名校
解题方法
1 . 若
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1eb2fe316e6f4b54adca999bba4569.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 已知等差数列
的前n项和为
,且满足
,
,则下列选项正确的有( )
![](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/f4c152686fb59b137d549fff9e7c45d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf1ef7611706085aa5dc8ddba66eb40.png)
A.![]() | B.数列![]() |
C.当n=15时,![]() | D.![]() |
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3 . 已知椭圆
的离心率为
,且过点
.过椭圆
上的点
作圆
的两条切线,其中一条切线与椭圆
相交于点
,与圆
相切于点
,两条切线与
轴分别交于
两点.
的方程;
(2)
是否为定值,若是,请求出
的值;若不是,请说明理由:
(3)若椭圆上点
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90627d25fa0d0e5345c834b96331e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959e5ab675f526dfb54b05f8f82151b8.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/52b33328faae2d2d4921900e97424de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2228629b80d4efbfd2a226a863274520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2228629b80d4efbfd2a226a863274520.png)
(3)若椭圆上点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c81a4d934b8e4565969a8e7921111c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
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4 . 已知数列
的前
项和
满足:
,且
,则
被8整除的余数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a410daf3250f35e984bd84da4f40be9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4144938a510e531b8e25bc102c2ca86.png)
A.4 | B.6 | C.7 | D.5 |
您最近一年使用:0次
名校
5 . 南充市临江新区是2020年7月经四川省人民政府同意成立的四川省第三个省级新区.新区成立后不断推出优惠政策、细化服务、持续加大招商引资力度,吸引了多家企业入驻投资,某高新技术企业入驻该新区后新研发了一种电子产品,该电子产品由甲、乙两个电子元件构成,这两个电子元件在生产过程中的次品率分别为
,
,组装过程中不会造成电子元件的损坏,若有一个电子元件是次品,则该电子产品为次品不能正常工作,现安排质检员对这批产品一一检测,确保无任何一件次品流入市场.
(1)求任取一件产品为次品的概率;
(2)若质检员检测出一件次品,求该产品仅有一个电子元件是次品的概率;
(3)现有两种方案:
方案① 安排两个质检员先分别检测甲、乙这两个元件,次品不进入组装生产线;
方案② 安排一个质检员检测成品,一旦发现成品为次品,则需更换成品中的次品的电子元件,更换电子元件的费用为20元/个;
已知每个质检员每月的工资为4000元,该企业每月生产该产品件![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
件,请从企业获益的角度选择方案.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfdaa01ae7652656f1f0ccad1a2149c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4b4c648f682711076868368d377fc6.png)
(1)求任取一件产品为次品的概率;
(2)若质检员检测出一件次品,求该产品仅有一个电子元件是次品的概率;
(3)现有两种方案:
方案① 安排两个质检员先分别检测甲、乙这两个元件,次品不进入组装生产线;
方案② 安排一个质检员检测成品,一旦发现成品为次品,则需更换成品中的次品的电子元件,更换电子元件的费用为20元/个;
已知每个质检员每月的工资为4000元,该企业每月生产该产品件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391bd47f0e344b04b4e68dd49820ad00.png)
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名校
解题方法
6 . 设甲盒有3个白球,2个红球,乙盒有3个白球,2个红球,现从甲盒任取1球放入乙盒,再从乙盒任取2球.
(1)记随机变量X表示从甲盒取出的红球个数,求
;
(2)求从乙盒取出2个红球的概率.
(1)记随机变量X表示从甲盒取出的红球个数,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0919cf56a1b743189a019551b2d5a0.png)
(2)求从乙盒取出2个红球的概率.
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名校
解题方法
7 . 已知
是圆O:
的直径,M,N是圆O上两点,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac144685e50009fa7c9233d85e8bd85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7683ce32fad2ebca39b05a5c13890e.png)
A.0 | B.-2 | C.-4 | D.![]() |
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2024-06-13更新
|
872次组卷
|
3卷引用:四川省成都市树德中学2023-2024学年高二下学期期末数学试题
名校
解题方法
8 . 假设视网膜为一个平面,光在空气中不折射,眼球的成像原理为小孔成像. 思考如下成像原理: 如图,地面内有圆
,其圆心在线段
上,且与线段
交于不与
重合的点
,
地面,且
,
点为人眼所在处,视网膜平面与直线
垂直. 过
点作平面
平行于视网膜平面. 科学家已经证明,这种情况下圆
上任意一点到
点的直线与平面
交点的轨迹(令为曲线
)为椭圆或圆,且由于小孔成像,曲线
与圆
在视网膜平面上的影像是相似的,则当视网膜平面上的圆
的影像为圆时,圆
的半径
为____________ . 当圆
的半径
满足
时,视网膜平面上的圆
的影像的离心率的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137d33c8575602cb3480ba3825dece9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7442b64b37f685bc3ae88ff450c1a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e92e4810c9461c39fae1acde95e489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3dc6893e52bbca0d011ac46845334d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
您最近一年使用:0次
2024-05-09更新
|
99次组卷
|
2卷引用:四川省成都市实验外国语学校2023-2024学年高二上学期期末能力测评数学试题
9 . 已知
,则
的图象是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a703fa35016143052397882b61ee04b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知点P是曲线
上的点,且点P的横坐标是2,求在点P处的切线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353b27715b12c8020985cee29deffdbc.png)
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