解题方法
1 . 用底面半径为
的圆柱形木料车出7个球形木珠,木珠的直径与圆柱形木料的高相同.下料方法:相邻的木珠相切,与圆柱侧面接触的6个木珠与侧面相切,如图所示是平行于底面且过圆柱母线中点的截面.则7个木珠的体积之和与圆柱形木料体积之比为( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/0ca2c15e-04f7-4118-a3cc-7048425c8307.png?resizew=118)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976260cbf5e30856d4fd37a4b0a671a7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/0ca2c15e-04f7-4118-a3cc-7048425c8307.png?resizew=118)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 人耳的听力情况可以用电子测听器检测,正常人听力的等级为
(分贝),并规定测试值在区间
为非常优秀,测试值在区间
为优秀.对500人进行了听力测试,从中随机抽取了50人的测试值作为样本,制成如图频率分布直方图,从总体的500人中随机抽取1人,估计其测试值在区间
内的概率为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a430e68258436ae5d881e5510d6ee54c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9827ef37588add5a98f18ce4b82b19cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09753755217ec8a2383765cfbf05300e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53122883c5cd4bdd80ab80698d628e14.png)
A.0.2 | B.0.8 | C.0.02 | D.0.08 |
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2023-02-17更新
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593次组卷
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8卷引用:天津市南开区2022-2023学年高三上学期12月阶段性质量监测(二)数学试题
天津市南开区2022-2023学年高三上学期12月阶段性质量监测(二)数学试题广东省汕头市潮阳黄图盛中学2024届高三上学期校内质检(三)数学试题(已下线)章节综合测试-概率(已下线)10.2-10.3 事件的相互独立性、频率与概率(分层练习)(已下线)10.3.1 频率的稳定性 (分层作业)(已下线)10.3 频率与概率(精讲)-【题型分类归纳】(已下线)15.2 随机事件的概率-【题型分类归纳】(已下线)10.3.1&10.3.2?频率的稳定性、随机模拟——课后作业(基础版)
3 . 如图是一个圆台的侧面展开图(扇形的一部分),若两个圆弧
、
所在圆的半径分别是
和
,且
,则该圆台的高为______ ;表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c44512cb86bcf48c6d21357f45b533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aedf65d7d930fdb972d4802c0dea8b5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/17/a73e7f3c-f85e-457a-9bf3-aac272a9b243.png?resizew=167)
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解题方法
4 . 在
中,
,在
所在平面内的一点
满足
,当
时,
的值为______
取得最小值时,
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69550d878381f6e8fb436e88638f070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e09d781654672fc40658b89830b7641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f263f0dd26b5fd6f64c6f5b43f9be9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0ab9afeba3ffd4939a81f90d00f069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-01-05更新
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621次组卷
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3卷引用:天津市第一中学2022-2023学年高三上学期第三次月考数学试题
天津市第一中学2022-2023学年高三上学期第三次月考数学试题天津市第四十二中学2022-2023学年高三下学期第二次月考数学试题(已下线)第07讲 6.3.2-6.3.4平面向量数乘运算的坐标表示(1)-【帮课堂】(人教A版2019必修第二册)
名校
5 . 已知椭圆
中心在原点,右焦点
,离心率为
.
(1)求椭圆
的标准方程;
(2)若椭圆左右顶点分别为
和
,
为椭圆位于第二象限的一点,在
轴上存在一点
,满足
,设
和
的面积分别为
和
,当
时,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若椭圆左右顶点分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77015af879889ba7a37fcd39d1a89ea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50afa1c347f3ba8a299e6087c421a162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a448e3f559673a699896a665faac49d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279e4bfdfc398ef4ac7eed1e00ee15a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
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6 . 已知函数
有最大值
,
(1)求实数
的值;
(2)若
与
有公切线
,求
的值.
(3)若有
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91c20849a830a86f287b7913a7b4652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845e5670761cc50147a6f50bc2a30b60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c939c087e55933859467ac8c5c57dfce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a18d6ca6f17a219faad5eebc5ec5f1.png)
(3)若有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b867c903bdbadb2f47301f64fa3213f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a18d6ca6f17a219faad5eebc5ec5f1.png)
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7 . 已知在四边形
中,
为等边三角形,
,点
为
边(含端点)上的动点,
与
相交于点
.当点
为
中点时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1f382ba3c3cd9322522a8d4e4042a5.png)
______ ;当点
在
边上运动时,若点
满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a450aecb61add1c2177f20a0f6b700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1f382ba3c3cd9322522a8d4e4042a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706c514e8247d28d251b678227fc6a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0601b43cf2c5fd7946c2e3a7829d4.png)
![](https://img.xkw.com/dksih/QBM/2022/12/12/3129487066177536/3130574068473856/STEM/3fa07ff10fc34bd6b0561cfd22447f29.png?resizew=176)
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2022-12-14更新
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841次组卷
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2卷引用:天津市实验中学2022-2023学年高三上学期第二阶段学习质量检测数学试题
解题方法
8 . 在本次考试中,一共9道选择题,甲同学每道选择题答对的概率均为
,乙同学每道选择题答对的概率均为
,且两位同学每道题答对与否相互独立.用
表示甲同学本次考试中选择题答对的题目数量,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
__________ .记“在本次考试中甲同学答对4道题而乙同学答对5道题”为事件
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec9af00edd01a11128d583016479313.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec9af00edd01a11128d583016479313.png)
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解题方法
9 . 如图所示,已知直线l与圆C相切于点
,且圆心C的坐标为
.求:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/f05040bd-79e9-42ec-be61-7fb7327241fa.png?resizew=158)
(1)圆C的标准方程;
(2)直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0210da9839dce53ae6f0533764d24ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/f05040bd-79e9-42ec-be61-7fb7327241fa.png?resizew=158)
(1)圆C的标准方程;
(2)直线l的方程.
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解题方法
10 . 若
,
,
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65d8be5bf958cdf7e6369915fea7358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9e2aa63624060d254ef9b6bb4cb163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940610d1cfea8b5a4397ea3b3e50df73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b992e311c6515d0f1e4c23808191d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bcb0069e21d9a8bdc38f3ec319a7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b784231891c3357be45d81afbb5d8490.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-10-11更新
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182次组卷
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3卷引用:天津市汇文中学2022-2023学年高一上学期第一次阶段性测试数学试题
天津市汇文中学2022-2023学年高一上学期第一次阶段性测试数学试题天津市汇文中学2022-2023学年高一上学期第一次基础能力阶段性测试数学试题(已下线)重难点01集合与常用逻辑用语(9种解题模型与方法)(2)