河北省唐山市高二上学期期末数学试题(解析版)

河北省唐山市高二上学期期末数学试题3xy20）30C．120D．15060k3tan3120．pp:xx0）2x0,x0x0,">x0,xx0x0x022022000p："x>0,x0．22xy2）14122p2p1．p2p2ppp1．第1页共页p）,m//n,//,m//n//m//n,m//,n////m,,nmm//n,//,mn对m//n,//,m//n//或n对m//n,m//,n////或,对m,,mn对//,mmm//n,nxy220,b0)1(aP）ab2223533a,bcab222第2页共页xy2ba20,b0)y1(aabx0．22bcb231a=bcabbe．222222ab2a3b2）1233111111V211．3323a)y4C:x(yb)1C:(xM(a,b)222212C:xy9）22a,b第3页共页ab21322ab9M(a,b)22C:xy922ABCDABCDAA2AABC和ABAD23，1111111）15306045AABBBBC以1111AABC和11AABBBBCAABC和111111232VBBCBBAA2，BCAD23，tanBBC3，11111111B60o．113kyk(xx21）y3第4页共页yk(xy1x2的kyk(xy1x23y1yk(xxk2233y1x2“kyk(x3P-ABCDABCD，，PA=PB=22ABCD）32B．πOABCDOG面，ABCD过O作为R，PFPF于OEFGE22R-8FG2EFOG，PF，2OER28R22由22R第5页共页ABPAPB22==，PB，作PFP4PF2F为ABAB，．PFABCDO与ABCDABCDOG面ABCDOG//PF．过O作PF交PF于EOEFGFG2，EFOG，PF，2OER28R222222R-82而POPEOERR8．222S4R32．2x2y2FC:162C于MFl为ABM到x）131232322,0：xty2lyy1AB2yy1t2t2M到xt3t3222第6页共页6,b2Ax,y,Bx,ya2：l21122xty20tt3y20yy，22t3212yy1t2t2ABMM到x．t32t2322t2233t0t33M到x．3当223t3tABCDABCDPBCCBPPC）111111AB(P11ABBCCBABBPP面1111111PAB1BBCCB1111PABBCCBABBPPABP到面以111111111BBCCB11C0,0DP,y，，，点1，yx1y1x22221y2x2y20．1x222222211当第7页共页(axy104x(a2)y10aa1a240aa1a2403．a2a或2xy104x4y10当a，当a34xy104xy10，|2|6，4xC:y2ABy,BABF1,0．Ax,yBx,y，1122第8页共页12,x16xx5xAB1212xx15123ABy22ABCDEFADFABCD，VADFABCDP，22ABCDEF533E作EG//FD交DC于GEH//AF交AB于HABCDEFE作EG//FD交DC于GEH//AF交AB于．HGHABCDVADFADF，2EABCD的12333S，V2153VV31321故V3．E353．3第9页共页x2y2b0)F,F1(aP在Ce为CC:12ab22△PFF△PFF12e12则e212或2,21U1,1232△PFFe；12△PFFe12PFFFPFFF或2c22c112212c1e21；2c22c2aa21PFPF当2c2c12c22c2c2ae．a22故e或21．2PFFPFFF2cPF2a2c，1211222accc，2a2c24c4c13e21；221PFF21；当当e213FPFPFPFaFF2c，aa4c2221212122e1．212故e21或e1．322121；,21U,1．或2232第页共页x2y2mx2y4m202x2y2句1mpqm12m112qp的mqpm)(y1)m4m3(x2220,m0m1m3.①m24m30,x2y21(mm1)0，m12m111m.②21m.2C(2,0)x3y2025.ClMCl2)y9x5815y0.或x(x22C第页共页2)yrC(x，222因为圆C被直线x3y2025心2,0x3y2022d2．252r24r29312)y9C(x.22x，l55(2,0)到xMy5k(x5)，即y5k0|5k|8d3k，k21l8x15y0.58x15y0x或.P-ABCDABCDPAPBPCPD棱EF//PAD；PA4EFPAB23////EF//PAD；x第页共页1DCME，ME//DC，2F是CD,AB//CD，1DCAF//DCAF//.2EF//AM.EFAMEF//ACBD，以x轴则(22,0,0),B(0,22,0),C(22,0,0),P(0,0,22)，E(2,0,2),F(2,2,0)，AP(22,0,22),AB(22,22,0),EF(22,2,2)，nr(x,y,z).rxz0,APn0,AB由r得n0,xy0,第页共页r1xn(1,1,1).设，r|EFn|r2|cosEF,nsin，r|EFn|32．32py(p0)线与EOAOB，y1E:x2OE1)C(0,k,k1k,k122xykk0212OAOBxxyy0，1212E,Bk,k1k,k122y1x2pyx2pkx2p0.22Ax,y,Bx,y4pk8p0，221122xx2pk,xx2p则.1212xxyyxx2122p2p2p10，xx12212121p．2yEx．2k,kkk0.1212第页共页xx2pkk,xx2p1.1212y1x11x122k1k12xxx2112x1x1222xkk则1x1212xxxxxx222112xx1212xx1xxxx21212xx2pkk,xx2p1把，1212kkk(k)012kk0.12ABCABCVVABC与1111AA2O为BC1ABCABC；12.BB1AAOM13131ABCABCAOVABC111AOBC,1AOAO1AO1平第页共页面x1MAOM和1AOAM1VABCV与2为1BC,AOBC.AO1在VAOAAA6，111AO2AO2AOAO，2111AOIBCOAO1AO1ABC1ABC1x轴1则OBA(0,0,3)，(3,0,0),1(⊥AOA，BC11OB(0,1,0)AOA1设≤≤.01111第页共页，，(3,1,3)1rAOM1n(x,y,z)，rn3xy3z则rn3z1r1取xn3，|n|rOB,nr12cosr|||n|，13213.12.3AAOM131xy222x：2,2CF，1ab2212F2PM为OP于，OFOMlCA2B|OP||MA||MB|2x2y782184yk(x1)，lAx,yBx,y|MA|||、、，1122|MB|第页共页421ab22c2ea22，bc2，a2abc222x2y21C．842|OP|，|||，27784|MA||MB|；2lyk(x1)，Ax,y，Bx,y．1122yk(x1)2k1x4kx2k80ly，x2y222221844k2xx2k1122．2k82xx122k12//ly，ykx2y2k1x8x2y221848x2．2k128|OP|xy1k，22222k12|MAx1y1k|x1|，222111x1x1|MB|1k|x1|，|MA||MB1k，221227xx1xxxx1，2k112121227787|MA||MB1k|OP||MA||MB|222k18278第页共页第页共页421ab22c2ea22，bc2，a2abc222x2y21C．842|OP|，|||，27784|MA||MB|；2lyk(x1)，Ax,y，Bx,y．1122yk(x1)2k1x4kx2k80ly，x2y222221844k2xx2k1122．2k82xx