Cho \(\frac{1}{c}=\frac{1}{2}\left(\frac{1}{a}+\frac{1}{b}\right)\) ( với a, b, c \(\ne\)0 và b\(\ne\)c). CMR : \(\frac{a}{b}=\frac{a-c}{c-b}\)
mong mn giúp đỡ
\(\frac{a}{c}=\frac{a-b}{b-c}\left(a;c\ne0;a\ne b;b\ne c\right)\)
\(Cmr:\frac{1}{a}+\frac{1}{a-b}=\frac{1}{b-c}-\frac{1}{c}\)
cho: \(\frac{1}{c}=\frac{1}{2}\left(\frac{1}{a}+\frac{1}{b}\right)\) ( với \(a,b,c\ne0;b\ne c\)) cmr: \(\frac{a}{c}=\frac{a-c}{c-b}\)
cho \(\frac{1}{c}\)=\(\frac{1}{2}\left(\frac{1}{a}+\frac{1}{b}\right)\)(với a, b, c \(\ne\)0; b\(\ne\)0)
chứng minh rằng: \(\frac{a}{b}=\frac{a-c}{c-b}\)
Cho \(\frac{1}{c}=\frac{1}{2}\left(\frac{1}{a}+\frac{1}{b}\right)\)(với a,b,c \(\ne0\); b\(\ne c\)) CMR : \(\frac{a}{b}=\frac{a-c}{c-b}\)
bài 1: cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\)
a) CMR: (a+2c)(b+d)=(a+c)(b+2d) \(\left(b,d\ne0\right)\)
b) CMR: (a+c)(b-d)=ab-cd
c) CMR: \(\frac{a}{a-b}=\frac{c}{c-d}\left(a,b,c,d>0;a\ne b,c\ne d\right)\)
bài 2: cho \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}CMR:\left(\frac{a+b+c}{b+c+d}\right)^3=\frac{a}{d}\)
Cho \(\frac{1}{c}=\frac{1}{2}\left(\frac{1}{a}+\frac{1}{b}\right)\) ( với a, b, c \(\ne\)0 và b \(\ne\)c ). Chứng minh rằng : \(\frac{a}{b}=\frac{a-c}{c-b}\)
mn giúp tôi đc ko???
Cho a,b,c\(\ne\)0,\(\frac{a+b-c}{c}=\frac{b+c-a}{a}=\frac{a+a-b}{b}\)
Tính D=\(\left(1+\frac{b}{a}\right)\left(1+\frac{c}{b}\right)\left(1+\frac{a}{c}\right)\)
CHO \(\frac{1}{C}=\frac{1}{2}\left(\frac{1}{a}=\frac{1}{b}\right)\)VỚI A;B;C \(\ne\)0 ; B\(\ne\)C CHỨNG MINH a/b = \(\frac{a-c}{c-d}\)
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