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1 . 已知函数
的一条对称轴为
,当
时,
的最小值为
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1071279e959990b717cf5334f36d945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d9703ec5eee8074ba7fbe0e899b336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9db9373e74ecf5d63ad98afe66aa4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2024-04-01更新
|
1273次组卷
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3卷引用:山东省菏泽第一中学南京路校区2024届高三下学期开学考试数学试题
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2 . 已知展开式中常数项为280,则
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2024-03-26更新
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3卷引用:山东省菏泽第一中学人民路校区2024届高三下学期开学考试数学试题
3 . 过直线
上一点
作圆
的两条切线,切点分别为
,则线段
的长度的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c6719982da4310d486d76bd7b0b5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
4 . 在正三棱台
中,
、
,直线
与底面
所成的角为
,则该三棱台的体积为__________ ,该三棱台的外接球的表面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff6c9099d36b2bbd7f5a47531942de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
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5 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3007dbaaec60c1bbfd1e208b8080a01.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b903f300ae0900720f1ff6b5b814b7b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91dcaedfa7eca3e53a5375f014679a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb69f20f9dbdf6de15abba2afb10431c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3007dbaaec60c1bbfd1e208b8080a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b903f300ae0900720f1ff6b5b814b7b.png)
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2024-03-09更新
|
546次组卷
|
2卷引用:山东省菏泽第一中学八一路校区2024届高三下学期开学考试数学试题
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6 . 已知关于x的不等式
的解集为M,
且
,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66447080cf176c85196fc5ec317a97d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08048db0a4115538251553b85da3ddfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ae88b1b5f825b9824d59edccb908fa.png)
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2024-03-09更新
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519次组卷
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2卷引用:山东省菏泽第一中学八一路校区2024届高三下学期开学考试数学试题
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7 . 已知函数
的部分图象如图中实线所示,圆C与
图象交于M,N两点,且M在y轴上,则圆C的半径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14619fa57b9ced18c314a17844077348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2024-03-06更新
|
770次组卷
|
3卷引用:山东省菏泽第一中学人民路校区2024届高三下学期开学考试数学试题
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8 . 设
是双曲线
的右焦点,
为坐标原点,过
作
的一条渐近线的垂线,垂足为
,若
的内切圆与
轴切于点
,且
,则
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d028cebfbc0e84421b3fcfd09b1fa26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1dda6cc1affb91bb49756fa6a04459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2024-03-06更新
|
293次组卷
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2卷引用:山东省菏泽第一中学南京路校区2024届高三下学期开学考试数学试题
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9 . 已知函数
满足
,当
时,
,且
,则当
时,不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3170408d3830e3eecd4fc0ecf5aaffb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d226e4c214798d4feb89c52ea173a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488396900af10de0fa1e3c097faa09ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bc4940e7ec73df53a1e3afd671e3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d00b4f6404379c8c66301395fc45385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06faf7850806c705c3f808410d3c5f6.png)
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2024-03-04更新
|
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2卷引用:山东省济南第一中学等校2024届高三下学期阶段性检测(开学考试)数学试题
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10 . 已知椭圆的周长
,其中
分别椭圆的长半轴长与短半轴长.若椭圆
的焦距为
,且
的长半轴长与短半轴长均为正整数,则
的周长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a245220a45e9298a3730864e96a8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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