充值 服务号
首页 > 试卷详情页
黑龙江省哈尔滨市第九中学2019-2020学年高二上学期期中数学理试题
适用年级:高二 试卷类型:期中 试题总数:22 浏览次数:88 上传日期:2020-04-01
1 . 抛物线eqId7bee6978188343bdb8cc62594dd2f3f1的焦点到准线的距离是(   )
A.eqId231e56cfb91a489890b9c771c5aad8e9B.eqIde41289c7307b48bd893a195b321d250fC.eqId767acf51abfd4d97a757561d1a882151D.1
更新:2020/04/01难度:0.94题型:单选题组卷:42
2 . 若椭圆eqId45ecb5e11ead4301acc479679d9d97f1过点(-2,eqIda2a0ce3781fa4c26b624f5966b7dee44),则其焦距为           (   )
A.2eqIdcd9b24a6a6e5426ab775be20461174e3B.2eqIda2a0ce3781fa4c26b624f5966b7dee44C.4eqIda2a0ce3781fa4c26b624f5966b7dee44D.4eqIdcd9b24a6a6e5426ab775be20461174e3
更新:2020/04/01难度:0.65题型:单选题组卷:568
3 . 已知原命题“若eqId316e2199840e418e87252dba1d7d7ffd,则eqIdfd17278f1ec6422c9ae3a163e364d741”,那么原命题与其逆命题的真假情况是(   )
A.原命题为真,逆命题为假B.原命题为假,逆命题为真
C.原命题与逆命题均为真命题D.原命题与逆命题均为假命题
更新:2020/04/01难度:0.85题型:单选题组卷:16
4 . 点eqIddee0c009d1b34282be381d35d32100f8是圆eqId5e3b862d7aaa4214960e63143cf67c92内的定点,动圆M与已知圆相切,且过点P,如图,则圆心M的轨迹方程为(   )
figure 
A.eqId7de347adaf0b419e98d035d3d75944b6B.eqId59bc86495cca4c85b0931154bfa16016C.eqIdc5ecf5c8a6a64d7492c7a2876523baedD.eqIdd6b86d2031f040fa942bba05a1c2c043
更新:2020/04/01难度:0.85题型:单选题组卷:59
5 . 以椭圆短轴为直径的圆经过此椭圆的焦点,则椭圆的离心率是(   )
A.eqId767acf51abfd4d97a757561d1a882151B.eqId5f816d038c584dc7a249120298677ef3C.eqIdcf32b3b919f04cc18988c622e750e9f1D.eqId18c57999a18a435b8420e97c41639876
更新:2020/04/01难度:0.94题型:单选题组卷:42
6 . 已知双曲线eqId1746432976a947dfb1ce307f25c5474e的左右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,若双曲线左支上有一点eqId2381423d4cd146cab95f55527681a766到右焦点eqIdde963a24921f4ee7a991bf9d4f43a42e距离为eqIdd7225001a06642ef81093263e6a2f9aceqId517584fed25c413ba8b7bb33ffa2d5c6eqId4980d37b36ed4f39a9959e9c4b168479的中点,eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,则eqIdee3787fb485c4d1093cd300b530e476d等于()
A.eqId5f51ce9cc7fe4412baeb871cceb26665B.eqId37705e1ef6a84bbdbe88433e75932cdfC.eqIdc052ddfbd4524f67a79e0e77c2e5656aD.eqIdddd35c5d043e4ebeac32a99367053c68
更新:2020/04/01难度:0.85题型:单选题组卷:850
7 . 设抛物线y2=8x的焦点为F,准线为l,P为抛物线上一点,PA⊥l,A为垂足.如
果直线AF的斜率为eqId620dca3ba21042289ffea879bd4c1caf,那么|PF|=
A.eqIdeed06b4fd976409cb06a7c6f50aa7b55B.8C.eqId33726333255547c3a7edf07aca8d2b98D.16
更新:2020/04/01难度:0.65题型:单选题组卷:223
8 . 已知双曲线eqIdceed1a7797e443d9abdce2f0c8179d8e的离心率为2,且与椭圆eqId2ce3d7714a89436ba199f4099f1a2244有相等的焦距,则C的方程为(   )
