名校
1 . 给出下列说法,其中正确的是( )
A.数据0,1,2,4的极差与中位数之积为6 |
B.已知一组数据![]() ![]() |
C.已知一组数据![]() |
D.已知一组不完全相同的数据![]() ![]() ![]() ![]() ![]() ![]() |
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2023-06-22更新
|
864次组卷
|
5卷引用:浙江省衢州市2022-2023学年高一下学期期末数学试题
解题方法
2 . 原有一块棱长为
的正四面体石材,在搬运的过程有所损伤,剩下了一块所有棱长均为
的八面体石材(如图),现将此八面体石材切削、打磨、加工成球,则加工后球的最大表面积与该八面体石材外接球的表面积之比为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9878a063abcb6098d10560f2bf2d4b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/21/0bc5166c-d598-4041-ba31-13dae4511642.png?resizew=185)
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解题方法
3 . 如图,在四棱锥
中,
,
,
,
,
,平面
平面
,点
在棱
上且
,点
是
所在平面内的动点,点
是
所在平面内的动点,且点
到直线
的距离与到点
的距离相等,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633bf2de732ae51fc06ef3d559915da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a15e9285ea086558910c16a5127ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f409b28f7cb97726646e79709ad25190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/22/392df206-a26e-4dd8-92e6-856a7d80b2e0.png?resizew=215)
A.![]() ![]() |
B.若二面角![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
4 . 88键钢琴从左到右各键的音的频率组成一个递增的等比数列.若中音A(左起第49个键)的频率为
,钢琴上最低音的频率为
,则左起第61个键的音的频率为___________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca7aec22c532f28f270900c7b833bf4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df07b22ccc17121b1752f8cde360887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72bc766cbead9ec6fb613abe669b0be2.png)
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2023-04-22更新
|
734次组卷
|
3卷引用:浙江省衢州市2022-2023学年高二下学期期末数学试题
名校
解题方法
5 . 如图,一块三角形铁片
,已知
,
,
,现在这块铁片中间发现一个小洞,记为点
,
,
.如果过点
作一条直线分别交
,
于点
,
,并沿直线
裁掉
,则剩下的四边形
面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](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/78db1c6723d63ee9b5b1ad7aa0dc6388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66f5e4cf56e966455c5c02cf047fe99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03952d664fba91020fc5f3bcf2f9746.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-03-24更新
|
1212次组卷
|
5卷引用:浙江省衢州市乐成寄宿中学2022-2023学年高一下学期期中数学试题
解题方法
6 . 已知函数
.
(1)若
,判断
的零点个数,并说明理由;
(2)记
,求证:对任意
,均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d70101f1dba868225b3a85bee321ae5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586de1d4d9c0b8e5fced93d47d96c37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767455b03b6d5c30a99b81203aa79ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7af799440daf3f3c06665bcf5a1a74.png)
您最近一年使用:0次
7 . 已知函数
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f12658f65ede8d329a1ba55174b3b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e228067dbbd535c24d7555d0bbfa19.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若方程![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
与
,若存在
使得
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
不可能 为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e738ed4ca94c0dcca8463f1ad73b687a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-02更新
|
940次组卷
|
4卷引用:浙江省衢州市2022-2023学年高一上学期1月期末教学质量检测数学试题
浙江省衢州市2022-2023学年高一上学期1月期末教学质量检测数学试题上海交通大学附属中学闵行分校2022-2023学年高二下学期3月月考数学试题上海市交通大学附属中学2022-2023学年高二下学期3月卓越考试数学试题(已下线)第四章 指数函数与对数函数(压轴题专练)-速记·巧练(人教A版2019必修第一册)
名校
解题方法
9 . 定义在
上的函数
满足:对任意的
,都存在唯一的
,使得
,则称函数
是“
型函数”.
(1)判断
是否为“
型函数”?并说明理由;
(2)若存在实数
,使得函数
始终是“
型函数”,求
的最小值;
(3)若函数
,是“
型函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a7d4a1885b3d02c5aa8e4dc2ec509f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac8cb46c172b9bbd6c21ae026424b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5148c90b6d762234102e5bf5ca4c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66f5ca58bc2555dc2b320a5e29cfe7e.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04beea76c59a6c5b096d8c5a3b77f8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35612da13321cdec14c185c69e9e0b10.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a353a3d7b765d252c8aabdc641fcf7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66f5ca58bc2555dc2b320a5e29cfe7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15cefe8102d06c44e21abd591631e449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d90a00224f84eef1fd26f303d86a914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-02-18更新
|
727次组卷
|
3卷引用:浙江省衢州第三中学2022-2023学年高一下学期5月月考数学试题
名校
10 . 已知圆
,圆
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cb72529f7648cf4666c6c37d415dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19f8e32dd96cbade160f7113ec51012.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若直线![]() ![]() ![]() |
D.若直线![]() ![]() ![]() ![]() ![]() |
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2023-02-03更新
|
1183次组卷
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8卷引用:浙江省浙里卷天下2023届高三一模数学试题
浙江省浙里卷天下2023届高三一模数学试题广东省江门市部分学校2023届高三下学期开学联考数学试题浙江省部分学校2022-2023学年高三上学期1月联考数学试题浙江省金太阳联盟2022-2023学年高三上学期1月期末联考数学试题(已下线)专题19 圆的方程-3山西省忻州市2023届高三一模数学试题(已下线)考点06 相切的位置关系(直线与圆,圆与圆) 2024届高考数学考点总动员湖南省长沙市宁乡市第一高级中学2022-2023学年高二上学期12月月考数学试题