名校
解题方法
1 . 乒乓球被誉为我国的“国球”,一个标准尺寸乒乓球的直径是
,其表面积约为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3492bb1105813fb7cb9bda343be590bb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-24更新
|
481次组卷
|
3卷引用:山西省部分学校2024届高三下学期一模考试数学试卷
2 . 设
是坐标原点,抛物线
的焦点为
,点
,
是抛物线
上两点,且
.过点
作直线
的垂线交准线于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee808a07c981406a44a69cb124792071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.过点![]() |
B.![]() |
C.![]() ![]() |
D.直线![]() ![]() |
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解题方法
3 . 在双曲线型冷却塔(如图)的建设过程中,人员、物料的运输一直是困扰施工的难题,经实践探索设计出“附墙升降机”,其结构如图所示,安装之后附着在冷却塔的外侧,通过升降吊笼完成输送任务.假设该冷却塔的最小半径为
,上口半径为
,下口半径为
,高为
.附墙升降机轨道在
点以下与冷却塔贴合,从
点到顶端
点是竖直的,则
长约为______
(保留整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e978c77cb0d7eff794447241e9829867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e685c2fe2f54fa7947538472cd7caa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146ea9ed5176797da555a70bbe9602c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3cfb60f4ba5c477a86c304229a40716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/2373661e-f2d6-4f0f-86ec-7cf35306251e.png?resizew=164)
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解题方法
4 . 已知椭圆的焦点是椭圆
的顶点,椭圆
的焦点也是
的顶点.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654317ca05d25fee978869723ba8d0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c5db73d81da5525d4d35885dac04f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
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5 . 某果园种植了一种水果,现随机抽取这种水果的成熟果实200个,统计了这200个果实的果籽数量,得到下列频数分布表:
(1)求这200个果实的果籽数量的第75百分位数与平均数.
(2)已知这种水果的成熟果实的果籽数量会影响其市场售价,每个果实的果籽数量与果实的价格如下表所示:
以这200个果实的果籽数量各自对应的频率作为该果园这种成熟果实的果籽数量各自对应的概率,从该果园的这种成熟果实中任选2个,在被选的成熟果实中至少有1个的果籽数量为1的前提下,设这2个果实的市场售价总和为
元,求
的分布列与数学期望.
果籽数量 | 1 | 2 | 3 | 4 |
水果数 | 100 | 50 | 40 | 10 |
(2)已知这种水果的成熟果实的果籽数量会影响其市场售价,每个果实的果籽数量与果实的价格如下表所示:
果籽数量 | 1 | 2 | 3 | 4 |
价格/元 | 20 | 12 | 8 | 6 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
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6 . 某羽毛球超市销售4种品牌(品牌
,
,
,
)的羽毛球,该超市品牌
,
,
,
的羽毛球的个数的比例为
,品牌
,
,
,
的羽毛球的优品率分别为0.8,0.9,0.7,0.6.若甲不买这4个品牌中的1个品牌的羽毛球,他从其他3个品牌的羽毛球中随机选取1个购买,已知他买到的羽毛球为优品的概率大于0.8,则可推测他不买的羽毛球的品牌为__________ (填入
,
,
,
中的1个).
![](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/8455657dde27aabe6adb7b188e031c11.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bf4769cb0c7cc486777d1663a639d5.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/8455657dde27aabe6adb7b188e031c11.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/8455657dde27aabe6adb7b188e031c11.png)
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7 . 若一个正
棱台的棱数大于15,且各棱的长度构成的集合为
,则
的最小值为__________ ,该棱台各棱的长度之和的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472fa47c4794990274f0c1eca7b1087f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
8 . 双曲线
的左、右焦点分别为
,
,
为
的右支上一点,分别以线段
,
为直径作圆
,圆
,线段
与圆
相交于点
,其中
为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50dbcecd99fa41926a7bdbb75e8e556e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a50ebd1b174cab382f6cbc82f92bf3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a455c83c7d8e4f9a91340eab24896e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() |
B.![]() |
C.点![]() ![]() ![]() |
D.圆![]() ![]() ![]() |
您最近一年使用:0次
2024-02-14更新
|
874次组卷
|
4卷引用:山西省晋城市2024届高三一模数学试题
名校
解题方法
9 . 如图,在正四棱柱
中,
,
,
,平面
将该正四棱柱分为上、下两部分,记上部分对应的几何体为
,下部分对应的几何体为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6ce2b1490c1701906bd56cf5187ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667e1ae8303bb4ac047a3dc3cd01e0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c04f638fa7af24970c72c494b507989.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.平面![]() ![]() |
您最近一年使用:0次
2024-02-14更新
|
1220次组卷
|
3卷引用:山西省晋城市2024届高三一模数学试题
解题方法
10 . 若一个函数在区间上的导数值恒大于0,则该函数在
上纯粹递增,若一个函数在区间
上的导数值恒小于0,则该函数在
上纯粹递减,则( )
A.函数![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次