名校
解题方法
1 . 设集合
,则集合
的元素个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef227996d16320e5b48d244ef58cfa47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.1012 | B.1013 | C.2024 | D.2025 |
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名校
解题方法
2 . 在
中,
是边
的中点,
是线段
的中点.若
,
的面积为
,则
取最小值 时,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32220fd969663f42cd619f8cc8b355c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e6f0e94393fc6bbd9b4b83ede534ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc0de00cff352df72961a2a135a1125.png)
A.2 | B.![]() | C.6 | D.4 |
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2卷引用:江苏省连云港市灌云县第一中学2023-2024学年高一下学期5月期中考试数学试题
名校
解题方法
3 . 某工业园区有
、
、
共3个厂区,其中
,
,
,现计划在工业园区内选择
处建一仓库,若
,则
的最小值为( )
![](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/cd46f78d1641e1f10e38dc7864d6703b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf1ebaf51acdd9c790c17053cffb7d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3bfde4b7cbca10de7d63bb7b2cfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:广东省六校(北江中学、河源中学、清远一中、惠州中学、阳江中学、茂名中学)2023-2024学年高一下学期联合质量监测考试数学试题
广东省六校(北江中学、河源中学、清远一中、惠州中学、阳江中学、茂名中学)2023-2024学年高一下学期联合质量监测考试数学试题(已下线)专题02 平面向量的应用-《期末真题分类汇编》(人教A版2019必修第二册)辽宁省大连市第十二中学2023-2024学年高一下学期6月份学情反馈数学试卷
名校
解题方法
4 . 如图,一块三角形铁片ABC,已知
,
,
,现在这块铁片中间发现一个小洞,记为点D,
,
.如果过点D作一条直线分别交AB,AC于点E,F,并沿直线EF裁掉
,则剩下的四边形EFCB面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c99fc553ecb3e2afdb7058201bc642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b566395b41fc587143d533f9756024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d54e182a943f960a1885b8556d07a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 已知抛物线
,圆
,
为圆
外一点,过点
作圆
的两条切线
,
,直线
与抛物线
交于点
,
,直线
与抛物线
交于点
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32be681ecfdd5463567671d1ee034d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948811debe828137d751f874107b6cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128aa322f3e76e8f03a7402bb2b2ae25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c16dac1e9bf5804c8907cbc59014d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc39f01920227d524b789061274db4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45b101a851861e06398962501e9d066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ddbe50df799cef30a88e830bec8daf.png)
A.16 | B.8 | C.4 | D.1 |
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2卷引用:江西省宜春市宜丰中学创新部2023-2024学年高一下学期6月月考数学试题
名校
6 . 已知一个正四棱台的上、下底面边长分别为2,8,侧棱长为
,则该正四棱台内半径最大的球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d52429c8324350309f77e7209a5c35.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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5卷引用:6.6.3 球的表面积和体积-同步精品课堂(北师大版2019必修第二册)
(已下线)6.6.3 球的表面积和体积-同步精品课堂(北师大版2019必修第二册)(已下线)专题07 球与几何体的切、接及立体几何最值问题-期末考点大串讲(苏教版(2019))江苏省南通、扬州、泰州七市2024届高三第三次调研测试数学试题广东省华南师范大学附属中学2024届高三下学期模拟测试(一)数学试题2024届湖南省衡阳市雁峰区衡阳市第八中学高三模拟预测数学试题
名校
解题方法
7 . 已知
,
均为锐角,
,则
取得最大值时,
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc394c19712cbbef1c781a6a8286dd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673f7e66c2a252da4c77c70d90c8cec.png)
A.![]() | B.![]() | C.2 | D.1 |
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|
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|
3卷引用:辽宁省大连育明高级中学2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
8 .
中,
,
,
是
外接圆圆心,是
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52dee53b52430f53a726cda7fe9d6805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15167b49aad18e17a3b4e58ad6b61c13.png)
A.1 | B.![]() | C.3 | D.5 |
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名校
解题方法
9 . 已知
三点在以
为圆心,1为半径的圆上运动,且
,为圆
所在平面内一点,且
,则下列结论错误 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831f3d09ca511c8feaa43fcd29b5a26f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
10 . 对任意的
函数
,都有
,且当
时,
,若关于
的方程
在区间
内恰有6个不等实根,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d203f81cd25b0e4b6e0f994d6a042b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21e1e80acd7ce4837f80e0257fa5357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016eff8c401a95d3eb5c7a785632293a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a08bd89cef4f0b1ae3d31a0a9f8f937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939f77278a5622a7dfc1759c721d4ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.(3,5) | B.(3,4) | C.[3,4] | D.[3,5] |
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