已知a/3=b/4=c/5,求a²+2b²-c²/3a²-b²+c的值.(abc不等于0)
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已知a/3=b/4=c/5,求a²+2b²-c²/3a²-b²+c的值.(abc不等于0)
已知a/3=b/4=c/5,求a²+2b²-c²/3a²-b²+c的值.(abc不等于0)
已知a/3=b/4=c/5,求a²+2b²-c²/3a²-b²+c的值.(abc不等于0)
∵a/3=b/4=c/5
∴b=4/3 a,c=5/3 a
a²+2b²-c²=a²+2×(4/3 a)²-(5/3 a)²=a²+32/9 a²-25/9 a²=16/9 a²
3a²-b²+c²=3a²-(4/3 a)²+(5/3 a)²=3a²-16/9 a²+25/9 a²=4a²
a²+2b²-c²/3a²-b²+c²=(16/9 a²)/4a²=4/9