名校
解题方法
1 . 故宫角楼的屋顶是我国十字脊顶的典型代表,如图1,它是由两个完全相同的直三棱柱垂直交叉构成,将其抽象成几何体如图2所示.已知三楼柱
和
是两个完全相同的直三棱柱,侧棱
与
互相垂直平分,
交于点I,
,
,则点
到平面
的距离是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5399fca789fea184a162bfb6d95afd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f523fc81603a5c4cdff956a5c3298b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8856a6bbd1648fef7aaa384366e9016f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df32f10590eccf0d07989db09ad7d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c507610f462120218e2cd1894c957eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4b93d7abcfc4c3df48f03aa969c17f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
昨日更新
|
481次组卷
|
3卷引用:【北京专用】高二下学期期末模拟测试A卷
名校
2 . 将序号分别为
的4张参观券全部分给3人,每人至少1张,如果分给同一人的2张参观券连号,那么不同的分法种数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14db37344529d273e36d835241d0d39.png)
您最近一年使用:0次
昨日更新
|
19次组卷
|
2卷引用:北京市怀柔区青苗学校普高部2023-2024学年高二下学期期中考试数学试卷
3 . 在校运动会上,只有甲、乙、丙三名同学参加铅球比赛,比赛成绩达到
以上(含
)的同学将获得优秀奖.为预测获得优秀奖的人数及冠军得主,收集了甲、乙、丙以往的比赛成绩,并整理得到如下数据(单位:
):
甲:
;
乙:
;
丙:
.
假设用频率估计概率,且甲、乙、丙的比赛成绩相互独立.
(1)估计甲在校运动会铅球比赛中获得优秀奖的概率;
(2)设
是甲、乙、丙在校运动会铅球比赛中获得优秀奖的总人数,求
的分布列和数学期望
;
(3)在校运动会铅球比赛中,甲、乙、丙谁获得冠军的概率估计值最大?(结论不要求证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bbeb88466f25da82ee060774501475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bbeb88466f25da82ee060774501475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5c2ebff997804ce8da464e9003f904.png)
乙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bfe3af7c01ccb01341a765db6aa6631.png)
丙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e72a33281f69adb17001e92ed19f1f5.png)
假设用频率估计概率,且甲、乙、丙的比赛成绩相互独立.
(1)估计甲在校运动会铅球比赛中获得优秀奖的概率;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf3baba074e8aeb6f3ea117865bbd1b.png)
(3)在校运动会铅球比赛中,甲、乙、丙谁获得冠军的概率估计值最大?(结论不要求证明)
您最近一年使用:0次
4 . 已知数列
的前
项和为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a717bebdf6ad7e11db845d5f58cec33.png)
(1)求数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)判断数列
是否是等差数列,若是,加以证明;若不是请说明理由;
(3)求
的最小值,并求
取最小值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a717bebdf6ad7e11db845d5f58cec33.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
5 . 已知
的展开式的二项式系数之和为32,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ ;各项系数之和为______ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b9d041df054ebf5d44b699ba334593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
您最近一年使用:0次
解题方法
6 . 在数列
中,已知
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0eddd71d4fa6c78b1a410784bafb16.png)
(1)求
,
的值;
(2)是否存在实数
,使得数列
为等差数列?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6065aaa8f3f103d1bc960da8318ce35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0eddd71d4fa6c78b1a410784bafb16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6224c0adf74d78a27ba6d4222840b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
7 . 已知数列
是等差数列,
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e3520254ca7eed646236763540b278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4303802a13e1255146196b779c70b48f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
您最近一年使用:0次
解题方法
8 . 已知某种药物对某种疾病地治愈率为
,现有甲、乙、丙、丁4个患有该病的患者服用了这种药物,观察其中有多少患者会被这种药物治愈.
(1)求出甲、乙、丙都被治愈而丁没被治愈的概率;
(2)设有
人被治愈,求
的分布列和数学期望.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(1)求出甲、乙、丙都被治愈而丁没被治愈的概率;
(2)设有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
您最近一年使用:0次
解题方法
9 . 已知无穷等差数列
为递增数列,
为数列
前
项和,则以下结论正确的是
①
②
③数列
有最小项
④数列
为递增数列
⑤存在正整数
,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
则以下结论正确的是______ .
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2798e1dcab1f7f0fe3b8a94b3cd6a88.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef64850887c5c8cad4d574b0b09307a9.png)
③数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
④数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
⑤存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ccd4537f4dee2050ade38b972eb9b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985dc26a89252b2e8dea815c529a2ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
则以下结论正确的是
您最近一年使用:0次
名校
解题方法
10 . 若
是定义在
上的奇函数,且
,对任意的
恒成立,若对任意的
,
,则当
时,
的解析式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d58567d3cb3137e68b7ff1671cd8433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36528d076f5be6a6077c58f30a10ee07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次