若X和Y是成正比,Y和Z成反比,當X=2時,Y=4,Z=3 ; 當X=4時,Z=?

2019-07-26 5:35 pm

回答 (2)

2019-07-26 8:15 pm
令 X = aY,YZ = b

XZ = ab


X = 2 , Z = 3

ab = 6


X = 4 , ab = 6

Z = 3 / 2 #
2019-07-26 5:50 pm
若X和Y是成正比,Y和Z成反比,當X=2時,Y=4,Z=3 ; 當X=4時,Z=?
Sol
X和Y是成正比
Y=Px
Y和Z成反比
YZ=Q
Y/(YZ)=PZ/Q
1/Z=PX/Q
PXZ=Q
XZ=Q/P=M
當X=2時,Y=4,Z=3
M=2*3=6
當X=4時
4Z=6
Z=15


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