名校
1 . 为了促进消费,某商场针对会员客户推出会员积分兑换商品活动:每位会员客户可在价值80元,90元,100元的
,
,
三种商品中选择一种使用积分进行兑换,每10积分可兑换1元.已知参加活动的甲、乙两位客户各有1000积分,且甲兑换
,
,
三种商品的概率分别为
,
,
,乙兑换
,
,
三种商品的概率分别为
,
,
,且他们兑换何种商品相互独立.
(1)求甲、乙两人兑换同一种商品的概率;
(2)记
为两人兑换商品后的积分总余额,求
的分布列与期望
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)求甲、乙两人兑换同一种商品的概率;
(2)记
![](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
2023-11-23更新
|
1765次组卷
|
10卷引用:广西普通高中2024届高三跨市联合适应性训练检测卷数学试题
广西普通高中2024届高三跨市联合适应性训练检测卷数学试题广西桂林、柳州、贺州、崇左四市2024届高三上学期跨市联合适应性检测数学试题四川省雅安市雅安市联考2023-2024学年高三上学期期中考试数学(理)试题四川省绵阳市绵阳实验高级中学2024届高三上学期11月月考数学(理)试题(已下线)第二篇 “搞定”解答题前3个 专题3 概率统计解答题【讲】高三逆袭之路突破90分(已下线)第二篇 “搞定”解答题前3个 专题3 概率统计解答题【练】 高三逆袭之路突破90分(已下线)专题12 概率(3大易错点分析+解题模板+举一反三+易错题通关)(已下线)6.3.1离散型随机变量的均值(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)(已下线)第04讲 7.3.1离散型随机变量的均值-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第三册)(已下线)7.3.1 离散型随机变量的均值——课后作业(提升版)
2 . 设
,
是抛物线
上异于
的两点.
(1)设直线
,
,
的斜率分别为
,
,
,求证:
;
(2)设直线
经过点
,若
上恰好存在三个点
,使得
的面积等于
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
(1)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b535bc64a3dbd3d32842d4c11d17f5a.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d593b6289611301f154860e0f8c0bb5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0f04accbaf31fc58065eb017b4cce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2023-11-22更新
|
436次组卷
|
2卷引用:广西壮族自治区广西贵港市、百色市、河池市2023-2024学年高三上学期11月质量调研联考数学试题
名校
3 . 夜幕降临,华灯初上,丰富多元的夜间经济,通过夜间商业和市场,更好满足了民众个性化、多元化、便利化的消费需求,丰富了购物体验和休闲业态.打造夜间经济,也是打造城市品牌、促进产业融合、推动消费升级的新引擎.为不断创优夜间经济发展环境,近朋,某市商务局对某热门夜市开展“服务满意度大调查”,随机邀请了100名游客填写调查问卷,对夜市服务评分,并绘制如下频率分布直方图,其中
为非常不满意,
为不满意,
为一般,
为基本满意,
为非常满意,
为完美.
(1)求
的值及估计
分位数:
(2)调查人员为了解游客对夜市服务的具体意见,对评分不足60分的调查问卷抽取2份进行细致分析,求恰好为非常不满意和不满意各一份的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1720e1256b8eb4fa308d77814edaf197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627a86a6ccc6968f95c9e26db5c4b80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8826cd3a88388c3896b1e429fabd437f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58d9a123e465dace224231f54ee94e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a40cf767fd2a684f2f1ed9216836792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a0dc3b0349c53d7bf36dfe97958cea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/14/0b3f749d-38a0-48d4-b286-7ee7d2b3c01c.png?resizew=214)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1213c2a26a77edc9d0615b9988474c77.png)
(2)调查人员为了解游客对夜市服务的具体意见,对评分不足60分的调查问卷抽取2份进行细致分析,求恰好为非常不满意和不满意各一份的概率.
您最近一年使用:0次
2023-11-13更新
|
558次组卷
|
3卷引用:广西南宁市第三中学、钦州市第二中学2023-2024学年高二上学期期中考试数学试题
解题方法
4 . 已知曲线
上的点
满足
.
(1)化简曲线
的方程;
(2)已知点
,点
,过点
的直线
(
斜率存在)与椭圆
交于不同的两点
,直线
与
轴的交点分别为
,证明:
三点在同一圆上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb3f5bdec70ed78442c756205c791e8.png)
(1)化简曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195be24b54d5c7cad434777b15899179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28491f7ef64389d62b0e1574ab56429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad19bf750b626e430e45fe7eadf4e23f.png)
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5 . 如图,这是某圆弧形山体隧道的示意图,其中底面AB的长为16米,最大高度CD的长为4米,以C为坐标原点,AB所在的直线为x轴建立直角坐标系.
