名校
解题方法
1 . 作为一种新的出游方式,近郊露营在疫情之后成为市民休闲度假的“新风尚”.我市城市规划管理局拟将近郊的一直角三角形区域按如图所示规划成三个功能区:
区域为自由活动区,
区域规划为小型鱼塘养鱼供休闲垂钓,
区域规划供游客餐饮休息用.为安全起见,预在鱼塘
四周围筑护栏.已知
,
,
,
.
时,求护栏的长度(
的周长);
(2)若鱼塘
的面积是“餐饮休息区”
的面积的
倍,求
;
(3)当
为何值时,鱼塘
的面积最小,最小面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cee975a18902203254aa21d541c671f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f30bb9fbf908f410572cd8e1aea0b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5854b6521f9f19659429add18ac058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3bc8fd3cb142574f9efd73deca8dbff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5cf48407af008db11eb4f236691d741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc798f8db4d63d1734e7f47740a5793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
(2)若鱼塘
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f30bb9fbf908f410572cd8e1aea0b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e520cef3cebf757a24737ffb661834.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e520cef3cebf757a24737ffb661834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
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462次组卷
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3卷引用:福建省厦门外国语学校2023-2024学年高一下学期第二次月考数学试卷
福建省厦门外国语学校2023-2024学年高一下学期第二次月考数学试卷江苏省五市十一校2023-2024学年高一下学期5月阶段联测数学试卷(已下线)专题1 以实际问题为背景的解三角形问题【练】(高一期末压轴专项)
解题方法
2 . 如图,在四棱锥
中,底面
是正方形,
平面
,且
,点E为线段PD的中点.
平面
;
(2)求证:
平面
;
(3)求三棱锥
的体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b10835116b9b777a666b438c907b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa69a2247ad4d5231aa361349b12f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e73fe210736ce7b30b039d34587e3c1.png)
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3 . 文明城市是反映城市整体文明水平的综合性荣誉称号,作为普通市民,既是文明城市的最大受益者,举办了“创建文明城市”知识竞赛,从所有答卷中随机抽取100份作为样本(满分100分,成绩均为不低于40分的整数)分成六段:
,
,…,
.
(2)求样本成绩的第75百分位数;
(3)已知落在
的平均成绩是61,方差是7,
的平均成绩为70,方差是4,求两组成绩的总平均数
和总方差
.
![](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/13a0dc3b0349c53d7bf36dfe97958cea.png)
(2)求样本成绩的第75百分位数;
(3)已知落在
![](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/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671f43c79d612c93a6d160335e86e177.png)
您最近一年使用:0次
解题方法
4 . 已知
是复数,
为实数,
为纯虚数(
为虚数单位) .
(1)求复数
;
(2)求
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf883aa12fa8e6da300253195f485de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79495891db61dcff5ffb44197043d097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbeaada495870b36c4d17a3caa624704.png)
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名校
5 . 已知函数
.
(1)若函数
在点
处的切线与直线
平行,求函数
的极值;
(2)若
,
,
,求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e4a742506e14ee1eff54cc34f198ce.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36eaa4e819d4643ce02c8f3abf78b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5a59dd9b5bb24f5e1f9edadc6882a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
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今日更新
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196次组卷
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2卷引用:福建省福州市闽侯县第一中学2023-2024学年高二下学期第二次月考(5月)数学试题
名校
6 . 在某诗词大会的“个人追逐赛”环节中,参赛选手应从10个不同的题目中随机抽取3个题目进行作答.已知这10个题目中,选手甲只能正确作答其中的7个,选手乙正确作答每个题目的概率均为0.7,而且甲、乙两位选手对每个题目作答都是相互独立的.
(1)求选手乙正确作答2个题目的概率;
(2)求选手甲正确作答的题目个数的概率分布列和数学期望;
(3)从期望和方差的角度分析,你认为甲、乙两位选手谁晋级的可能性更大?请说明理由.
(1)求选手乙正确作答2个题目的概率;
(2)求选手甲正确作答的题目个数的概率分布列和数学期望;
(3)从期望和方差的角度分析,你认为甲、乙两位选手谁晋级的可能性更大?请说明理由.
您最近一年使用:0次
名校
解题方法
7 . 已知函数
在
时取得极大值3.
