2022年2月7日 星期一

105年身障生升大學-數學乙詳解

105 學年度身心障礙學生升學大專校院甄試

甄試類(群)組別:大學組-數學乙

單選題,共 20 題,每題 5 分

解答{x=|a1|y=2(b1)2z=3c1{x=0,1,2,3,y=0,2,4,6,c=0,3,6,9,(c)x+y+z=2(x,y,z)={(2,0,0)(a,b,c)=(1,1,1),(3,1,1)(0,2,0)(a,b,c)=(1,0,1),(1,2,1)(C)
解答f(x)=5x3+ax23x+b=(x2x2)p(x)+x+4=(x2)(x+1)p(x)+x+4{f(2)=40+4a6+b=6f(1)=5+a+3+b=3{4a+b=28a+b=5{a=11b=16a+b=5(D)
解答x3ax2+a2xa3=x2(xa)+a2(xa)=(x2+a2)(xa)=0{x=ax2=a2()(B)
解答23<x<4(x+23)(x4)<0x2103x83<032x25x4<0{(A)×:a=3/2>0(B)×:b=4<0(C)×:a+b=5/2(D):ab=6(D)
解答a=100.8loga=0.8b=log8=3log2=3×0.301=0.903logblog9001000=2log3+23=20.47711=0.0458c=3/2logc=12log3log2=120.47710.301=0.06245b>c>a(B)
解答100x610x+5=0(10x)2610x+5=0(10x5)(10x1)=0{10x=5x=log510x=1x=0(B)
解答{:100×(1+2%)3=106.1208:100(1+1.8%)(1+2%)(1+2.2%)=106.120392(1+1.8%)(1+2.2%)=(1+2%0.2%)(1+2%+0.2%)=(1+2%)2(0.2%)2(1+2%)2>(1+1.8%)(1+2.2%)>(A)
解答{A(1,1)P(x,y)AP=(x1,y1)=2uv=2(2,1)(0,3)=(4,5){x1=4y1=5{x=5y=4(B)
解答()
解答{SSO344586(244X32×3=6)3×6=18(A)
解答33{P(A)=C31/6=1/2B=(,)(,)P(B)=(C31C31+C31C31)/62=18/36=1/2C=213P(C)=(3C31C31C31+C31C31C31)/63=108/216=1/20.5(D)
解答{A=[2412]B=[2412]{A+B=[0820]AB=[81648]BA=[81648]A2+2AB+B2=(A+B)2BA+AB=[0820][0820][81648]+[81648]=[160016]+[03280]=[1632816](C)
解答0(2)2(2)=24=12(C)
解答{xyy=1ax+b{μY=1aμX+bσY=|1a|σX{68=1a40+b12=|1a|10{1/a=1.2b=20b/a=241/a=1.2b=116b/a=139.2(D)
解答[]=[80%30%20%70%][]=[80%30%20%70%](C)
解答{65%{25%15%60%35%{36%56%8%=65%×60%+35%×8%=41.8%(C)
解答a5a22=8+6+10(5a)a=3(C)
解答{R:W:B:X=(R,W,B)P(X)(3,0,0),(0,3,0),(0,0,3)1/C93(2,1,0),(2,0,1),(1,0,2)C32C31C31/C93(1,2,0),(0,1,2),(0,2,1)(1,1,1)C31C31C31/C93=1C93(60+1530)+C32C31C31C93(25+1010+015+0)+C31C31C31C935=18445+278410+27845=450845.36(A)
解答X711121317Y1423252632X249121144169289Y21965296256761024XY98253300338544{X=60Y=120X2=772Y2=3050XY=1533r=XY(X)(Y)/nX2(X)2/nY2(Y)2/n=153360120/5772602/530501202/5=93521700.989(D):(x,y)滿y=2xr=1
解答(C)

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