湖北省天门市2022届高三数学模拟试卷（三）理

2022年高考天门市5月模拟试题（三）数学（理科）一、选择题（本大题共10小题，每题5分，共50分．在每题给出的四个选项中，只有一项为哪一项吻合题目要求的）1．设会集M＝{|2＋3＋2＜0}，会集N＝{|(1)x≤4}，则M∪N为2A．{|≥－2}B．{|＞－1}C．{|＜－1}D．{|≤－2}2．已知，∈R，i为虚数单位，且－2i－＝1＋i，则1＋i＋的值为A．4B．－4C．4＋4iD．2i3．一个与球心距离为1的平面截球所得截面的面积为，则球的体积为A．4B．8C．4D．823324．F1，F2是xy21的左、右焦点，点4an3145FOFAFB36sin2PF1?PF2323232x3an1A5521cosB′2222(x,y)|xsincos(,R)432,N1)6AB22ycossin(xxCMBACAO1BBA1e5|OA||AB||OB|5t13nlogtanaBA?BC2an3n1c2c3cn4PF13PF23PF1?PF2an3an32???33an113an3n2t2x13x2691t2t31654456525962x13t122y13y205555555222363r13212325AE5AB5a584C6rx2C6r712633336666121333a5a34accosBa2c2b2a2c2ac2acac1654452ac2ac2ac23bacac6bac11322223BA?BCaccosBa2c2b2(ac)22acb2(6b)23b22221(b111S1135011111C502C102C202C52BA?BC3)22722BA?BC25001010101010213505C532C101C5220C102C1545C10324C1512257C15391C15391C15391C153912204524919191912045241BC?DC1EG55CEEP22CBCPCB91919122BD5GH1122222z22CP?CB?CPDBDEDBDE11?DB?DE11b?c66222222222f'(x)|b||c|66h(1)3x2x60,1aa236a36aa236a36(a)aa236a36h(1)3x2x0,3666aa236a361(1a18)a236a36110166a236a63a[h2a]min3363g′6a6an0a6lnxh≥2xh′61lnx6x21lnxx2x2621n(x)(x)121x≥2(x)0(x)[2∞(x)≥(2)25n20h′0h≥h212ln22ahminh212ln212220125c25252e4a4a4c2b2c2a21c25cb51AOFBOFtan1a2c225tanAOBtan22tan24|AB|41tan3|OA|3|OA|3mm0|AB|4m|OB|5m|OA||OB|2|AB||OA||AB||OB|2c25a24b21x2y214ABtanBFtanAFOcot2AB259y2(x5),22152325840xy1,4CD|CD|1k2?5×(325)24158441315153n－123[t1ann＋1211f′3aa]f′t3an－1t3[t1anan＋1]0an＋1antanan－12t1{anan－1}an1t≠1{anan－1}a2a1t2ttanan－1t2t·tn－2t1·tn－1anan－1an－1an－2a2a1t1tn－1tn－2tana1t1·ttnnt1ttantnn≥2t1antnnN﹡4na－n－1antn1t{annannt}ant1t0antn≥2t1antnnN﹡2t2bn2(2n1)212nn12111112nSn2n112n22n122122n211n2n22·1n22Sn20222n221n2022n1n100622n≤1005n1n10062n≥1006n1n10062n100683cnn?3nc133n12c2c3cn4c1c2c3cn11112?3??n31?2?3n2(13)(132)(13n)21(11)(11)111113n3n13n13n3