Cho a - b = 1. Tinh S biet:
S = - ( a - b - c ) + ( - c + b + a ) - ( a + b )
Cho a-b=1.Tinh S biet:S=-(a-b-c)+(-c+b+a)-(a+b)
cho a+b+c=2016 va 1/(a+b)+1/(b+c)+1/(c+a)=1/90 tinh S=a/(b+c)+b/(c+a)+c/(a+b)
\(S=\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=\left(\frac{a}{b+c}+1\right)+\left(\frac{b}{c+a}+1\right)+\left(\frac{c}{a+b}+1\right)-3\)
\(\Rightarrow S=\left(\frac{a+b+c}{b+c}\right)+\left(\frac{a+b+c}{c+a}\right)+\left(\frac{a+b+c}{a+b}\right)-3\)
\(\Rightarrow S=\left(a+b+c\right).\left(\frac{1}{b+c}+\frac{1}{c+a}+\frac{1}{a+b}\right)-3=2016.\frac{1}{90}-3=\frac{97}{5}\)
Vậy....................
Cho a+b+c=2010 va 1/(a+b)+1/(b+c)+1/(c+a)=1/3
Tinh S=a/(b+c)+b/(c+a)+c/a+b
\(S+3=\left(\frac{a}{b+c}+1\right)+\left(\frac{b}{c+a}+1\right)+\left(\frac{c}{a+b}+1\right)\)
\(=\frac{a+b+c}{b+c}+\frac{a+b+c}{c+a}+\frac{a+b+c}{a+b}\)
\(=\left(a+b+c\right)\left(\frac{1}{b+c}+\frac{1}{c+a}+\frac{1}{a+b}\right)\)
\(=2010.\frac{1}{3}=670\)
\(\Rightarrow S=670-3=667\)
Cho a+b + c
Va 1/a+b +1/b+c + 1/ c+a = 1/90
Tinh S= a/b+c + b/c+a + c/a+b
Cho 1/a+b+1/b+c+1/c+d=1/90
tinh S= a/b+c + b/c+a + c/a+b
Cho a > b ; tinh | S | biet :
S = - ( a - b - c ) + ( -c + b + a ) - ( a + b )
S=-a+b+c-c+b+a-a-b
=(-a+a)+(b-b)+(c-c)
=-a+b
\(\Rightarrow\)/S/=/-a+b/=a+b
biet a - b = 1, tinh S = - ( a -b - c) + ( a - b- c) - ( a- b)
1)tìm hai số nguyên a,b biết :a>0 và a.(b-2)=3
2)cho a>0 tinh |s| biet: S=(a-b-c)+(-c+b+a)-(a+b)
giup minh di
1. Chứng minh rằng
a) (a+b-c) + (a-b) - (a-b-c) = - (a-b+c)
b) - (a-b-c) + (-a+b-c ) - (-a+b+c) + (c-a)
2. Cho M = (-a+b) - (b+c+a) + (c-a)
Chứng minh rằng nếu a < 0 thì M > 0
3. Chứng minh A và B là 2 số đối nhau
a) A = a-b , B = b-a
b) A = a-b+c , B = -a+b-c
4. Cho a-b=1 . Tinh S , biết :
S= -(a-b-c) + (-c+b+a) - ( a+b )