首页>试卷详情页

云南省普洱市2018-2019学年高二下学期期末考试数学(理)试题
云南 高二 期末 2020-06-19 223次

一、单选题添加题型下试题

同步
5. 已知各项均为正数的等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的前4项和为15,且eqIdbf036aa871c0493b8cc85112f146158c,则eqIdec15b069a63a4c5fb3a6606336bb1b1a( )
A.16B.8C.4D.2
6. 某地环保部门召集6家企业的负责人座谈,其中甲企业有2人到会,其余5家企业各有1人到会,会上有3人发言则发言的3人来自3家不同企业的可能情况的种数为eqId28fe7ea2cdd940a3890be5a8f24864c9 eqId1dff27163d4a47f3a3201b3b8d5ae407
A.15B.30C.35D.42
8. 执行如图所示的程序框图,则输出的结果为( )
figure
A.eqId345d6790611f4375b7607c69d889fc18B.eqId4fe51ef428ac455e83a52ff95be1ac81C.eqId24aaa64933fa41269a00514ad5d00a33D.eqId5a84a66f9594466d8adb3856f0d72459
11. 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的偶函数,且在eqIddca4c31f92e1447fb6eceb9fdf294175上单调递增,则(   )
A.eqId60b3059a4caa4eed8d12a2c21116ec55B.eqId767ba36de68c4f3587b9db4c6b1912dd
C.eqIdeb750079e166421b80a164653e5b9199D.eqId1bc02dbbd82240a09ca394f70be3c84b

二、填空题添加题型下试题

16. (山东省烟台市2018届高三高考适应性练习(一))已知抛物线eqId01aa8af60b6a4d038d6a9c6338f96342的焦点为eqIdcdc45d119bb845ae934c51253d07ea57是抛物线eqId19a4eb16029e4550a14f2afe4741a3c3上一点,若eqId8d59b35790c14e7eab366904d4076b7c的延长线交eqId8e15963708e9415da25069fea5906e24轴的正半轴于点eqId517584fed25c413ba8b7bb33ffa2d5c6,交抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的准线eqId417e80f1349244878d01fe90e0891f5f于点eqIdf8ef9ec340b848fc8802eec4cf1a8b89,且eqId6eac2d369438411c8e07779ea9de594a,则eqIdb14c19f0ec72418e98ca47e2083bebac=__________

三、解答题添加题型下试题

19. 如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,底面eqId5ce7a06ae7a34393b92b5277978ac014是菱形,eqId6aa41988bda348e992fd5b1086532de0eqId37ccc9c7e8054855b398776439996694eqId43a2633398384cea9a5726a85537cd62eqId3de1cf19b0ad445baac210d7d6de97ad.
figure
(1)求证:eqIdb336b04e6da2439f995911c021038305平面eqId5ce7a06ae7a34393b92b5277978ac014
(2)若eqId6f782d71f5a7422aa78bd8204949ce26与平面eqId5ce7a06ae7a34393b92b5277978ac014所成的角为eqId4023ceb292e24a45871ca56fa44d50e3,求二面角eqId47a2089f3e714d8fba790d35639823c6的余弦值.
20. 为迎接2022年北京冬季奥运会,普及冬奥知识,某校开展了“冰雪答题王”冬奥知识竞赛活动.现从参加冬奥知识竞赛活动的学生中随机抽取了100名学生,将他们的比赛成绩(满分为100分)分为6组:eqId0c1ceccb1f804e4aa282c32ec6ff7aebeqId587e2714c0b34a67b7800fa3ab8d8499得到如图所示的频率分布直方图.
figure
(Ⅰ)求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(Ⅱ)记eqIdcc614bd3390c4d028df189b234dcc351表示事件“从参加冬奥知识竞赛活动的学生中随机抽取一名学生,该学生的比赛成绩不低于80分”,估计eqIdcc614bd3390c4d028df189b234dcc351的概率;
(Ⅲ)在抽取的100名学生中,规定:比赛成绩不低于80分为“优秀”,比赛成绩低于80分为“非优秀”.请在答题卡上将eqIde22e40a4c6d2484d819344821c00fa70列联表补充完整,并判断是否有eqId106d99f6080b4742ba917c273734a506的把握认为“比赛成绩是否优秀与性别有关”?
参考公式及数据:eqIdaf02214477304ce59f00333d8d0e3228eqId754c3c713caf47498134c63776d19032
eqId92b15c087444448e9d4ae9fa8aa6e440
0.10
0.05
0.025
0.010
0.005
0.001
eqIdaf3c3fd2a9a145b49b01d055c2cb8379
2.706
3.841
5.024
6.635
7.879
10.828
 
21. 已知函数eqIdbd32cf22698348558a6a93050b7af16a,其中eqIdf035b8f27d4645bb9f6a66f4a3f51918为自然对数的底数.
(Ⅰ)试判断函数eqId6f13759e937144069819aed2ae5a1057的单调性;
(Ⅱ)当eqId23067be141544961b673b1e8bf90c43d时,不等式eqId73d98b18556b4cc4b7eca8baea12f9bb恒成立,求实数eqId32454977564e4ee18da36bd51156c509的取值范围.
22. 已知椭圆eqIdc3b97a393de447caa56c33f22b32bf2deqId15bfbddeee0143e08c809ecf76ffb129的左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,上顶点为eqId8754ce8cf7f34f04abb9a0c041f57f5c,离心率为eqId767acf51abfd4d97a757561d1a882151,且eqId8c4233daf07c481cb7966eced116af64
(Ⅰ)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
(Ⅱ)已知eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,过点eqId0aa72756ed0c4c7a89f26aa94f43e47d的直线eqId417e80f1349244878d01fe90e0891f5f与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,点eqIdbedf755e0fdb4d078d6859360706b163在椭圆eqId19a4eb16029e4550a14f2afe4741a3c3上,若eqId9548f73943574aa99f2adc68516ba580,试判断eqIdbe5da2d6d23e48019b6d4efdb73bec37是否为定值?若是,求出该定值;若不是,请说明理由.