2024屆河南省周口市項城市上學(xué)期高三期末數(shù)學(xué)試卷及答案

{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}2024年高考備考精英聯(lián)賽調(diào)研卷高三數(shù)學(xué)參考答案123456789101112CBDABCDB12CRA={x|xB2?5x?6≤=[B=(2,2+e2)(R)∩B=(2,6].z=a+i(a,b∈R)z+2=?i)?za+2=a?ba=4(a+2)+bi=?i)(a?bi)=(a?b)?(a+b)i|z=16+4=25.b=?(a+b)b=23DAααllABBCl?αl∩α=AlmllmA?mlmCDααlmlmD.4AAC=4A20B40C20x=2(x?D(2,22)2+y=y≥2x=2.y=22(x?2+y2=y≥0)22?0k==?2.2?456B2πππππ295α+)=α+)+]=α+=1?2sin2α+)=1?2×=.32129C904000P(2000≤X<3000)=P(X≥4000)=1?0.3×2=0.3300[2000,3000)7=0.2[2000,3000)2300×0.2=60.Dπ122πωπωπf(x)=2sin(ωx+)|=×=f=2sin(ω+)331πωππωππωπ12××|2sin(ω+)=×|ω+)=ω+)=±.0<ω<22333π2πωω=f(x)T==4.28B19{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}f(x)=(x?2+|x?1|1f(x)x=1810f(x)+∞)b=f?=f+c=f()=f().991g(x)=ex1?x?1g'(x)=ex1x∈g>g=0h(x)?g'(x)+∞)g(x)g'=0xx∈+∞)g'(x)>0g'(x)<01e0.1>1+ln1.1>1.h(x)=?x)ex?1(0<x<10h'(x)=?ex<001h=0.9e?1<0)b<a<c.e0.1<910109>e>1+ln1.1>1f+<f(e0.1)<f(99n∑x=00=(?2)n=32×(2)n=5=Ax=1a4=C5i=?1i=0n∑i=?1?(?32)=B3=C522C1×(?2)=?10D.i110aa=2aa23=233=2aa=a23=4A3=26=2431512×?2)6631263n}q==2n3q=n?3=2n?21=S6==B31?223+a411=q2=4CSn=×(2n?a2n?2Sn=22n?2?(2n?=×(2n?2)≥021+a2a2n≥2Sn24D.11f(x)Rf(0)=0f(?=?f=?a?2+3f(x)+∞)f(0)+f(=?a?2=?4a=2Aa=3x>0f(x)=2xxf(x)(?∞,0)Bf(2)4f(?2)f(2)=?f(2)=?(4+a2)=?(a+)≤?4a=2aaa1214CD.=x>0f(x)2x=+f'(x)=(2x?2?x)ln2a2x+∞)f'(x)>0f(x)+∞)f(x)(?∞,0)D12xx1112y221Ay=By=?==?2221y21k?k==?AM(x,y)=λ+μ(x,y)=λ(x,y)+μ(x,y)00001122xx412x=λx+μxλ?μ0λ1+μ2()1012ABx2=x=?===y21kOMy=λy+μy1λ1+μx2(λ+μ)1012029{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}x=λx+μx2xB012?y=12y=λy+μy40122(λx+μx)212?(λy+μy)2=1λ(x2?41)+μ22(2221212?42)+2λμxx?λμyy=41214111=1y2=?24λμxx=4λμxx=1λμ1x2121222CD.13.1014.315.2lge)16.3341310b34ub=(?,)(,?)|b|5555a?bba?b|b|u=?=(4)=5a?b=.|b||b|143MABMA,B,N1111p723|=(||+||)=|AB||=2+=p=3F(,0).112222=d=|PF|xy2+63y+27=0?=02x+23y+9=0|3+9|dd2Fl=3.4152lge)f(x)=0y=?lg(2e)x=mx?lg(2e)f(x)g(x)=xg(x)=x.y=?lg(2e)1(x,lgx)g(x)=xg'(x)=00xln101m=1x10ln10y?0=(x?0)y=+0?0ln100ln10ln102lge).10?=?lg(2e)ln1012x=0mm=2lge163hP1S=3S+S=3×(×h2+1×23)+33=33(h2+1+PPABABCABC211111S?h=S?r=×33(h2+1+?r×33?h=×33(h2+1+?r33333hr=.h2+1+139{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}h2+4h2+4Rr(h2+h2h2+1+2hh(h?R)2+22=R2R===2h2h2+1+1h2+1+1=t(t>2)h2=t2?tRr(t2?t+tt2?t+4(t?2)2+t?2)+414t?21====[(t?2)++2]≥×(24+2)=3t2?t)t?2(t?2)224t?2Rrt?2=t=4h=223.1713020.25021C130C21202449P==≈.0.4905C5042600