解题方法
1 . 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)
您最近一年使用:0次
2 .
年
月
日,中国疾控中心成功分离中国首株新型冠状病毒毒种,
月
日
时
分,重组新冠疫苗获批启动临床试验.
月
日,中国新冠病毒疫苗进入
期临床试验
截至
月
日,全球当前有大约
种候选新冠病毒疫苗在研发中,其中至少有
种疫苗正处于临床试验阶段
现有
、
、
三个独立的医疗科研机构,它们在一定时期内能研制出疫苗的概率分别是
、
、
.求:
(1)他们都研制出疫苗的概率;
(2)他们都失败的概率;
(3)他们能够研制出疫苗的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701554763bdbbf2689a8dae07608da38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e60fbe6820130fb20abc555a94b5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b837fd9c52f60bfb3b6852733abc790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5453184e251cfe787b5965cd38426962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf3d8dfe41a8dc4e4248bdf593a6266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38eed00a39aae5a7232b72a4d3ed821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feda926749de04fa585f73f84c568f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)他们都研制出疫苗的概率;
(2)他们都失败的概率;
(3)他们能够研制出疫苗的概率.
您最近一年使用:0次
解题方法
3 . “冰雪为媒,共赴冬奥之约”!第24届冬季奥林匹克运动会于2022年2月4日于20日在北京举行,共有91个国家的代表团参加.各国运动员在赛场上全力以赴、奋勇争先,为我们带来了一场冰与雪的视觉盛宴.本届奥运会前,为了分析各参赛国实力与国家所在地区(欧洲/其它)之间的关系,某体育爱好者统计了近年相关冰雪运动赛事(奥运会、世锦寒等)中一些国家斩获金牌的次数,得到如下茎叶图.
![](https://img.xkw.com/dksih/QBM/2022/3/21/2941004853133312/2944851166674944/STEM/fadcc87d-491a-4429-9f68-3fdb76282650.png?resizew=165)
(1)计算并比较茎叶图中“欧洲地区”国家和“其它地区”国家获金牌的平均次数(记为
)和方差(记为
,保留一位小数),判断是否能由此充分地得出结论“欧洲国家的冰雪运动实力强于其它国家”,说明你的理由.
(2)记图中斩获金牌次数大于70的国家为“冰雪运动强国”,请按照图中数据补全2×2列联表,并判断是否有97.5%的把握认为一个国家是否为“冰雪运动强国”与该国家所在地区(欧洲/其它)有关(假设该样本可以反映总体情况).
附:
,其中
.
![](https://img.xkw.com/dksih/QBM/2022/3/21/2941004853133312/2944851166674944/STEM/fadcc87d-491a-4429-9f68-3fdb76282650.png?resizew=165)
(1)计算并比较茎叶图中“欧洲地区”国家和“其它地区”国家获金牌的平均次数(记为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25047f8a038562c7dd5acf985ea9727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534d69457172ff4698169f94ab1da70e.png)
(2)记图中斩获金牌次数大于70的国家为“冰雪运动强国”,请按照图中数据补全2×2列联表,并判断是否有97.5%的把握认为一个国家是否为“冰雪运动强国”与该国家所在地区(欧洲/其它)有关(假设该样本可以反映总体情况).
