Vì : bz-cy/a=cx-az/b=ay-bx/c
=> a(bz-cy)/a^2=b(cx-az)/b^2=c(ay-bx)/c^2
=> abz-acy/a^2=bcx=baz/b^2=cay-cbx/c^2
Ap dung tính chất của dãy tỉ số bằng nhau :
=> abz-acy/a^2=bcx=baz/b^2=cay-cbx/c^2=a^2+...
= 0/a^2+b^2+c^2=0
Vì bz-cy/a=0=>bz=cy=>y/b=z/c (1)
Vì cx-az/b=0=>cx=az=>x/a=z/c (2)
Từ (1) và (2) => x/a=y/b=z/c
\(Cho:\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}.CMR:\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
Cho :\(\frac{Bz-Cy}{A}=\frac{Cx-Az}{B}=\frac{Ay-Bx}{C}\)
CMR : \(\frac{x}{A}=\frac{y}{B}=\frac{z}{C}\)
Biết rằng \(\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}\) .CMR: x : y : z = a : b : c
Cho \(\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}\) .CMR: \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
Các số a,b,c,x,y,z thỏa mãn điều kiện \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\).CMR :\(\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}\)
\(Cho:a,b,c,x,y,z\)thỏa mãn:\(\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}\)\(CMR:\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
Cho day ti so : \(\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c};\)
CMR: \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
cho \(\frac{bz-cy}{a}\)+\(\frac{cx-az}{b}+\frac{ay-bx}{c}\)CMR \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
\(\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}\)
CMR \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
