Chứng tỏ rằng:A=\(\frac{10}{27}\)+\(\frac{9}{16}\) +\(\frac{11}{34}\) <2
Chứng tỏ :
S = \(\frac{1}{201}\)+ \(\frac{1}{202}\)+.........+\(\frac{1}{399}\)+\(\frac{1}{400}\)>\(\frac{1}{2}\)
A = \(\frac{10}{27}\)+ \(\frac{9}{16}\)+ \(\frac{11}{34}\)< 2
a)Cho A=\(\frac{10}{27}\)+\(\frac{9}{16}\)+\(\frac{11}{34}\).Chứng tỏ rằng A<2
b)Cho B=\(\frac{1}{12}\)+\(\frac{1}{13}\)+\(\frac{1}{14}\)+...+\(\frac{1}{22}\).Chứng tỏ rằng B>\(\frac{1}{2}\)
lấy vở bồi dưỡng toán ra xem ^^ ko có thì thôi^^
giải:
a) A = \(\frac{10}{27}\) +\(\frac{9}{16}\)+\(\frac{11}{34}\)=1,256
=> A < 2
b) B = \(\frac{1}{12}\)+\(\frac{1}{13}\)+\(\frac{1}{14}\)+....+\(\frac{1}{22}\)=0,477 ; \(\frac{1}{2}\)=0,5
=> ko tke chúng tỏ vì B < 0,5
hok tốt nha !!!
Cho A = 10/27 + 9/16 + 11 / 34 . Chứng tỏ rằng a < 2
ta có: \(\frac{10}{27}< \frac{10}{30}=\frac{1}{3}\)
\(\frac{9}{16}< \frac{9}{9}=1\)
\(\frac{11}{34}< \frac{11}{22}=\frac{1}{2}\)
=>A<\(\frac{1}{3}+1+\frac{1}{2}\)<2
vậy A<2
chuwngs minh :
A=\(\frac{10}{27}\) + \(\frac{9}{16}\) +\(\frac{11}{34}\) < 2
10/27 < 10/15, 9/16 < 9/15, 11/34 < 11/15
=>10/27 + 9/16 + 11/34 < 10/15 + 9/15 + 11/15
=>A < 30/15
=>A < 2 (đpcm)
\(\frac{5-\frac{5}{3}+\frac{5}{9}-\frac{5}{27}}{8-\frac{8}{3}+\frac{8}{9}-\frac{8}{27}}:\frac{15-\frac{15}{11}+\frac{15}{121}}{16-\frac{16}{11}+\frac{16}{121}}\)
\(\frac{5-\frac{5}{3}+\frac{5}{9}-\frac{5}{27}}{8-\frac{8}{3}+\frac{8}{9}-\frac{8}{27}}:\frac{15-\frac{15}{11}+\frac{15}{121}}{16-\frac{16}{11}+\frac{16}{121}}\)
\(=\frac{5\left(1-\frac{1}{3}+\frac{1}{9}-\frac{1}{27}\right)}{8\left(1-\frac{1}{3}+\frac{1}{9}-\frac{1}{27}\right)}:\frac{15\left(1-\frac{1}{11}+\frac{1}{121}\right)}{16\left(1-\frac{1}{11}+\frac{1}{121}\right)}\)
\(=\frac{5}{8}:\frac{15}{16}\)
\(=\frac{2}{3}\)
\(F=\frac{5-\frac{5}{3}+\frac{5}{9}-\frac{5}{27}}{8-\frac{8}{3}+\frac{8}{9}-\frac{8}{27}}:\frac{15-\frac{15}{11}+\frac{15}{121}}{16-\frac{16}{11}+\frac{16}{121}}\)
\(\frac{5\times\left(1-\frac{1}{3}+\frac{1}{9}-\frac{1}{27}\right)}{8\times\left(1-\frac{1}{3}+\frac{1}{9}-\frac{1}{27}\right)}\div\frac{15\times\left(1-\frac{1}{11}+\frac{1}{121}\right)}{16\times\left(1-\frac{1}{11}+\frac{1}{121}\right)}=\frac{5}{8}\div\frac{15}{16}=\frac{2}{3}\)
F=5-5x(1/3+1/9-1/27) /8-8x(1/3+1/9-1/27)
: 15-15x(1/11+1/121) /16-16x(1/11+1/121)
=5-5x1/8-8x1
: 15-15x1/16-16x1
=0:0=0
chắc vậy!
\(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}+\frac{9^2.2^{11}}{16^2.6^3}\)
\(\frac{\frac{5}{12}+\frac{1}{8}-\frac{7}{11}}{\frac{49}{11}-\frac{7}{8}-\frac{35}{12}}\)
\(\frac{5-\frac{5}{3}-\frac{5}{9}-\frac{5}{27}}{-8+\frac{8}{3}+\frac{8}{9}+\frac{8}{27}}:\frac{15-\frac{15}{11}-\frac{15}{121}}{16-\frac{16}{11}-\frac{16}{121}}\)
Rut gon: \(A=\frac{9+\frac{9}{11}+\frac{18}{23}-\frac{27}{27}}{8+\frac{8}{11}+\frac{16}{23}-\frac{24}{37}}-\frac{2+\frac{16}{29}-\frac{24}{13}-\frac{32}{11}}{3+\frac{24}{29}-\frac{36}{13}-\frac{48}{11}}\)