名校
1 . 下列说法中正确的是____________
①设随机变量
服从二项分布
,则
;
②已知随机变量
服从正态分布
且
,则
;
③小赵、小钱、小孙、小李到4个景点旅游,每人只去一个景点,设事件
“4个人去的景点互不相同”,事件
“小赵独自去一个景点”,则
;
④
,
.
①设随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f81cb47fcee4d49fe7ee4d28ce017f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47568df0bac67fd9f96967ca818bbf71.png)
②已知随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778dfb406e5ca6131f7e39a1cdf145c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a307cf1bf1fa44a643d7154897c081d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06084e691e1040ff47ebba8d63f0515.png)
③小赵、小钱、小孙、小李到4个景点旅游,每人只去一个景点,设事件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71eb60fee9dd6638e7e6ef25501c978b.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88e32e55acab0434f92963c95e3874b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f846c3dc0ca7609b7765ad10d229d6cb.png)
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2 . 若函数
的导函数为
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8518c0b61476936d000dfda322bf5815.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e3f0ca247dbde78c6e1ae06d084b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8518c0b61476936d000dfda322bf5815.png)
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2024-04-07更新
|
593次组卷
|
9卷引用:天津市西青区杨柳青第一中学2023-2024学年高二下学期第一次质量检测数学试题
天津市西青区杨柳青第一中学2023-2024学年高二下学期第一次质量检测数学试题黑龙江省牡丹江市第一高级中学2023-2024学年高二上学期1月期末考试数学试题(已下线)专题1.2 导数的运算(七个重难点突破)-2023-2024学年高二数学下学期重难点突破及混淆易错规避(人教A版2019)(已下线)第六章:导数及其应用(单元测试)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)山东省威海市乳山市银滩高级中学2023-2024学年高二下学期3月月考数学试题天津市滨海新区田家炳中学2023-2024学年高二下学期第一次月考数学试题山东省菏泽市外国语学校2023-2024学年高二下学期第一次月考数学试卷四川省德阳市什邡中学2023-2024学年高二下学期4月月考数学试题上海市实验学校2023-2024学年高二下学期4月月考数学试卷
3 . 已知抛物线C:
焦点为F,过点F的直线l与抛物线交于两点
,
.
①若直线l的斜率为1,则弦长
;
②以AB为直径的圆交准线于点D,则
;
③过点A和抛物线顶点的直线交抛物线的准线为点C,则直线
轴且点A的横坐标为1;
④若直线l垂直于对称轴,过抛物线上任一点P作垂直于对称轴的直线,垂足为
,则
、
、
成等比数列.
以上结论中正确的序号为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c663466d641b5fdfef1e529d6c330ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166afeb61d5a80366a8ae29c912cd644.png)
①若直线l的斜率为1,则弦长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e84da8cdea820c6ae310a1cf9e65d7e.png)
②以AB为直径的圆交准线于点D,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650c6c818df102a83ce5159e3208d01a.png)
③过点A和抛物线顶点的直线交抛物线的准线为点C,则直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2455fb53ada309ffe9717d2613a937f6.png)
④若直线l垂直于对称轴,过抛物线上任一点P作垂直于对称轴的直线,垂足为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2401bc9c26cc3b0b8384c7139bd58fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d87446c9ef0230285d9b08127fce5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2905ba7cf884768cd68165f6cf02de6b.png)
以上结论中正确的序号为
您最近一年使用:0次
4 . 如图,在三棱柱
中,D,E分别是线段
,
的中点,设
,
,
.用
,
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658ff9921ff96972b0fc95360bb0c65b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0879a90fdf1c8be67eccfff8fe2c4cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9206f052cc7298fdf9049f9386f53928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df107a0db8e7084e46cbf0edc9dd4878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658ff9921ff96972b0fc95360bb0c65b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/6d5f40ae-63d4-44bf-8303-0e9a5045899f.png?resizew=151)
您最近一年使用:0次
名校
5 . 已知
,则
的最小值是_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aaf168e030d76af938d89c1bb4633f7.png)
您最近一年使用:0次
2024-01-24更新
|
795次组卷
|
2卷引用:天津市第九十五中学益中学校2023-2024学年高二下学期第二次学习情况调查数学试卷
解题方法
6 . 已知直线
:
,直线
:
,若
,则实数a的值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e54f7af574f7841441313ce7314b16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbdc33a36a47462ffffde2bdc0911614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027830fc47290062692964077ee481e4.png)
您最近一年使用:0次
7 . 已知圆
:
与圆
:
相交于点A、B.①若
,则公共弦所在直线方程为_________ ;②若弦长
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76350eb70a02eabffe0bdb1813569c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e318cefab1d71238b6a770e9d5fe154e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
8 . 已知双曲线
(
)的两个焦点为
,
,焦距为20,点P是双曲线上一点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b60dfcadbbc0e20755f3f6c388ad7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2167b8690e74e744417f3d2158a1b1d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
您最近一年使用:0次
9 . 数列
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4555dca34cc0ad25f9648d19bcbb69da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
您最近一年使用:0次
10 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f40533b7cad7ddd946044511d76d31.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f33e7e7b0f82f10f5fb983adfe22f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f40533b7cad7ddd946044511d76d31.png)
您最近一年使用:0次