178677e179fd17fb87877ccb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0849e7837ef4607c7a9d2d33ee2ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d8a34a28f2c13ea40d7ae90c752005.png)
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