名校
解题方法
1 . “我上春山,约你来见”,重庆市育才中学校2024读书节之“上春山读书赏读会”于2024年4月1日拉开帷幕,主办方为同学们提供了丰富多彩的活动,其中有一栏名为“用诗意串联灵感与创意”的活动,同学们需要从主持人给出的4个校园景观和2个植物名称的名词牌中随机选出2个,结合自己的语言完成连词成句.记事件
“该同学选出的两个名词牌中至少有一个是校园景观”,事件
“该同学选出的两个名词牌中至少有一个是植物名称”.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
A.事件![]() ![]() | B.事件![]() ![]() |
C.![]() | D.![]() |
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2 . 在半径为1的圆
中作内接正方形
,作正方形
的内切圆
,再作圆
的内接正方形
,依此方法一直继续下去.我们定义每作出一个正方形为一次操作,则至少经过( )次操作才能使所有正方形的面积之和超过
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb2204c3e822887f98b7ab08bd24a36.png)
A.9 | B.10 | C.11 | D.12 |
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解题方法
3 . 已知在
中,
的面积为
.
的度数;
(2)若
是
上的动点,且
始终等于
,记
.当
取到最小值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d80664a665cbdff97f0c2c47541d71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c3a75358a870c58549cf88b82fcc18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4538fa852e0f4961d442e9d5b96a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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解题方法
4 . 函数
在
的最大值为m,在
的最大值为n,则以下命题为假命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c65d71e57e6e7697e2f627dcd58583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983fa8d30993077d136d644a4de7a394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca44b51af56d89266c3aba528d8a8d0.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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解题方法
5 . 下列选项正确的有( )
A.若![]() ![]() ![]() |
B.复数![]() ![]() ![]() ![]() ![]() ![]() |
C.若复数![]() ![]() ![]() ![]() |
D.若复数![]() ![]() ![]() |
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解题方法
6 . 如图所示的几何体是由圆锥
与圆柱
组成的组合体,其中圆柱的轴截面
是边长为2的正方形,圆锥的高
,M为圆柱下底面圆周上异于A,B的点.
∥平面
;
(2)若
,求直线
与平面
所成角的正切值的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a8c34f622f1b979feed5ae6ae5d0e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0a4f38420bb9215dbc9c875b755838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55a6b8045f2d6429ac49997c1124a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08452588675f76da2f8d31387b3a8224.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b10c2bc31ab83c89237b93159ae64c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08452588675f76da2f8d31387b3a8224.png)
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解题方法
7 . 已知
两个盒子中各有一个黑球,一个白球.每次从两个盒子中各随机取出一个小球交换后放回.记
次交换后,
盒子中有一黑一白两个小球的概率为
盒子中黑球的个数为
.
(1)求
;
(2)求
的数学期望
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f78093af1942339f74a1ec6e99aaab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0f3799612b81e85b87241ec8eee68.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0f3799612b81e85b87241ec8eee68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6522c8c52be9ae43994b0cfccaa887f.png)
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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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4卷引用: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
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(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
9 . 海宝塔位于银川市兴庆区,始建于北朝晚期,是一座方形楼阁式砖塔,内有木梯可盘旋登至顶层,极目远眺,巍巍贺兰山,绵绵黄河水,塞上江南景色尽收眼底.如图所示,为了测量海宝塔的高度,某同学(身高173cm)在点
处测得塔顶
的仰角为
,然后沿点
向塔的正前方走了38m到达点
处,此时测得塔顶
的仰角为
,据此可估计海宝塔的高度约为__________ m.(计算结果精确到0.1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e0c2455a9e796bba6861503f0fe31b.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea06b78df3f0847f358714357a18d30.png)
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3卷引用:宁夏回族自治区银川九中、平罗中学、贺兰二高、西吉中学2024届高三第四次模拟考试联考数学(文)试题
宁夏回族自治区银川九中、平罗中学、贺兰二高、西吉中学2024届高三第四次模拟考试联考数学(文)试题福建省福州市部分学校教学联盟2023-2024学年高一下学期期末模拟考试数学试题(已下线)【高一模块一】难度8 小题强化限时晋级练(较难2)
10 . 设抛物线
的焦点为
,
是
上的一个动点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.点![]() ![]() ![]() |
B.点![]() ![]() ![]() |
C.以![]() ![]() |
D.记点![]() ![]() ![]() ![]() |
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