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四川省南充市2020届高三高考数学(理科)(三诊)第三次适应性试题
适用年级:高三 试卷类型:其他 试题总数:23 浏览次数:45 上传日期:2020-07-31
1 . 已知集合A={x|(x+2)(x+3)≥0},B={x|x<0},则AB=(   )
A.[﹣3,﹣2]B.(﹣∞,﹣3]∪[﹣2,+∞)
C.(﹣∞,﹣3]D.(﹣∞,﹣3]∪[﹣2,0)
更新:2020/07/31难度:0.85题型:单选题组卷:89
2 . 若eqId77f4f030790c4fdaadf1db897d4dab35,则eqId15cfe42073204e7ba0f14ad508897dd4(   )
A.﹣6B.6C.﹣6iD.6i
更新:2020/07/31难度:0.94题型:单选题组卷:8
3 . 设eqId53ea6e8d827e45fe9815a9e4dbb1400e,则eqId7946cddeb8d348c696356e5237a09e37=(   )
A.﹣15B.0C.﹣3D.﹣11
更新:2020/07/31难度:0.94题型:单选题组卷:92
4 . eqIdd108b12c781940e9968d186798bd7bdf的展开式中,x3的系数等于(   )
A.﹣15B.15C.20D.﹣20
更新:2020/07/31难度:0.85题型:单选题组卷:30
5 . 今年年初,新型冠状病毒引发的疫情牵动着亿万人的心,八方驰援战疫情,众志成城克时难,社会各界支援湖北,共抗新型冠状病毒肺炎.我市某医院的甲、乙、丙三名医生随机分到湖北的AB两个城市支援,则每个城市至少有一名医生的概率为(   )
A.eqIddda48cced83d424b89b7d8f8c62b1056B.eqId5f51ce9cc7fe4412baeb871cceb26665C.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqIde41289c7307b48bd893a195b321d250f
更新:2020/07/31难度:0.65题型:单选题组卷:49
6 . 已知函数eqIdad586f0e2ea34f80bf06e73e2e1a43da,且此函数的图象如图所示,由点eqIdf75f5df6c23749da8c910f988fd457db的坐标是(  )
figure
A.eqId2508e665934f4dec858c6adb875e7c4fB.eqId2405287d7da74c088f7e288167ecd997C.eqId11a80536a15d44ec8e7d2e6e733750d2D.eqId302f6af78e9e429789312a2f53d75c27
更新:2020/07/31难度:0.65题型:单选题组卷:2238
7 . 已知函数eqIdaed79241105e4809b5419c4a8a4b5dd2,则该函数的图象大致为(   )
A.figureB.figureC.figureD.figure
更新:2020/07/31难度:0.85题型:单选题组卷:120
8 . △ABC的内角ABC的对边分别为abc,若△ABC的面积等于8,eqIdc8881a3e9c9d4d91bb24bf5c8d2a3f88,则△ABC外接圆的半径为(   )
A.5eqId3f2b86da66bf425c9e1288e4762cd104B.eqId124cd0d4cd2d48c48a9f59453c8ff6fdC.eqId157c4d5173e84b2a8db8c70b90d38f71D.eqId8062a46c6b114e1483ee50fad4b5d1a5
更新:2020/07/31难度:0.65题型:单选题组卷:84
9 . 在直角梯形ABCD中,∠ADC=∠DAB=∠ACB=90°,△ADC与△ABC均为等腰直角三角形,且AD=1,若将直角梯形ABCD沿AC折叠成三棱锥DABC,则当三棱锥DABC的体积取得最大时其外接球的表面积为(   )
A.4πB.6πC.8πD.10π
更新:2020/07/31难度:0.65题型:单选题组卷:64
10 . 已知定义在R上的函数eqId6f13759e937144069819aed2ae5a1057满足:eqId30ea57886d2d41c3963cc3feb70ee86a,且函数eqId996893f38aac40ab9a1d1fcb387c02da是偶函数,当eqIdc96f88fad8694a2d97ecd47143e4fdb5时,eqId16bf71cc2be8400c95d35203932a8677,则eqId35c6c3d946594c65b5b194bf6d7b610f=(   )
A.eqId1f77724af33e4f139f22ee815e288b4aB.eqId146ec3601508434194aad4099c740930C.eqId9993121bf3684431a7afbd4e1aea41feD.eqId9cd18c1b8a9b4845b7120a72adedde8a
更新:2020/07/31难度:0.65题型:单选题组卷:159
11 . 抛物线的焦点与双曲线的左焦点的连线交于第二象限内的点.若在点处的切线平行于的一条渐近线,则 (    )
A.B.C.D.
