问题标题:
已知c/(a-b)=a/(b-c)=b/(a-c)=k,a,b,c为正数,则函数y=-kx一定过下列哪个点()A.(1,1/2)B.(1,-1/2)C.(1,2)D,(1,-1)
问题描述:
已知c/(a-b)=a/(b-c)=b/(a-c)=k,a,b,c为正数,则函数y=-kx一定过下列哪个点()
A.(1,1/2)
B.(1,-1/2)
C.(1,2)
D,(1,-1)
高海军回答:
已知c/(a-b)=a/(b-c)=b/(a-c)=kc=(a-b)k,a=(b-c)k=[b-(a-b)k]k=bk-ak+bk^2,a(1+k)=bk(1+k)(a-bk)(k+1)=0,如果k=-1则y=-kx=x,则四个点都不在其内所以a=bk,c=bk(k-1)因为a,b,c为正数,所以k>1b=(a-c)k=[bk-bk(k-1)]k=b...
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