x,y,z成等差,(x+y)/2,(x+z)/4,(y+z)/6成等比,求公比q打错了,是(y+z)/8 答案为1或1/3,怎做?
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x,y,z成等差,(x+y)/2,(x+z)/4,(y+z)/6成等比,求公比q打错了,是(y+z)/8答案为1或1/3,怎做?x,y,z成等差,(x+y)/2,(x+z)/4,(y+z)/6成等比,
x,y,z成等差,(x+y)/2,(x+z)/4,(y+z)/6成等比,求公比q打错了,是(y+z)/8 答案为1或1/3,怎做?
x,y,z成等差,(x+y)/2,(x+z)/4,(y+z)/6成等比,求公比q
打错了,是(y+z)/8
答案为1或1/3,怎做?
x,y,z成等差,(x+y)/2,(x+z)/4,(y+z)/6成等比,求公比q打错了,是(y+z)/8 答案为1或1/3,怎做?
设y=a 则x=a-d z=a+d
代入等比的方程(2a-d)(2a+d)/16=4a^2/16
推出d=0 即x=y=z
所以易知公比q=1/2
答案不对 若q=1的话 x=A y=-3A z=-5A (A为常数) 这样是等比但不是等差 1/3没算 估计也是这样
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x,y,z成等差,(x+y)/2,(x+z)/4,(y+z)/6成等比,求公比q打错了,是(y+z)/8 答案为1或1/3,怎做?
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