18 tháng 6 2019 lúc 16:19
Violympic toán 7
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18 tháng 6 2019 lúc 16:07
Chứng minh : dfrac{a}{b}dfrac{c}{d} nếu biết :
a,dfrac{4a-3b}{4c-3d}dfrac{4a+3b}{4c+3d}
b,dfrac{2a-3b}{2a+3b}dfrac{2c-3d}{2c+3d}
c,dfrac{3a+5b}{3a-5b}dfrac{3c+5d}{3c-5d}
d,dfrac{4a-3b}{a}dfrac{4c-3d}{c}
e,dfrac{3a-7b}{b}dfrac{3c-7d}{d}
Đọc tiếp
Chứng minh : \(\dfrac{a}{b}=\dfrac{c}{d}\) nếu biết :
a,\(\dfrac{4a-3b}{4c-3d}=\dfrac{4a+3b}{4c+3d}\)
b,\(\dfrac{2a-3b}{2a+3b}=\dfrac{2c-3d}{2c+3d}\)
c,\(\dfrac{3a+5b}{3a-5b}=\dfrac{3c+5d}{3c-5d}\)
d,\(\dfrac{4a-3b}{a}=\dfrac{4c-3d}{c}\)
e,\(\dfrac{3a-7b}{b}=\dfrac{3c-7d}{d}\)
20 tháng 6 2019 lúc 8:00
Chứng minh \(\dfrac{a}{b} = \dfrac{c}{d}\) nếu biết
a, \(\dfrac {4a-3b}{4c-3d} = \dfrac {4a+3b}{4c+3d}\)
b, \(\dfrac {2a-3b}{2a+3b} = \dfrac {2c-3d}{2c+3d}\)
16 tháng 6 2019 lúc 9:26
Cho dfrac{a}{b} dfrac{c}{d} . Chứng minh :
a, (a+c).((b-d)(a-c).(b-d)
b, (a+c).b(b+d).a
c, a.(b-d)b(a-c)
d, (b+d).c(a+c).d
e, (b-d).c(a-c).d
f, (a+b).(c-d)(a-b).(c+d)
g, (2a+3c).(2b-3d)(2a-3c).(2b+3d)
h, (4a+3b).(4c-3d)(4a-3b).((4c+3d)
i, (2a+3b).(4c-5d)(4a-5b).(2c+3d)
k, (4a+5b).(7c-11d)(7a-11b).(4c+5d)
Đọc tiếp
Cho \(\dfrac{a}{b} = \dfrac{c}{d}\) . Chứng minh :
a, \((a+c).((b-d)=(a-c).(b-d)\)
b, \((a+c).b=(b+d).a\)
c, \(a.(b-d)=b(a-c)\)
d, \((b+d).c=(a+c).d\)
e, \((b-d).c=(a-c).d\)
f, \((a+b).(c-d)=(a-b).(c+d)\)
g, \((2a+3c).(2b-3d)=(2a-3c).(2b+3d)\)
h, \((4a+3b).(4c-3d)=(4a-3b).((4c+3d)\)
i, \((2a+3b).(4c-5d)=(4a-5b).(2c+3d)\)
k, \((4a+5b).(7c-11d)=(7a-11b).(4c+5d)\)
Cho \(\dfrac{a}{b}=\dfrac{c}{d}\) . CMR :
\(a,\dfrac{4a-3b}{4c-3d}=\dfrac{4a+3b}{4c+3d}\)
\(b,\dfrac{a^3+b^3}{c^3+d^3}=\dfrac{a^3-b^3}{c^3-d^3}\)
Cho a+b+c+d khác 0 sao cho: \(\dfrac{b+c+d}{a}=\dfrac{a+c+d}{b}=\dfrac{b+a+d}{c}=\dfrac{c+b+a}{d}\)
Hãy tính: M = \(\dfrac{2a+5b}{3c+4d}-\dfrac{2b+5c}{3d+4a}-\dfrac{2c+5d}{3a+4b}+\dfrac{2d+5a}{3c+4b}\)
Cho dfrac{a}{b}dfrac{c}{d}.CMR
a, dfrac{a+c}{b+d}dfrac{a-c}{b-d}
b, dfrac{c}{a+c}dfrac{b}{b+d}
c, dfrac{a+b}{a}dfrac{d}{c+d}
d, dfrac{2a+3c}{2b+3d}dfrac{2a-3c}{2b-3d}
e, dfrac{4a-3b}{a}dfrac{4c-3d}{c}
f, dfrac{a^2+b^2}{a^2-b^2}dfrac{c^2+d^2}{c^2-d^2}
Đọc tiếp
Cho \(\dfrac{a}{b}=\dfrac{c}{d}.CMR\)
a, \(\dfrac{a+c}{b+d}=\dfrac{a-c}{b-d}\)
b, \(\dfrac{c}{a+c}=\dfrac{b}{b+d}\)
c, \(\dfrac{a+b}{a}=\dfrac{d}{c+d}\)
d, \(\dfrac{2a+3c}{2b+3d}=\dfrac{2a-3c}{2b-3d}\)
e, \(\dfrac{4a-3b}{a}=\dfrac{4c-3d}{c}\)
f, \(\dfrac{a^2+b^2}{a^2-b^2}=\dfrac{c^2+d^2}{c^2-d^2}\)
1.C/m rằng
Nếu \(\dfrac{a}{b}=\dfrac{a}{c}\) thì
a,\(\dfrac{2a-3b}{2a+3b}=\dfrac{2c-3d}{3c+3d}\)
b,\(\dfrac{a+c}{b+d}=\dfrac{a-c}{b-d}\)
c,\(\left(\dfrac{a-b}{c-d}\right)^4=\dfrac{a^4+b^4}{c^4+d^4}\)
Cho: \(^{\dfrac{a}{b}=\dfrac{c}{d}\left(a,b,c,d\ne0\right)}\)
Chứng minh:
a) \(\dfrac{2a+7b}{3a-4b}=\dfrac{2c+7d}{3c-4d}\)
b) \(\dfrac{4a^2-5ab}{3a^2+7b^2}=\dfrac{4c^2-5cd}{3c^2+7d^2}\)
giúp mình gấp nha! Thanks
CMR nếu \(\dfrac{a}{b}=\dfrac{c}{d}\)thì
a, \(\dfrac{2a-3b}{2a+3b}=\dfrac{2c-3d}{2c+3d}\)
b, \(\dfrac{a+c}{b+d}=\dfrac{a-c}{b-d}\)
c,\(\left(\dfrac{a-b}{c-d}\right)^4=\dfrac{a^4+b^4}{c^4+d^4}\)