1 . 3名女生和5名男生排成一排.
(1)如果女生全排在一起,有多少种不同排法?
(2)如果女生都不相邻,有多少种排法?
(3)如果女生不站两端,有多少种排法?
(4)其中甲必须排在乙前面(可不相邻),有多少种排法?
(5)其中甲不站左端,乙不站右端,有多少种排法?
(1)如果女生全排在一起,有多少种不同排法?
(2)如果女生都不相邻,有多少种排法?
(3)如果女生不站两端,有多少种排法?
(4)其中甲必须排在乙前面(可不相邻),有多少种排法?
(5)其中甲不站左端,乙不站右端,有多少种排法?
您最近一年使用:0次
名校
解题方法
2 . 已知椭圆
的左、右焦点分别为
,离心率
为椭圆上一动点,
面积的最大值为2.
的方程;
(2)若
分别是椭圆
长轴的左、右端点,动点
满足:
,连接
交椭圆于点
为坐标原点,证明:
为定值;
(3)若点
为圆
上的动点,点
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cb46d9cf81a0e3ba7921971881468c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fea226393bfaff7311ffd8870eddc55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de10f0277f23e757be5bf05d0e1b14bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7db9b4ac9106bfaf32eba6ae265872b.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd89a03660c85fb78bd7fe82ee3068c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab947514bd5152bfc039c25a47abf2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3977b898ab98ff2cebb0c5bdad26b869.png)
您最近一年使用:0次
名校
解题方法
3 . 已知⊙M:
,直线l:
,点P在直线l上,过点P作⊙M的切线PA,PB,切点分别为A,B.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/95113a65-89d8-4265-9b50-25cab1bbcc61.png?resizew=160)
(1)若
,试求点P的坐标;
(2)直线AB是否过定点,若过定点,求出定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7253d9e65b4e64aa4ca83b2302e0c96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/95113a65-89d8-4265-9b50-25cab1bbcc61.png?resizew=160)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15b82151bff7cc0238d2034a6129f0.png)
(2)直线AB是否过定点,若过定点,求出定点坐标.
您最近一年使用:0次
名校
解题方法
4 . 如图,A,B,M,N为抛物线
上四个不同的点,直线
与直线
相交于点
.
(1)记A,B的纵坐标分别为
,
,横坐标分别为
,
,求
,
的值;
(2)记直线
,
的斜率分别为
,
,若
,则直线
是否过x轴上一定点,若过定点,求出定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff32d26c8d44f5fb4813a19c1030a9f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/32538bed-2aa0-4d23-afa3-b948a7f7ae50.png?resizew=135)
(1)记A,B的纵坐标分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162972e9dca846683969ef69b1f48509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53eeee95f185a90a266b7cdb3e467b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c97938d07092ac2803ff89a47e5b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0189322d31e9b630ab0c0df14aa030a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890271ec9c65b6e195e21671f1675d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e786d7dff2b270c93c70fe8c75c8885.png)
(2)记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80b04ce48c9ace43276552c77108126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
您最近一年使用:0次
名校
5 . 从参加数学竞赛的学生中抽出20名学生,将其成绩(均为整数)整理后画出的频率分布直方图如图所示.观察图形,回答下列问题:
(1)
这一组的频数和频率分别为多少?
(2)若从第一组和第三组的所有学生中随机抽取两人,求他们的成绩相差不超过10分的概率.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/88219838-ace3-42d2-8e0e-d7fc778aa31f.png?resizew=298)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ac6e84d7e8e5e630a92dc5fdaaa4c7.png)
(2)若从第一组和第三组的所有学生中随机抽取两人,求他们的成绩相差不超过10分的概率.
您最近一年使用:0次
名校
6 . 已知t为实数,函数
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50f107238f4650fee575a1a1efef1c3.png)
(1)若函数
是偶函数,求实数
的值;
(2)当
时,
的图象始终在
的图象的下方,求t的取值范围;
(3)设
,当
时,函数
的值域为
,若
的最小值为
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8812265303236a9b5e932b3d3e3747c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50f107238f4650fee575a1a1efef1c3.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294d3ba85030a2aff15b92b2e18a87f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15a13b4190ac3d5feaee27a4c97b21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e613a5aa85a0f468849be5981d36dbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
您最近一年使用:0次
2024-01-23更新
|
273次组卷
|
2卷引用:江苏省镇江市扬中市第二高级中学2023-2024学年高一上学期期末模拟数学试题(三)
名校
7 . 指数函数
图象过点
.
(1)求
的解析式;
(2)若
的图象上有
(其中
三点,
的面积为
.
①求
的解析式;
②求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b583db564652742ec2629d9d0b8b44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8f898730203f9cceb760c6a0632e5b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e265e33c96024737d2660850197bece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828b374133c48f127b4ab1f505d6dd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
您最近一年使用:0次
名校
8 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/21/560bee3b-3ab8-4016-b56d-b7867478170d.png?resizew=174)
(1)画出
的图像;
(2)请根据
的图像直接写出
的解集(无需说明理由).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e7c11431296392b9d404233cc21358.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/21/560bee3b-3ab8-4016-b56d-b7867478170d.png?resizew=174)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)请根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0450c72be714c5cc1931598f2b604712.png)
您最近一年使用:0次
9 . 已知正项数列
和
满足:
,
.
(1)求数列
和
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9bf2b4f35089889a1e73df181741d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f34e0205a47fd01002b20f584d2344c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46db7c4f2cd57151f1b11e95d64f959a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
10 . 记数列
的前n项和为
,对任意
满足:
,且
.
(1)求数列
的通项公式;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62dfbd34755b7fb668690c2173a32bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a8ebfddc41e91bc992a78be3d9a275f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b50f8a80c898885653cbce32eade52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f710b0e6ccca316852bf3a94f68135.png)
您最近一年使用:0次