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1 . 已知三棱锥
的四个顶点在球O的球面上,
,
是边长为6的正三角形,E为SA的中点,直线CE,SB所成角为90°,则球O的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700f2f0f1cf306f7fc18d18fe91d0acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2 . 某学校举办校庆,安排3名男老师和2名女老师进行3天值班,值班分为上午和下午,每班次一人,其中女老师不在下午值班,且每个人至少要值班一次,则不同的安排方法共有______ 种(用数字作答).
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3 . 在锐角三角形
中,边
长为1,且
,则边
的长度取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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4 .
的展开式中的常数项为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377f05eb0c15ccc9c60cb5f0183cdb66.png)
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5 . 已知
,若实数m,n满足
,则
的最小值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e74a6ed0b5422459d019ffeb752158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de3aec7dea25bff9b87f12fe41a8e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c9cceb3285ab068493b820d03effa7.png)
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2024-06-11更新
|
536次组卷
|
2卷引用:浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题
6 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc903c19f7b3b0aa58cdb0cdb7b062a0.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a125a4ba99419d7957b40fac1b4132bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc903c19f7b3b0aa58cdb0cdb7b062a0.png)
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2024-06-11更新
|
358次组卷
|
3卷引用:浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题
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7 . 函数
(
且
)的图象恒过定点A,且点A在幂函数
的图象上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1639cae66369e0af934df22432b802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
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8 . 四棱锥
的底面
为正方形,
平面
,且
,
.四棱锥
的各个顶点均在球O的表面上,
,
,则直线l与平面
所成夹角的范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364d6c88726d8c3bb8ed297057332bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36671a5652834ef8b3984fa76643ce5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8adb2e669e789bb6eb154f7d1defb7bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
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2024-05-27更新
|
460次组卷
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3卷引用:浙江省东阳市2024届高三5月模拟考试数学试题
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9 . 若圆
被双曲线
的一条渐近线截得的弦长为2,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f6af96e22b5aaa49ae290906483ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c4088276acdbede4781b2ebc466366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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10 . 某希望小学的操场空地的形状是一个扇形
,计划在空地上挖一个内接于扇形的矩形沙坑(如图所示),有如下两个方案可供选择.经测量,
,
.在方案1中,若设
,
,则
,
满足的关系式为______ ,比较两种方案,沙坑面积最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deab30125e09b58dbd451fd2633ff9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f5b71c93c132c3f5889e832a074978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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