解题方法
1 . 将一颗骰子连续抛掷三次,向上的点数依次为
,则
的概率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4891e81821088f6c9646359375b9ca0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知函数
.
(1)若曲线
在点
处的切线斜率为3,求a的值;
(2)若
存在单调增区间,求a的取值范围;
(3)是否存在实数
,使得方程
在区间
内有且只有两个不相等的实数根?若存在,求出a的取值范围?若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1fb4f45e69862bd6aba8dd9530bc0.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30df2c682a8e542dbf20b1e558f7b48a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5239e374894f95da60c5cb35a2a718.png)
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3 . 如图,在四棱锥
中,四边形
为直角梯形,
,
为等边三角形,F为线段
的中点,平面
平面
为线段
上一点.
;
(2)当
为何值时,直线
与平面
夹角的正弦值为
.
![](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/3cc99dbf17e39d8603f484fdb1fa009d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d370573f2038efc27eddc6a79b18d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d349fe863291b79f668a038ec1fc41e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d11e19c84255eb0431415c2dec553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13508fdc9e840fe612431360a6d451ee.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d02ae074c7c2f7dfde8058dfa55ab.png)
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解题方法
4 . 若随机变量
,则有如下结论:
,
,
),高二(1)班有45名同学,一次数学考试的成绩服从正态分布,平均分为120,方差为100,理论上说在130分以上人数约为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95853101daf6d499955e557baaada18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6830463ff718999d3581ce555c7951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2280a650373bb3472be594c46ed9d117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd61c0ea45912aadd6ca6e789ba671a.png)
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5 . 小明上班的路上有4个红绿灯路口,假如他走到每个红绿灯路口遇到绿灯的概率为
,则他在上班的路上恰好遇到2次绿灯的概率为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8b45edad1f59a7454739675fd2de55.png)
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解题方法
6 . 设随机变量X服从二项分布
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83949094e89f1070899602f0bdb0535a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd353481279871d4c18541586c319c8d.png)
A.1 | B.2 | C.3 | D.4 |
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7 . 设变量X和变量Y的样本相关系数为
,变量U和变量V的样本相关系数为
,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33276e61d0a7c3879cb7cf637c6b9b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368f7e7378bc9996029c10a50a3ce440.png)
A.X和Y之间虽正线性相关关系,且X和Y的线性相关程度强于U和V的线性相关程度 |
B.X和Y之间呈负线性相关关系,且X和Y的线性相关程度强于U和V的线性相关程度 |
C.U和V之间呈负线性相关关系,且X和Y的线性相关程度弱于U和V的线性相关程度 |
D.U和V之间呈正线性相关关系,且X和Y的线性相关程度弱于U和V的线性相关程度 |
您最近一年使用:0次
名校
解题方法
8 . 已知
中,角A,B,C的对边分别为a,b,c,
,
.
,求
的值;
(2)过点B作BC的垂线l,D为l上一点.
①若
,
,求线段AD的长;
②若
且D点在
外部,求线段AD长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb7a6885bd1c82fe831172732e056db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfcf0758cc82e10edb355fc7599692a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5336bc8649d12e131786a5bcd26341f4.png)
(2)过点B作BC的垂线l,D为l上一点.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b0a85610ed7cfadf817349d3fceeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0c2c31518f8cdaa4ed19854d104956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7日内更新
|
170次组卷
|
2卷引用:江苏省邗江中学2023-2024学年高一下学期5月阶段性测试数学试题
名校
解题方法
9 . 已知全集
,集合
,
.
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9607925e9edd5482fabdcb6d3a4d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6001de7ff4d09f756e62c14537e2b654.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac59877d187318610e6db3f2a926ad73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 已知椭圆
短轴长为2,椭圆
上一点
到
距离的最大值为3.
![](https://img.xkw.com/dksih/QBM/2024/5/26/3504894981390336/3520242638839808/STEM/32c129353263403684caca44141869ef.png?resizew=151)
(1)求
的取值范围;
(2)当椭圆
的离心率达到最大时,过原点
斜率为
的直线
与
交于
两点,
分别与椭圆
的另一个交点为
.
①是否存在实数
,使得
的斜率
等于
?若存在,求出
的值;若不存在,说明理由;
②记
与
交于点
,求线段
长度的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.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/9059420851d219dba2189975f8eb5178.png)
![](https://img.xkw.com/dksih/QBM/2024/5/26/3504894981390336/3520242638839808/STEM/32c129353263403684caca44141869ef.png?resizew=151)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7708c156249bb475564027f73313fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2ec2e454afe8452a6f1714a986aa38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235557c7e459c7100787e436826c198e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f963b16dcebd808b41842febc329a6.png)
①是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e08d5c04f0431fb57b33a01717b599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4b2e1a496f0df7918efed76a51f34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
②记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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7日内更新
|
62次组卷
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2卷引用:江苏省扬州市2024届高三下学期高考考前调研测试数学试题