A.eqId415d9e2a848c48aaa15f349564d3fe77B.eqIddd4eab4e55af47e1a2f8e789b937d4a7C.eqId24f04fa0265e47d4b3ee4c188a9504d7D.eqId743335de8b6c425386dd4ad9aa117fde
更新:2020/04/01难度:0.85题型:单选题组卷:70
9 . 一个正三角形的三个顶点都在抛物线eqIdd050af449075401299cc78c647d310e8上,其中一个顶点在原点,这个三角形面积为(   )
A.eqId8622c5eb2c3c48b0b632648eea1698d1B.eqIddbf88414577842e198b1155a1446143eC.eqIde3ebb54662eb4dfc8a7673fe52775215D.eqId1cff2aa287b54d72a6cf5dae63a5d954
更新:2020/04/01难度:0.85题型:单选题组卷:15
10 . 双曲线eqId0f14428848fa4e8cbdaccdcb9711090d经过一、三象限的渐近线斜率为k,当eqId731be964bf5b451a8559f8fb04a7029d时,则双曲线离心率的取值范围(   )
A.eqId521457dd3b824811ac49f07ef9e7a442B.eqId49d79a04cbfc4b798bd3c1a309d7cbb5C.eqId6255e55be81649f292749853a9dbb92dD.eqId9d4b7394307a4157bfb96e0524148832
更新:2020/04/01难度:0.65题型:单选题组卷:19
11 . 设eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e分别为椭圆eqIdcfc8599bedfb4ab4944abf141f348a9aeqId153590f6ddf44db994d6fe3eff56da42与双曲线eqId3a63d00111554b9e8b896929779a293deqIdfc40843fe7db4992aa2131c3f10b37c0的公共焦点,它们在第一象限内交于点eqId2381423d4cd146cab95f55527681a766eqId25a148afe745401691583d3cd26c86dd,若椭圆的离心率eqId180b832cbcde4c038ffc5a28137e8eaf,则双曲线eqId3a63d00111554b9e8b896929779a293d的离心率eqId995e0865ec2840f1a51e3635ece970d5的值为(  )
A.eqId0c34b200ff98472c81a84cd8f0116762B.eqIda153c848bd2847b4a61b1487a5a5079bC.eqId57b3d7f61b5e48a1a1c959fa66d74726D.eqId737d7241bd534a9b8645a03265240eb4
更新:2020/04/01难度:0.4题型:单选题组卷:2494
12 . 如图,已知抛物线eqIdd050af449075401299cc78c647d310e8的焦点为F,过点eqId7b41d6b73fb2488a837b4329f9cbed3c的直线交抛物线eqIde48bfb65dcde45fc9cab85499b67171b两点,直线eqIdcda34010420d430daefcd381a9aff488分别与抛物线交于eqId71891062a8724584af9a2c4c77cd566e点,记直线eqId996e2048847f41d5a5fe0e2282909254的斜率为eqIdd4bf9298f0db4fb5afb67e0d739f3074,直线eqId99a3187c2b8f4bcc9703c74c3b72f1f3的斜率为eqId75fdb198d83447e59e31c1f4923cc3bc,则eqIdd67286fdba7d44ceb6c718acbb2fd973(   )
figure
A.1B.2C.3D.4
更新:2020/04/01难度:0.4题型:单选题组卷:100
13 . 命题“eqId51db82f003ad4fa4b401501380774426eqIdf3832b31dcca4ce8baa582910daf9359”为假命题,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是________
更新:2020/04/11难度:0.85题型:填空题组卷:139
14 . 如果椭圆eqIdb25917ce448b493686b48c9f2a6999af的弦被点(4,2)平分,则这条弦所在的直线方程是________
更新:2020/05/11难度:0.4题型:填空题组卷:1611
15 . 已知过抛物线eqIdd050af449075401299cc78c647d310e8的焦点F的直线交该抛物线于eqIdeb53cb7cb0274f7d8f111c60f824c243两点,eqId645e3223969c445da7bd86e5f4464bf2eqIded6ecbb0b6984bfdafe9930c5de30c7f_____________.