更新:2020/07/31难度:0.85题型:单选题组卷:1049
12 . 已知函数eqId422a657d8af848d7ad9d1e621115b077,把函数eqIdaff9dd6479234a6aae4e9fa1a118f288的偶数零点按从小到大的顺序排成一个数列,该数列的前10项的和eqIdbc24c6e646ef45d78124b2ff20ca875b等于(   )
A.45B.55C.90D.110
更新:2020/07/31难度:0.4题型:单选题组卷:926
13 . 命题“∀x>0,x2+x>1”的否定是_____.
更新:2020/07/31难度:0.85题型:填空题组卷:102
更新:2020/07/31难度:0.85题型:填空题组卷:77
15 . 已知直线eqId57d43a6ec16548aab70ac96c7e0c0ab1与圆eqId8072a7b8edb8489dbb23ff439b37f605相交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,且eqId992fe44057cf4492895193f3f5398449为等腰直角三角形,则实数eqId70a27b6ddf6b478285353abb3b1f3741的值为______
更新:2020/07/31难度:0.85题型:填空题组卷:591
16 . 已知函数fx)=aexx+2a2﹣3的值域为M,集合I=(0,+∞),若IM,则实数a的取值范围是_____.
更新:2020/07/31难度:0.65题型:填空题组卷:7
17 . 已知等比数列eqId2c1230a9ef5a4968be599681d676dd2b的公比eqId9fd2d66832064d79b98d15495937aeb4eqId77b3f6b9955e499dbdab033a38779496,且eqIde21167e5af3f4bfcb19164fa7e5284e9eqId310274b5ffe34ad58a069683d0dac787eqId82e5e0aaf6284e3ebbe74060f2cc3e3b成等差数列.
(1)求数列eqId2c1230a9ef5a4968be599681d676dd2b的通项公式;
(2)记eqId885f1e984c0c462eae6b417b96e2e7da,求数列eqIda0db2906046940e19de8782f94f34137的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5
更新:2020/07/31难度:0.65题型:解答题组卷:121
18 . 某食品店为了了解气温对销售量的影响,随机记录了该店1月份中5天的日销售量y(单位:千克)与该地当日最低气温x(单位:°C)的数据,如下表:
x
2
5
8
9
11
y
12
10
8
8
7
 
(1)求出yx的回归方程eqIdd143be4e0fa64ec7ad851ac6bd302374eqId3f173fa0b40b4471be303ce351ec6ce9xeqId9836033c0c7e4a1f9f266af2f0f73fe5
(2)判断yx之间是正相关还是负相关;若该地1月份某天的最低气温为6°C,请用所求回归方程预测该店当日的营业额.
附:回归方程eqIdd143be4e0fa64ec7ad851ac6bd302374eqId3f173fa0b40b4471be303ce351ec6ce9xeqId9836033c0c7e4a1f9f266af2f0f73fe5;中,eqId3f173fa0b40b4471be303ce351ec6ce9eqId1a7a6f8946f545e2a06f182ccd62f332eqIdf581d4a04a7a4a4a80daa16df5c33e03eqIdd143be4e0fa64ec7ad851ac6bd302374eqId6929e8281f8c42e8bf9e1d6dc861337c
更新:2020/07/31难度:0.65题型:解答题组卷:19
19 . 如图,在平行四边形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId47dae666f4594cacb08463b5227697a8,四边形eqId6f8a491b1fab4e30b2469bd099590893为直角梯形,eqId1dcb20a9ce8d4076af5dd64f7066c6d6eqId211ab513a02842808eee31b029297b06,eqIdfb60a36a456e41ae99fda983103f0080eqId3bb84d7e8bca471a9639cf4a3c0c8976,平面eqId3f27fe03c88f4272858390eb2f5ff7ba平面eqId6f8a491b1fab4e30b2469bd099590893.