×=652×23004807802001203205006007H0.1100×(300×120?480×200)780×320×600×50021375χ2==≈52.885>10.8289260.001χ2H0.101812b+23acosAsinB=bcos2Ab+2acosAsinB=b?2sin2)bsin2A+3acosAsinB=02sinBsin2A+3sinAcosAsinB=0.4AB>0A∈(0,π)sinA+3cosA=02πtanA=?3A=.63B=2sinCb=c7123228310=b+cbcsinA=c=839c=4b=8a222?bccosA=1121149{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}a=47.12PAB∩1912ABC??3?OC∩OD=Ox?5CD.6OOyOzxyz=θ.7C(2,D?P(0,2cosθ,2sinθ)=(2,0)OP=2cosθ,2sinθ)CD=(??8n=(x,y,z)?n=2x=002ycosθ+2zsinθ=0n?=0z=1n=(0,?tanθ|3tanθ+1|9?CDn2sin45°=<,>===|n|?||2tan2θ+1×22tanθ=3.10πθ∈(0,π)θ=P3)CP=(?3).3CD=(?262CD=(??,?,)11|CD|2442PP?(?)=62||6.12201n=1n≥2a=S=111n(n+n(n?n2[(n+2?(n]?2a=S?S=[]2?[]2==n3nnn12241=1{an}an=n3459{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}Snn(n+4n21411==(n++2)≥×(2+2)=1n4Snnn=162n+anan13+(n+3n11+1n=(n?n1=(?n?=(n[+]7n(n3+3n3(n3n11111111n=?+)+(+)?(+)+?+[+]=3?12323333343n3(n+(n+35121511512n>??1>?3(n+n<7(n+<3nnn69n?111+1n311+1n=n1?[+]=?1?[+]=??1.n3(n3n3(n3(n3+1n>???1>?512(n+311?>.11(n+3n>?n6.12512n+anan1n3+(n+311+1n=(n?n1=(?n?=(n[+]7n(n3+3n3(n3111111111n=?+)+(+)?(+)+?+(?n1[+]+(?n[+]32323333343(n?3n3n3(n+(?n=?1.9(n+3512nn<1n>?n>?105121511512nn?1>?3(n+3<n<7(n+n6.n>?n6.12512211OxyxOy1b=2b=1269{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}bcos45°2a==22a=23x2C+y2=1.422C2c1c=151(?0)20)ly=k(x?y=k(x?2y(2k2+x2?k2xk2?2=0+7x+y2=124k222k2k2?23x+x==2?xx==1?8122+2+122+2+12k12k112k3xx=(x+x)?21212211+1y22?2Ay=(x+y=(x?FAMx11+1y22?2y(x?2)121×(3+=×(3?2)=10y(x+4213k[(x+x)?2]?2?kx+2k14(?k)(x?2)x?2?+2k12122=12=1212=(?k)(x+x?+?k12123k[(x+x)?2]?+kx?k2121212?1+x21k≠0=5x+x?6=012x+5x?64125x+x=6.1212221f(x)=x?2f'(x)=?sinx?2f'(x)≤0x∈(,)ππf(x)(,)44πx∈(,π)?x?2≤0479{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}sinx2xm≥?.2sinxπxcosx?sinxg(x)=?x∈(,)g'(x)=?2x42x2πh(x)=xcosx?sinxx∈(,)h'(x)=?xsinx<04πh(x)(,)4πππ2πh(x)<?sin=×(?<044424πg(shù)'(x)>0g(x)(,)4sinπ2πg(shù)(x)<?=0m≥0m+∞).f(x)=x+41π1π2xπ2m=?x2f'(x)=?sinx52xπ2π?(x)=?sinx'(x)=?xπ2ππ2π'(x))'(0)=?1<0'()=>022π'(x))x0.x∈(x,)2πx∈0)'(x)<0'(x)>002π?(x)(0,0)(x,)062ππx∈(0,)?(0)=?()=0?(x)<0f'(x)<022πf(x)).2π2xππx∈(,+∞)>1≥sinxf'(x)>0f(x)(,+∞).22ππx≥0f(x)≥f()=724f(x)πx<0f(x)≥.4πf(x)≥.843f(0)=1f(x)=t(x>0)π42<t<189{#{QQABJQIEggCgABBAAQgCQwWYCkGQkBAAAKoOhAAMoAAAyRFABAA=}#}x+x<π12π1<20<1<<2<π2π2x+x<π1?20<π?2<12π2f(x))f(x)>f(π?x)122f(x)=f(x)f(x)>f(π?x)912221π(π?x)2πF(x)=f(x)?f(π?x)=x+F'(x