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![]() | 0.10 | 0.05 | 0.025 | 0.010 | |
![]() | 2.706 | 3.841 | 5.024 | 6.635 | |
“冰雪运动强国” | 非“冰雪运动强国” | 合计 | |||
欧洲国家 | |||||
其它国家 | |||||
合计 |
您最近一年使用:0次
2022-03-27更新
|
588次组卷
|
3卷引用:广西梧州市岑溪市2021-2022学年高二下学期期中考试数学(文)试题
名校
解题方法
4 . 树人中学为了了解
,
两个校区高一年级学生期中考试的物理成绩(百分制),从
,
两个校区各随机抽取了100名学生的物理成绩,将收集到的数据按照
,
,
,
,
分组,绘制成成绩频率分布直方图如图:
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763246284316672/2766870321651712/STEM/b8831c9a-b14d-4a17-8fdb-f514f7c0caf2.png?resizew=229)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763246284316672/2766870321651712/STEM/da3dad09-d058-46cd-9223-5c100223f190.png?resizew=235)
(1)从
校区全体高一学生中随机抽取一名,估计这名学生的成绩不低于60分的概率;
(2)如果把频率视为概率,从
校区全体高一学生中随机选取一名,从
校区全体高一学生中随机选取两名,求这三名学生至少有一名学生的成绩不低于80分的概率;
(3)根据频率分布直方图,用样本估计总体的方法,试比较
,
两个校区的物理成绩,写出两条统计结论,并说明理由.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb3d99cbd744a9d742ea44c620784d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318526d0ebdb8f02a91b3903e48b42b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e8b4e1a5ec3b13973d8ed247d34a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049308ddadf8b2b49224a8eb8555a3ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac868aff0466375197c91b13b73eee2.png)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763246284316672/2766870321651712/STEM/b8831c9a-b14d-4a17-8fdb-f514f7c0caf2.png?resizew=229)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763246284316672/2766870321651712/STEM/da3dad09-d058-46cd-9223-5c100223f190.png?resizew=235)
(1)从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)如果把频率视为概率,从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)根据频率分布直方图,用样本估计总体的方法,试比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2021-07-18更新
|
555次组卷
|
6卷引用:广西梧州市藤县第六中学2021-2022学年高一下学期3月开学考试数学试题
名校
5 . 中国茶文化博大精深,已知茶水的口感与茶叶类型以及水温有关.经验表明,某种绿茶用
的水泡制,再等到茶水温度降至
时饮用,可以产生最佳口感.某学习研究小组通过测量,得到了下面表格中的数据(室温是
).
(1)小组成员根据上面表格中的数据绘制散点图,并根据散点图分布情况,考虑到茶水温度降到室温(即
)就不能再降的事实,决定选择函数模型
来刻画.
①令
,求出
关于
的线性回归方程;
②利用①的结论,求出
中的
与
.
(2)你认为该品种绿茶用
的水大约泡制多久后饮用,可以产生最佳口感?
参考数据:
,
,
,
,
,
,
,
,
.参考公式:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4092baf59df853a740e46b888025a75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9835a4c1cbdb1311f0cd02710210b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2969d81e7c1cc013e2bc059ac498f5.png)
泡制时间![]() | 0 | 1 | 2 | 3 | 4 |
水温![]() | 85 | 79 | 74 | 71 | 65 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2969d81e7c1cc013e2bc059ac498f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ae9b8c89b3c81adde69e7e37764ac8.png)
①令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80dd4e004d378f79fba8daa3e8e8f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②利用①的结论,求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae1d238df4cd22e5e023417ed14abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)你认为该品种绿茶用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4092baf59df853a740e46b888025a75f.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2991113df501d903a20957aa64a23419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2193fd3b42bbf5f88f2c253d2b4b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0737521c040c50c37bdb08b5e21aad6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c076645ba2d10f8539bf9e8bef125ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94165b5ae58656a5fd66e94f445be9c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36c2798787e9c789ab96e7733718df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28eedcf04f49b7d71f30cf339fe558a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f26915f86e9e274278c653e43b77874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5fdf301a01df5d8962ef4ed22caeb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f7f002ade736c40a1dd4d3ff6abb815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4655f737e9dcdd70b51335b41a0134ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed27fa7adab8195964786b3a9f502d0.png)
您最近一年使用:0次
2021-05-07更新
|
740次组卷
|
6卷引用:广西梧州市黄埔双语实验学校2022届高三上学期期中考试数学(理)试题
广西梧州市黄埔双语实验学校2022届高三上学期期中考试数学(理)试题云南省曲靖市第二中学2021届高三二模数学(理)试题云南省曲靖市第二中学2021届高三二模数学(文)试题广西南宁市第三中学2021届高三收网考数学(理)试题(已下线)模块一 专题5 成对数据的统计分析 (人教A)(已下线)模块一 专题3 统计案例 (北师大2019版)