(1)求实数
,
的值;
(2)求函数
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f5ae606238b7da9fab86d126378bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
您最近一年使用:0次
名校
解题方法
8 .
年九省联考后很多省份宣布高考数学采用新的结构,多选题由
道减少到
道,分值变为一题
分,多选题每个小题给出的四个选项中有两项或三项是正确的,全部选对得
分,有错选或全不选的得
分
若正确答案是“两项”的,则选对
个得
分
若正确答案是“三项”的,则选对
个得
分,选对
个得
分
某数学兴趣小组研究答案规律发现,多选题正确答案是两个选项的概率为
,正确答案是三个选项的概率为
其中
.
(1)在一次模拟考试中,学生甲对某个多选题完全不会,决定随机选择一个选项,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
,求学生甲该题得
分的概率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
(2)针对某道多选题,学生甲完全不会,此时他有三种答题方案:
Ⅰ
随机选一个选项
Ⅱ
随机选两个选项
Ⅲ
随机选三个选项.
若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
,且学生甲选择方案Ⅰ,求本题得分的数学期望![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
以本题得分的数学期望为决策依据,
的取值在什么范围内唯独选择方案Ⅰ最好
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0474a66dcdf88bde5beabc5adbd58402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a15a5ae975912f37b876cbf8c546fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c27aefc2917776f72f95c675b638d20.png)
(1)在一次模拟考试中,学生甲对某个多选题完全不会,决定随机选择一个选项,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
(2)针对某道多选题,学生甲完全不会,此时他有三种答题方案:
Ⅰ
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3493090ac9f2ba0670c837f08154da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3493090ac9f2ba0670c837f08154da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3493090ac9f2ba0670c837f08154da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3067f0f3fe2606168b402a956e73d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1d918e7fb74176679d526cdfc8fa16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1756e209e9538fc4348d9cab8caac438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bbee662e242611afdbdae4b8a36a7c.png)
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816次组卷
|
5卷引用:福建省南安市侨光中学2023-2024学年高二下学期第2次阶段考试(5月月考)数学试题
福建省南安市侨光中学2023-2024学年高二下学期第2次阶段考试(5月月考)数学试题重庆市求精中学校2023-2024学年高二下学期第二阶段考试数学试题山东省淄博实验中学2023-2024学年高二下学期第二次诊断考试(6月月考)数学试题江西省宜春市樟树中学2024届高三下学期高考数学仿真模拟试卷(已下线)专题04 随机变量及其分布类常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第二册)
名校
解题方法
9 . 不透明的袋子中装有6个红球,3个黄球,这些球除颜色外其他完全相同.从袋子中随机取出4个小球.
(1)求取出的红球个数大于黄球个数的概率;
(2)记取出的红球个数为X,求X的分布列与期望.
(1)求取出的红球个数大于黄球个数的概率;
(2)记取出的红球个数为X,求X的分布列与期望.
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|
620次组卷
|
4卷引用:福建省泉州市安溪第一中学2023-2024学年高二下学期5月份质量检测数学试题
福建省泉州市安溪第一中学2023-2024学年高二下学期5月份质量检测数学试题吉林省吉林市第一中学等校2023-2024学年高二下学期5月期中联考数学试题(已下线)专题06 离散型随机变量与正态分布--高二期末考点大串讲(苏教版2019选择性必修第二册)内蒙古自治区赤峰市红山区部分学校2023-2024学年高二下学期5月期中联考数学试题
10 . 如图,在菱形
中,
的余弦值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7207646d70b9977b0b21802f516dd2ea.png)
为
靠近
的三等分点,将
沿直线
翻折成
,连接
和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a20a34a32c99dd1ea2cd8248f5ddaf2.png)
,
平面
;
(2)判断线段
的长是否为定值?若是,请求出线段
的长,若不是,请说明理由;
(3)求二面角
的正切值的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82341fa5d08acaeb7d162be4d7653c60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7207646d70b9977b0b21802f516dd2ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e054544e4ece645f5e06c9d24a8b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a20a34a32c99dd1ea2cd8248f5ddaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8986820de825f30645f96c06d316b5ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84906b1f3675e696c9679463e6e79271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21533755bc8c6cb3a01cdb2ebd5ddf88.png)
(2)判断线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43aa73e732c0fc434b39b0bae6e2d786.png)
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