更新:2020/04/01难度:0.65题型:填空题组卷:17
16 . 已知椭圆方程为eqId15bfbddeee0143e08c809ecf76ffb129,过椭圆外一点P可以做出两条切线(如图一),我们形象的称为“筷子夹汤圆”.若P点在变化过程中,保持两根“筷子”垂直不变,则P到原点的距离始终为一个定值,即P的运动轨迹为一个以原点为圆心,半径为定值的一个圆,我们把该圆称为椭圆的“准圆”,试写出该“准圆”的方程是______________.若矩形eqId5ce7a06ae7a34393b92b5277978ac014的四条边都与该椭圆相切(如图二),则矩形eqId5ce7a06ae7a34393b92b5277978ac014的面积最大值为___________________.figurefigure
更新:2020/04/01难度:0.65题型:双空题组卷:35
17 . 已知eqId30c04772541746dc8e58eed48ea982daeqIdf49856bed12d44cbae9be0dd622d4d51的充分而不必要条件,则实数m的取值范围是       
更新:2020/04/01难度:0.65题型:填空题组卷:746
18 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,点B与点eqIdd614ae2e830742a2a096101490dd99ae关于原点O对称,P是动点,且直线eqIdc390e4cf2bc742088263f6b3d1902201eqId9874be182ac5442da8f8776761ba98a5的斜率之积等于eqId4adf22999d4e47da945bc7c62e3f9824,求动点P的轨迹方程.
更新:2020/04/01难度:0.94题型:解答题组卷:80
19 . 已知抛物线eqId294af0137a7a4b2f873817ba8fbafb44的准线过点eqIdbe1458080a8c442fbbc83863be99bb06,若过焦点F的直线eqId417e80f1349244878d01fe90e0891f5f与抛物线交于AB两点,若AB两点的横坐标之和为eqId74cb882ded0b46938a9f0e630101a97c.
(1)求eqId4819509fefec4542acccfcf3d67cd699
(2)若P是抛物线上的一个动点,设eqIdd19676f8de0241efb2c8da9655ecc559,求eqId1d6b3ea325c14deaa281f496ff6c7198的最小值.
更新:2020/04/01难度:0.65题型:解答题组卷:44
20 . 已知抛物线eqId8e730f878ba94056ba4273ba34cb2ffc的焦点为F,斜率为eqId57b3d7f61b5e48a1a1c959fa66d74726的直线eqId417e80f1349244878d01fe90e0891f5fC的交点为AB,与x轴的交点为P,若eqId873edfe07c7943d3b566b011346dbec3,求eqId4819509fefec4542acccfcf3d67cd699.
更新:2020/04/01难度:0.65题型:解答题组卷:14
21 . 已知椭圆eqId6b1b4ba5059743deb45628b01f912083的一个顶点为eqId7771972ef0dc4028ac680ad049894620,离心率为eqIdb3027a6d3b824ce893ad42c3eb946e66
(Ⅰ)求椭圆eqId4a3667cfc5e5411f9c547c91a9427716的方程;
(Ⅱ)设过椭圆右焦点的直线eqId7da8e748ec7e49b893ebfc73e331b4c2交椭圆于eqId59577bce81ec4444a25436acd4d7154d两点,过原点的直线eqIdf9c83aee1e3b4954887d6ccbcfd19997交椭圆于eqIdddb96267fa7540fb816201c53f04e53e两点.若eqIdcc0976c3816c4d87946a83bae8011505,求证:eqId4bc27313c3bc4c29ae0f35ab61446f64为定值.
更新:2020/04/01难度:0.65题型:解答题组卷:677
22 . 已知椭圆eqId58f0b4a8368845af8db899bac30cd60d的两焦点与短轴的一个端点的连线构成等腰直角三角形,直线eqIdc2fe8568c08140f7a71f0f381f2ae086与以椭圆C的右焦点为圆心,以椭圆的长半轴长为半径的圆相切.
(Ⅰ)求椭圆C的方程;
(Ⅱ)设P为椭圆C上一点,若过点eqId24f90062e15d40e5b4402d396859b565的直线eqId417e80f1349244878d01fe90e0891f5f与椭圆C相交于不同的两点S和T,满足eqIdc679920eb37945acb8bc1ea7e224ebd9(O为坐标原点),求实数eqId32454977564e4ee18da36bd51156c509的取值范围.
更新:2020/04/01难度:0.4题型:解答题组卷:1372