说明: figure
(1)求证:eqIdddfd05b97daa4750add358a6acfc1355
(2)求平面eqId5ce7a06ae7a34393b92b5277978ac014与平面eqIda3eb5356d699417e8d2a360a77f14a6b所成锐二面角的余弦值.
更新:2020/07/31难度:0.65题型:解答题组卷:382
20 . 已知两点eqIdd7b47c94341b4d3ba815e9a13b8b0542eqIdcd41fd5b7a704b179bf50c0dc7130d8b,动点eqIdbedf755e0fdb4d078d6859360706b163eqIdeb53cb7cb0274f7d8f111c60f824c243两点连线的斜率eqIdec214cc6346744bfa7c561c8d57909d1满足eqIda7627c94386c40b2a01c3dafe5edbed9.
(1)求动点eqIdbedf755e0fdb4d078d6859360706b163的轨迹eqId93cbffaa5ae045d6ac45d1e979991c3a的方程;
(2)eqId7412be7a456647e695421020b620936e是曲线eqId93cbffaa5ae045d6ac45d1e979991c3aeqId072d7d6b911b42bc89207e72515ebf5f轴正半轴的交点,曲线eqId93cbffaa5ae045d6ac45d1e979991c3a上是否存在两点eqId71891062a8724584af9a2c4c77cd566e,使得eqId870f51e528e84a8eba060839432f449a是以eqId7412be7a456647e695421020b620936e为直角顶点的等腰直角三角形?若存在,请说明有几个;若不存在,请说明理由.
更新:2020/07/31难度:0.4题型:解答题组卷:1543
21 . 已知函数eqIdd1a9e2f10f024fa89a4cc89959756232,曲线eqId144eff5c0e4649138a21f2b1b6a06907eqId58f537310d654e068790cb3cebc56e79处的切线与直线eqId1fa3825767e1436fa5bb240404548fa3平行.
(1)求证:方程eqId1c3c3bff917c4029b2b4a15a1b2be639eqId687b6c04f14249ac871f0d13ab5d7fc1内存在唯一的实根;
(2)设函数mx)=min{fx),gx)}(min{pq}表示pq中的较小者),求mx)的最大值.
更新:2020/07/31难度:0.4题型:解答题组卷:9
22 . 选修4-4:坐标系与参数方程
在直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqId35e43a3b696043d48cadac39c36aacea(t为参数,且eqId912e1035d9754e02a9657d5b805eadc7),其中eqId22825e6b505346e4a5dc52f745ee4888,在以O为极点,x轴正半轴为极轴的极坐标系中,曲线eqId0607fb2a1ae244ac9b836a0336257c37
(Ⅰ)求eqId3a63d00111554b9e8b896929779a293deqId32ece98e0955476591d5f4a55111a471交点的直角坐标;
(Ⅱ)若eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3a63d00111554b9e8b896929779a293d相交于点A,eqIdcfc8599bedfb4ab4944abf141f348a9aeqId32ece98e0955476591d5f4a55111a471相交于点B,求eqIdfd44c67ef2814bf3aa0186f0d5ca0cfd最大值.
更新:2020/07/31难度:0.65题型:解答题组卷:10044
23 . 已知函数eqIdf09a5f4cfa9b4200ab0ddcad341709d4.
(1)求eqId4837c94ef0ff4dcf9b1dda4df363275a的最小值eqId3a4208e0040c42ed8b09de2cae9d562e
(2)若eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1均为正实数,且满足eqId9801cf6dd06d4795b1de9d794bd19494,求证:eqId6f1a56303db14c70b4d3de6f79f65b85.
更新:2020/07/31难度:0.65题型:解答题组卷:139