名校
1 . 已知正实数
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a45a8f7e1f5a661c006901457f1c424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ff375dbd6883dc6bfadf3e6997ff63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2 . (1)已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8690c5b4f4e2f9f13e2a94da1a688ecf.png)
______ ;
(2)若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b059c195ed8806d208984e89f400692.png)
______ ;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf6266593c04e6cc80b462da609828.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8690c5b4f4e2f9f13e2a94da1a688ecf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb39c8e18752c1348b067e83b3022e46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8504e8973f9af7a594d199e1eca01ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b059c195ed8806d208984e89f400692.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf6266593c04e6cc80b462da609828.png)
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名校
解题方法
3 . 已知
,
,若
,则
的最小值为__________
![](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/254aebe3ef7eabdf41e46c1cd857c705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df852e5c8d439fbf69f83fa9e080a638.png)
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4 . 已知
(
且
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81ade5cba63dff18d65b24280611824.png)
_________ .(结果用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805a0a65d8120873f0a9a22bcff2d399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6027c04510bd896d5106eab149f31b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81ade5cba63dff18d65b24280611824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070c85abc0c7a798f5100c04a7adc35d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070c85abc0c7a798f5100c04a7adc35d.png)
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6 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727088002886910f1b8bff4492c8f453.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fa0035770a41d223aadf0a1c5e186b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727088002886910f1b8bff4492c8f453.png)
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7 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecf7f87d69b67bed0df245c5e9823d3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecf7f87d69b67bed0df245c5e9823d3.png)
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解题方法
8 . 已知
是奇函数,且当
时,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47632184f2dab4bc9e1fc9770819cc83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed265a305b394b1dc591f023c8569433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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名校
9 . 函数
(
,且
)恒过的定点是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2070abf71953a1b5a7be4240879ce68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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2024-02-05更新
|
389次组卷
|
4卷引用:山东省济宁市2023-2024学年高一上学期期末质量检测数学试题
10 . 借助信息技术计算
的值,我们发现当
时
的底数越来越小,而指数越来越大,随着
越来越大,
会无限趋近于
(
是自然对数的底数).根据以上知识判断,当
越来越大时,
会趋近于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d285a6a3ca6b2b04d5397183436b5b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62dbd49de67f043222d84023bbc870fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f779c42398b1158faa9f9124ed13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f779c42398b1158faa9f9124ed13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda3a356637a488a68626a6427b34a43.png)
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