名校
1 . 小倩和小玲每人都有若干面值为整数元的人民币.小倩对小玲说:“你若给我2元,我的钱数将是你的
倍”;小玲对小倩说:“你若给我
元,我的钱数将是你的2倍”,其中
为正整数,则
的可能值的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
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|
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2卷引用:浙江省杭州第二中学2022-2023学年高一上学期分班考数学试题
名校
2 . 若质数
满足
,则数据
的中位数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ebae11fef2db7379f94335b7e53c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4bed4648348b9cadbcd6b78a605217.png)
A.4 | B.7 | C.4或7 | D.4.5或6.5 |
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2卷引用:浙江省杭州第二中学2022-2023学年高一上学期分班考数学试题
名校
3 . 如图,在
中,
,
,
、
是边
上的两点,
,
,
,则
的面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cbfaec1d9dcaaf159b060163436113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1af32e267e35ef79bcb8df5d169283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/25/f327796c-b222-47dd-bb2e-549fb234d14e.png?resizew=149)
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4 . 点
为
轴正半轴上一点,
,
两点关于
轴对称,过点
任作直线交抛物线
于
,
两点.若点
的坐标为
,且
,则所有满足条件的直线
的函数解析式为:___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22d30b98249fb732474a10865e4228c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccb9696a823dfdfbd2a5c41dea3782a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/25/fb0f2af5-ee71-476f-a8dc-8086c288a7cd.png?resizew=182)
您最近一年使用:0次
5 .
是
的边
上的一点,使得
,
是
外接圆上一点,
使得
,则
的值___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7749006d7e99bbec95b12e044bf8f87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4212e319578c23bbf23a505e1dda7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034b2a8f41d2ebd20ebbcb3f8e8243c0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/26/09c895c0-0246-43c3-8fce-2f566114f965.png?resizew=140)
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|
109次组卷
|
3卷引用:浙江省杭州第二中学2022-2023学年高一上学期分班考数学试题
6 . 已和
均为非负数,且满足
.
(1)用
表示
;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db13e657130eeb8c3d3d010cde9e366b.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd02ceddf9a8b83b0e41117569c9bb5c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8fcf2e5c68c4e5f14002a43c357878.png)
您最近一年使用:0次
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|
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2卷引用:浙江省杭州第二中学2022-2023学年高一上学期分班考数学试题
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7 . 如图
为等腰三角形,
是底边
上的高,点
是线段
上的一点,
和
分别是
和
的外接圆的直径,连接
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1967b39c5cc905fe9840edb731b4e238.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/27/0990e5cd-c161-4672-89c3-aca3fab9401c.png?resizew=215)
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|
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2卷引用:浙江省杭州第二中学2022-2023学年高一上学期分班考数学试题
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8 . 若四个互不相等的正实数
,
,
,
满足
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a41da1f3028698c91a723c15eb55259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5dce32ad2ea645a2d56cf44eacf43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0edb5388410696fa283d75a8f54c0b.png)
A.![]() | B.![]() | C.2012 | D.2011 |
您最近一年使用:0次
2023-07-22更新
|
142次组卷
|
2卷引用:浙江省杭州第二中学2022-2023学年高一上学期分班考数学试题
名校
解题方法
9 .
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfafcda22711333f718816235a153d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d2ec12ae5d662f2b2ba3fb7aac1312.png)
A.![]() | B.0 | C.32 | D.64 |
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3卷引用:浙江省杭州第二中学2022-2023学年高一上学期分班考数学试题
名校
解题方法
10 . 设
是直线,
是两个不同的平面,那么下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
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8卷引用:浙江省杭州第十四中学2021-2022学年高二下学期期末模拟数学试题