名校
1 . 已知数列
,
,
,
满足
且
,2,
,
,数列
,
,
,
满足
,2,
,
,其中
,
,2,
,
表示
,
,
,
中与
不相等的项的个数.
(1)数列
,1,2,3,4,请直接写出数列
;
(2)证明:
,2,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
(3)若数列A相邻两项均不相等,且
与A为同一个数列,证明:
,2,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140b9dbcada4ac2e5fe3cc30009bcd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84390c669bd7a961e2161106903fa103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61e241c6c220b3b4705a8c1a465d7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e99796887e62d6de33cead5e11c00e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f17923637012a75a01f309379c1909c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a54d5182f8520bfd9e225d835e924bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790aeea3e93a2565637c6e0a41bc8ec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d50740801f1809b06dad5152558069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe0befe2083a287274113203f5ed6f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668d1dcf486145a68016aab72dc6a4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344a2d8d76fad8cbecaffc44f11f907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe59c8f17cdb81bf5305909fa137d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
(3)若数列A相邻两项均不相等,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0157ed29461c0c3559684b07c381a0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
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2023-01-11更新
|
437次组卷
|
2卷引用:北京市第二中学2021-2022学年高二下学期期末数学试题
名校
2 . 根据国家高考改革方案,普通高中学业水平等级性考试科目包括政治、历史、地理、物理、化学、生物6门,考生可根据报考高校要求和自身特长,从6门等级性考试科目中自主选择3门科目参加考试,在一个学生选择的三个科目中,若有两个或三个是文史类(政治、历史、地理)科目,则称这个学生选择科目是“偏文”的,若有两个或三个是理工类(物理、化学、生物)科目,则称这个学生选择科目是“偏理”的.为了了解同学们的选课意向,从北京二中高一年级中随机选取了20名同学(记为
,
,2,
,19,20其中
是男生,
是女生),每位同学都各自独立的填写了拟选课程意向表,所选课程统计记录如表:
(1)从上述20名同学中随机选取3名同学,求恰有2名同学选择科目是“偏理”的概率;
(2)从北京二中高一年级中任选两位同学,以频率估计概率,记
为“偏文”女生的人数,求
的分布列和数学期望;
(3)记随机变量
,样本中男生的期望为
,方差为
;女生的期望为
,方差为
,试比较
与
;
与
的大小(只需写出结论).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f782d70309802445202487eee751cbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc8086120dd40f8b841f0e3d674fd68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e266dafb2e8d23f1a572abc1be2a96fd.png)
学生科目 | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
政治 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |||||||||||
历史 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||
地理 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||
物理 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |||||||
化学 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |||||||||||
生物 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
(2)从北京二中高一年级中任选两位同学,以频率估计概率,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(3)记随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2af47421c0539033d70024966f39835.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0924ce3e7d756f9f222752c9db8fb6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a961e29b5b0773f3fdb8cc7e2ceb8094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bad212e1d9b641464ff6178109167e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517ff073109a22fb321274d83412ebee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0924ce3e7d756f9f222752c9db8fb6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bad212e1d9b641464ff6178109167e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a961e29b5b0773f3fdb8cc7e2ceb8094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517ff073109a22fb321274d83412ebee.png)
您最近一年使用:0次
2023-01-11更新
|
777次组卷
|
6卷引用:北京市第二中学2021-2022学年高二下学期期末数学试题
北京市第二中学2021-2022学年高二下学期期末数学试题北京市海淀区中国人民大学附属中学2023届高三下学期开学摸底练习数学试题北京市人大附中2023届高三下学期2月开学考数学试题北京市广渠门中学2024届高三上学期开学考数学试题(已下线)7.3.2离散型随机变量的方差(分层作业)-【上好课】2022-2023学年高二数学同步备课系列(人教A版2019选择性必修第三册)(已下线)7.3.2 离散型随机变量的方差——课后作业(巩固版)
名校
3 . 设函数
,
,若曲线
上存在一点
,使得点
关于原点
的对称点在曲线
上,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5748527c15e370dcf4230ad2d0e1b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c829c3f2e2765100d9cf414cc2e6203c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.有最小值![]() | B.有最小值![]() |
C.有最大值![]() | D.有最大值![]() |
您最近一年使用:0次
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4 . 下列叙述中,
①等差数列
,
为其前n项和,若
,
,则当
时,
最小;
②等差数列
的公差为d,前n项和为
,若
,则
为递增数列;
③等比数列
的前n项和为
,若
,则
有最小项;
④在等差数列
中,记
,若存在
,使得
,则
为递增数列.
