1 .
,求所有的
,使得
中有无穷多项为正整数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad039ab9ca99b3d62b798884e8988b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629507dcfdeb6866da428c4f45e2b21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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解题方法
2 .
是从
中随机抽取3个不同的数排列出的最大的三位数,
是从
中随机抽取3个不同的数排列出的最大的三位数.求
的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9faa718b750cd0be91d5d9b76f948de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c804bc27c6d7423946410c8a98db66bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae370cd09065372355be1ba7b78e6423.png)
您最近一年使用:0次
3 . 定义运算“
”满足:
为从向量
按逆时针方向到向量
的夹角
,向量
垂直于
所确定的平面,当
时,其垂直平面的方向向上;当
时,其垂直平面的方向向下,下列说法一定正确的有__________ .(填序号)
①
;②
;③
;④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872c64b1cc0dd66a0d4f4bb437d6d50b.png)
;⑤当
时,
;⑥
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad8d792188dba9a934ff4e034e6eedd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3dfb49ad8bb91cc8a7488ff6f2b48d.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/2624a5cff11216693d7ecc7a8661c945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18020f8f5d3ec9988d05d367b9858fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c82ef71de70fda2db4b882e57bacbb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef7b23414e09377caa0d7fe2e6a5dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932413ffae6ac40f704ef9606bdc06a8.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a5dd9c18ec68a4e1af7a86abb44d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14f57826c118e5772513c03354d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17be5a6799ad26c91a8fd58448a3ce03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872c64b1cc0dd66a0d4f4bb437d6d50b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea925583bb5b08798bf5c0f9f43aad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d94b1db1042e2b0dbe7efb3a6e33190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb176d7f8f34762a45717df116878ed.png)
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解题方法
4 . 已知等差数列
满足
,设
是数列
的前
项和,记
.
(1)求
;
(2)比较
与
的大小;
(3)如果函数
对一切大于1的正整数
,其函数值都小于零,那么
应满足什么条件?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d11141ecb82398a9adc5dfdb0b9d94a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c38fb4d9ed4f1debb61d97e693fb5f5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08d8e48f1a494bd7fa205362035952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35d879b534a1dc0102d8fdf0005a4f2.png)
(3)如果函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859e3e04d48088f02fd81881604c5975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
2024-04-07更新
|
218次组卷
|
2卷引用:第五届高一试题(初赛)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
解题方法
5 . 从编号分别为1,2,…,9的9张卡片中任意抽取3张,将它们的编号从小到大依次记为
,则
且
的概率是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5768313a382ee3d30dee807592ac36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3da0d45770a8c3bb4965872321dcce6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 从由正数组成的集合A中随机地选出一个数
的概率为
,则在下面给出的四个集合中:①
;②
;③
;④
.
能当成集合A的为______ (填上符合要求的所有序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5d56dd753b6e01de12da6168e86cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a96775b72021e81351f88745cd9abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2e24d0f06625ed7fb1ecbd5bcd2348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1980f8c04858721acfdbc8bd1e2368df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47ef75dd4e477266b40de5136b14f89.png)
能当成集合A的为
您最近一年使用:0次
名校
解题方法
7 . 若
,则
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b3e0f638a0dc902d959f7cf8303be3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcefcd3f339935767c3d8d01774d7cb.png)
A.2 | B.0 | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-23更新
|
175次组卷
|
2卷引用:第八届高二试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
解题方法
8 . 如果
是离散型随机变量,则
在
事件下的期望满足
其中
是
所有可能取值的集合.已知某独立重复试验的成功概率为
,进行
次试验,求第
次试验恰好是第二次成功的条件下,第一次成功的试验次数
的数学期望是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a71f2ff30791e8b210727912600096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ad71223cc853bc21bf203e7a5321f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385f040f4037e9934620d6971da08131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.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/f022950e0faa45b617d497b01b5292b9.png)
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解题方法
9 . 已知函数
既是二次函数又是幂函数,函数
的图象与函数
的图象关于直线
对称.若直线
与函数
的图象和函数
的图象的交点分别为
,
,则当
达到最小时,
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a76db9d90c057be5b5eb8727bd08979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.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/d44e8bc37ed03f44470762748a8f942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-20更新
|
112次组卷
|
3卷引用:第十二届高二试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
10 . 10块相同的巧克力,每天至少吃一块,5天吃完,有______ 种方法;若10块相同的巧克力,每天至少吃一块,直到吃完为止又有______ 种方法.(用数字作答)
您最近一年使用:0次