(1)求该圆弧所在圆的方程;
(2)若某种汽车的宽约为2.5米,高约为1.6米,车辆行驶时两车的间距要求不小于0.5米以保证安全,同时车顶不能与隧道有剐蹭,则该隧道最多可以并排通过多少辆该种汽车?(将汽车看作长方体)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/604de4a6-dccd-43be-b7fc-98cc3d7d5863.png?resizew=206)
(1)求该圆弧所在圆的方程;
(2)若某种汽车的宽约为2.5米,高约为1.6米,车辆行驶时两车的间距要求不小于0.5米以保证安全,同时车顶不能与隧道有剐蹭,则该隧道最多可以并排通过多少辆该种汽车?(将汽车看作长方体)
您最近一年使用:0次
2023-11-10更新
|
524次组卷
|
9卷引用:广西贵港市部分学校2023-2024学年高二上学期期中联考数学试题
名校
解题方法
6 . 如图,已知点M在圆
上运动,
轴(垂足为N),点Q在NM的延长线上,且
.
(1)求动点Q的轨迹方程;
(2)直线l:
与
1
中动点Q的轨迹交于两个不同的点A和B,圆O上存在两点C、D,满足
,
,求m的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5ec3aef789fc1412ff76b510b48018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48c873e397be4f3861bcf60caa2664b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/9157160c-fa64-40a6-9b4d-e4e9ba2fec5e.png?resizew=147)
(1)求动点Q的轨迹方程;
(2)直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80e3a3b6c6513a45506f605638f5655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b32d80e3b23cdb11d633cc4544c35a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099bbcbe866ca684c4c1d89838a0fd9c.png)
您最近一年使用:0次
2023-11-07更新
|
242次组卷
|
2卷引用:广西南宁市2023-2024学年高二上学期教学质量调研数学试题
名校
7 . (1)若
,求
的最小值,并求此时x的值;
(2)解不等式
;
(3)计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9929b4a95df4cb001be158a1600ae5e4.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/609c326212b7f730962ec3fe1a2fab3b.png)
(3)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e68bd306232fb7c3dab7b2e2c52c7da.png)
您最近一年使用:0次
名校
8 . 已知圆
为圆
上一点.
(1)求
的取值范围;
(2)圆
的圆心为
,与圆
相交于
、
两点,
为圆
上相异于
、
的点,直线
分别与
轴交于点
、
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd12f319940b8a34c72d70d784933c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1635189455e8699b519bb6e75b5782.png)
(2)圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3c9ac09200117aeea15b2d036b2b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c014ed51d7ffbbf1f5e784258aa6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/e82285ef0e93c45ac73c6a82f6bc6fa7.png)
您最近一年使用:0次
名校
9 . 甲、乙两位同学进行跳绳比赛,比赛规则如下:进行两轮跳绳比赛,每人每轮比赛在规定时间内跳绳200次及以上得1分,跳绳不够200次得0分,两轮结束总得分高的为跳绳王,得分相同则进行加赛直至有一方胜出为止.根据以往成绩分析,已知甲在规定时间内跳绳200次及以上的概率为
,乙在规定时间内跳绳200次及以上的概率为
,且每轮比赛中甲、乙两人跳绳的成绩互不影响.
(1)求两轮比赛结束乙得分为1分的概率;
(2)求不进行加赛甲就获得跳绳王的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33adb74906403b0b00fcbd9fa691d8b.png)
(1)求两轮比赛结束乙得分为1分的概率;
(2)求不进行加赛甲就获得跳绳王的概率.
您最近一年使用:0次
2023-10-11更新
|
827次组卷
|
3卷引用:广西三新学术联盟2023-2024学年高二上学期10月联考数学试题
名校
10 . 某工厂的工人生产内径为
的一种零件,为了了解零件的生产质量,在某次抽检中,从该厂的1000个零件中抽出60个,测得其内径尺寸(单位:
)如下:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef41a4f283b01c9d7316306fad91ea0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e078dbf7e2947ff95cda463e6daa2102.png)
这里用
表示有
个尺寸为
的零件,
,
均为正整数.若从这60个零件中随机抽取1个,则这个零件的内径尺寸小干
的概率为
.
(1)求
,
的值.
(2)已知这60个零件内径尺寸的平均数为
,标准差为
,且
,在某次抽检中,若抽取的零件中至少有80%的零件内径尺寸在
内,则称本次抽检的零件合格.试问这次抽检的零件是否合格?说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e8fd76f190f2369baefbb4d7e02809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f3bf70722b22983c120d008d097602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56810b3c4ca383c24618b417e4ada190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc9ad29df619030ddce694d09b5dbaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1081e57734e87b4ef0ab94f7e2b58a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef41a4f283b01c9d7316306fad91ea0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78c09deb4ea96394c5d4e667d5c18a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1460286611ac2072cffe299012fc75b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da78a1d0c1f82c03ae960c6fe44057da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e078dbf7e2947ff95cda463e6daa2102.png)
这里用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ad653fe0894c656b42e1cfddeaf187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a64b856bfe0bbc74a9868d81c880c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9adc80dac63cc0ad665448764638b40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3a08e770d5b030c3219c3ee4a695f4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)已知这60个零件内径尺寸的平均数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1d73abf51f728f3889623a3898af8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809958f5490cd46de98c8f9df075d441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d427ae73d32253248a2da03a207bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e38f284edc13bbdfb8ff3eddbbba6dd.png)
您最近一年使用:0次
2023-10-08更新
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441次组卷
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6卷引用:广西壮族自治区桂林市等3地2024届高三上学期跨市联合适应性训练检测(10月月考)数学试题