cho: 2a+b+c+d/a=a+2b+c+d/b=a+b+2c+d/c=a+b+c+2d/d.Tính M=a+b/c+d + b+c/d+a + c+d/a+b + d+a/b+c
cho 2a+b+c+d / a = a+2b+c+d / b = a+b+2c+d = a+b+c+2d / d
tính M = a+b / c+d + b+c / d+a + c+d / a+b + d+a / b+c
Cho biểu thức sau:$\frac{2a+b+c+d}{a}$2 a + b + c + d a bam vao do nho bam lik e :\
cho a/b=b/c=c/d=d/a va a+b+c khac 0.
Tinh M = 2a-b/c+d + 2b-c/a+d + 2c-d/a+b + 2d-a/b+c
\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{d}{a}=\frac{a+b+c+d}{a+b+c+d}=1\left(\text{ vì a+b+c+d khác 0}\right)\)
\(\Rightarrow a=b=c=d\)
\(M=\frac{2a-b}{c+b}+\frac{2b-c}{a+d}+\frac{2c-d}{a+b}+\frac{2d-a}{b+c}=\frac{2a-a}{a+a}+\frac{2b-b}{b+b}+\frac{2c-c}{c+c}+\frac{2d-d}{d+d}=\frac{1}{2}.4=2\)
cho a/b=b/c=c/d=d/a trong đó a+b+c+d khác 0 tính giá trị biểu thức M= 2a-b/c+d+ 2b-c/d+a + 2c-d/a+b + 2d -a/b+c
cho dãy số bằng nhau (2a+b+c+d)/a = (a+2b+c+d)/b = (a+b+2c+d)/c = (a+b+c+2d)/d
tính giá trị M = a+b/c+d + b+c/d+a c+d/a+b + d+a/b+c
Cho dãy tỷ số bằng nhau 2a+b+c+d/a=a+2b+c+d/b=a+b+2c+d/c=a+b+c+2d/d
Tính M=a+b/c+d + b+c/d+a + c+d/a+b + d+a/b+c
co 2a+b+c+d/a = a+2b+c+d/b = a+b+2c+d/c = a+b+c+2d/d
tinh M= a+b/c+d + b+c/d+a + c+d/a+b + d+a/b+c
2a+b+c+d/a=a+2b+c+d/b=a+b+2c+d/c=a+b+c+2d/d
\(\Leftrightarrow\)a+a+b+c+d/a=a+b+b+c+d/b=a+b+c+c+d/c=a+b+c+d+d/d
\(\Leftrightarrow\)a+b+c+d/a+1=a+b+c+d/b+1=a+b+c+d/c+1=a+b+c+d/d+1
\(\Leftrightarrow\)a+b+c+d/a=a+b+c+d/b=a+b+c+d/c=a+b+c+d/d
Dến đây ta xét 2 TH:
a+b+c+d≠0
a+b+c+d=0
Ta có: (2a+b+c+d/a)-1=(a+2b+c+d/b)-1=(a+b+2c+d/d)-1=(a+b+c+2d/d)-1
=>a+b+c+d/a=a+c+b+d/b=a+b+c+d/c=a+b+c+d/d
=>a=b=c=d (1)
Ta lại có: a+b+c+d/a=a+b+c+d/b=a+b+c+d/c=a+b+c+d/d
=> a+b+c+d/a=a+b+c+d/b=a+b+c+d/c=a+b+c+d/d=(a+b+c+d+a+b+c+d+a+b+c+d+a+b+c+d+)/a+b+c+d
=4(a+b+c+d)/a+b+c+d=4 (2)
Từ (1) và (2) => a=b=c=d=1
=> M=1+1/1+1 + 1+1+/1+1 + 1+1/1+1 + 1+1/1+1
=4
Cho dãy tỉ số bằng nhau: (2a+b+c+d) /a = (a+2b+c+d) / b = (a+b+2c+d) / c = (a+b+c+2d) / d.
tính M = (a+b/c+d )+ (b+c/d+a )+(c+d/a+b) + (d+a/b+c).
Ta có:\(\frac{2a+b+c+d}{a}=\frac{a+2b+c+d}{b}=\frac{a+b+2c+d}{c}=\frac{a+b+c+2d}{d}=\frac{2a+b+c+d+a+2b+c+d+a+b+2c+d+a+b+c+2c}{a+b+c+d}=4\)
=>2a+b+c+d=4a
=>2a=b+c+d
Tương tự ta có:2b=a+c+d
2c=a+b+d
2d=a+b+c
=>2a+2b=b+c+d+a+c+d=>a+b+2c+2d
=>a+b=2c+2d
=>a+b/c+d=2
Tương tự ta có:b+c/d+a=2
c+d/a+b=2
d+a/b+c=2
=>M=2+2+2+2=8
Moon Light sai rồi bn nhé
Cộng vào bằng 5 nhé
cho:\(\dfrac{2a+b+c+d}{a}=\dfrac{a+2b+c+d}{b}=\dfrac{a+b+2c+d}{c}=\dfrac{a+b+c+2d}{d}\)
tính giá trị biểu thức :
\(M=\dfrac{a+b}{c+d}=\dfrac{b+c}{d+a}=\dfrac{c+d}{a+b}=\dfrac{d+a}{b+c}\)
\(TH1:a+b+c+d\ne0\)
\(\dfrac{2a+b+c+d}{a}=\dfrac{a+2b+c+d}{b}=\dfrac{a+b+2c+d}{c}=\dfrac{a+b+c+2d}{d}\)
\(\Rightarrow\dfrac{2a+b+c+d}{a}-1=\dfrac{a+2b+c+d}{b}-1=\dfrac{a+b+2c+d}{c}-1=\dfrac{a+b+c+2d}{d}-1\)
\(\Rightarrow\dfrac{a+b+c+d}{a}=\dfrac{a+b+c+d}{b}=\dfrac{a+b+c+d}{c}=\dfrac{a+b+c+d}{d}\)
\(\Rightarrow a=b=c=d\)
\(M=\dfrac{a+b}{c+d}+\dfrac{b+c}{d+a}+\dfrac{c+d}{a+b}+\dfrac{a+d}{b+c}\)
\(=1+1+1+1\)
\(=4\)
\(TH2:a+b+c+d=0\)
\(\Rightarrow\left\{{}\begin{matrix}a+b=-\left(c+d\right)\\b+c=-\left(d+a\right)\\c+d=-\left(a+b\right)\\d+a=-\left(b+c\right)\end{matrix}\right.\)
\(M=\dfrac{a+b}{c+d}+\dfrac{b+c}{d+a}+\dfrac{c+d}{a+b}+\dfrac{a+d}{b+c}\)
\(=-\dfrac{c+d}{c+d}-\dfrac{d+a}{d+a}-\dfrac{a+b}{a+b}-\dfrac{b+c}{b+c}\)
\(=-1-1-1-1\)
\(=-4\)
Cho a/b=b/c=c/d=d/a trong đó a+b+c+d khác 0. Tính giá trị biểu thức M = (2a-b)/(c+d)+(2b-c)/((d+c)+(2c-d)/(a+b)+(2d-a0/(b+c)
a/b=b/c=c/d=d/a=(a+b+c+d)/(b+c+d+a)=1
>a=b=c=d>tự tính