正确说法有______ (写出所有正确说法的序号)
①等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b134439819d3069da709979cb9b1a991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5846713aaecbab35ad985cbe9ad7d44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6cd3173d146902c5518503888c3b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
③等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5c8a6c196890aa7871ea0c82061ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
④在等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134aefab10d3e81e223e9123da5f417e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f29c06a3e9a73e905eb87d71efa201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb50854126e66c09294192ed1db29ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
正确说法有
您最近一年使用:0次
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5 . 香农定理是通信制式的基本原理.定理用公式表达为:
,其中
为信道容量(单位:
),
为信道带宽(单位:
),
为信噪比.通常音频电话连接支持的信道带宽
,信噪比
.在下面四个选项给出的数值中,与音频电话连接支持的信道容量
最接近的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c21280da5add920dff0e366a46bf79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d787ef00aad66473daeb31bd3b65bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72bc766cbead9ec6fb613abe669b0be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c91fa27331e9958df48fd5633432e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4127daf7bda6bd8eda3ca8edd6476979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdddac11848fa96bd1670b77188a0f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-01-04更新
|
200次组卷
|
3卷引用:北京市密云区2022-2023学年高一上学期(12月)数学期末试题
北京市密云区2022-2023学年高一上学期(12月)数学期末试题安徽省马鞍山市第二中学2022-2023学年高一下学期开学考试数学模拟试题(1)(已下线)河南省济源市、平顶山市、许昌市2022届高三文科数学试题变式题1-5
名校
解题方法
6 . 如图,在三棱柱
中,平面
平面
,侧面
是边长为2的正方形,
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/44e29202-58ce-4e59-a9ae-6b55a7711348.png?resizew=199)
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f0d0e78101fef36a75b70ac7e7cf5b.png)
(2)请再从下列三个条件中选择一个补充在题干中,完成题目所给的问题.
①直线
与平面
所成角的大小为
;②三棱锥
的体积为
;③
. 若选择条件___________.
求(i)求二面角
的余弦值;
(ii)求直线
与平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ba5715a95b8de18c637c12c3d30d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f0d0e78101fef36a75b70ac7e7cf5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12b92bb195943c794a3b3cf135d71a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddef39ef9ed3da136c4ed8b5d28b73e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/44e29202-58ce-4e59-a9ae-6b55a7711348.png?resizew=199)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f0d0e78101fef36a75b70ac7e7cf5b.png)
(2)请再从下列三个条件中选择一个补充在题干中,完成题目所给的问题.
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da67af246912670bac6dc860f301383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4fcf607b0710d12aaabd17fd053d83.png)
求(i)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ecc467cf90f9f26cf6902af77427ca.png)
(ii)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f0d0e78101fef36a75b70ac7e7cf5b.png)
您最近一年使用:0次
2023-01-03更新
|
890次组卷
|
3卷引用:北京市海淀实验中学2023届高三上学期期末数学试题
北京市海淀实验中学2023届高三上学期期末数学试题第八章立体几何初步章节验收测评卷-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)重难点突破02 利用传统方法求线线角、线面角、二面角与距离(四大题型)
名校
7 . 已知椭圆
:
和双曲线
:
有公共的焦点F1 (−3, 0),F2 (3, 0),点P是C1 与C2在第一象限内的交点, 则下列说法中错误的个数为( )
①椭圆的短轴长为
;
②双曲线的虚轴长为
;
③双曲线C2 的离心率恰好为椭圆C1 离心率的两倍;
④
PF1F2 是一个以PF2为底的等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbc0404b2ff77232b480bce5289d7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675c20eff35b1d3f37393850e3d7b103.png)
①椭圆的短轴长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbff61fe9d4e93d7cc338489d1c99c40.png)
②双曲线的虚轴长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
③双曲线C2 的离心率恰好为椭圆C1 离心率的两倍;
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
A.0 | B.1 | C.2 | D.3 |
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2卷引用:北京大学附属中学2022-2023学年高二上学期期末复习数学试题(2)
8 . 公元前 4 世纪, 古希腊数学家梅内克缪斯利用垂直于母线的平面去截顶角分别为锐角、钝角和直角的圆锥,发现了三种圆锥曲线.之后,数学家亚理士塔欧、欧几里得、阿波罗尼斯等都对圆锥曲线进行了深 入的研究.直到 3 世纪末,帕普斯才在其《数学汇编》中首次证明:与定点和定直线的距离成定比的点的轨迹是圆锥曲线, 定比小于、大于和等于 1 分别对应椭圆、双曲线和抛物线.已知
是平面内两个定点, 且 |AB| = 4,则下列关于轨迹的说法中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.到![]() |
B.到![]() |
C.到![]() |
D.到![]() |
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3卷引用:北京大学附属中学2022-2023学年高二上学期期末复习数学试题(2)
北京大学附属中学2022-2023学年高二上学期期末复习数学试题(2)上海市上海师范大学附属中学2023-2024学年高二上学期期中考试数学试卷(已下线)专题11圆锥曲线单元复习与测试(21个考点25种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)
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9 . 下列关于圆
:
的说法中正确的个数为( )
①圆
的圆心为
,半径为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
②直线
:
与圆
相交
③圆
与圆
:
相交
④过点
作圆
的切线,切线方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc7538878994b0af1babf9fed7a2ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bcfcc5fdcec676875e253087acc568.png)
①圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cb0a28d72b7e7eacc877e97bc7ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f983a7d38abfdbcd2f250ff8d4e4fec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0912d25d00db4d6f600d09b633b8165e.png)
④过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3f986a4f053c576c8a58c7debc8829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc7538878994b0af1babf9fed7a2ea1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:北京大学附属中学2022-2023学年高二上学期期末复习数学试题(2)
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10 . 小明正在考数学期末模拟,写到了填空题的第15题,只有完全选对得5分,一旦错选或者少选得0分.已经题目有四个选项①②③④,小明根据平日掌握的知识和方法很快判断出了①正确,④错误.②③无法确定,但是小明依然冷静地分析后判断:②有
的可能性是对的,③有
的可能性是对的,假设小明判断正确,那么他应该选择______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
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