Điền dấu tích hợp dấu ><=
9/5..2. 7/6..29/24. 3..17/18
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`B=\frac{7}{40}+\frac{7}{88}+\frac{7}{154}+\frac{7}{238}+\frac{7}{340}`
`=\frac{7}{5.8}+\frac{7}{8.11}+\frac{7}{11.14}+\frac{7}{14.17}+\frac{7}{17.20}`
`=\frac{7}{3} . \left ( \frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+\frac{3}{14.17}+\frac{3}{17.20} \right )`
`=\frac{7}{3}. \left ( \frac15-\frac18+\frac18-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+\frac{1}{17}-\frac{1}{20} \right )`
`=\frac{7}{3} .\left( \frac15-\frac{1}{20} \right )`
`=\frac{7}{3} .\frac{3}{20}=\frac{7}{20}`
a) \(S_{EAG}=\dfrac{1}{2}\times AG\times ED=\dfrac{1}{2}\times2\times3=3\left(cm^2\right)\)
\(S_{PBC}=\dfrac{1}{2}\times BC\times DC=\dfrac{1}{2}\times5\times5=12,5\left(cm^2\right)\)
b) Ta có:
\(S_{EBC}=\dfrac{1}{2}\times BC\times EC=\dfrac{1}{2}\times5\times8=20\left(cm^2\right)\)
\(S_{PEC}=S_{ECB}-S_{PBC}=20-12,5=7,5\left(cm^2\right)\)
Vậy nên:
\(PD=\dfrac{2\times S_{PEC}}{EC}=\dfrac{2\times7,5}{8}=1,875\left(cm\right)\)
c) Ta thấy:
\(\dfrac{IM}{IP}=\dfrac{S_{MIG}}{S_{IPG}}=\dfrac{S_{MIE}}{S_{IPE}}\) nên \(\dfrac{IM}{IP}=\dfrac{S_{MGE}}{S_{GPE}}=\dfrac{\dfrac{1}{2}\times MG\times3}{\dfrac{1}{2}\times GP\times3}=\dfrac{MG}{GP}\)
Kéo dài AD cắt EF tại K.
Ta có \(S_{AKM}=\dfrac{1}{2}\times3\times2=3\left(cm^2\right)\)
nên \(S_{EKM}=S_{AKE}-S_{AKM}=\dfrac{1}{2}\times3\times5-3=4,5\left(cm^2\right)\)
Vậy \(FM=\dfrac{2\times S_{EKM}}{KE}=1,8\left(cm\right)\)
Thế thì \(MG=3-1,8=1,2\left(cm\right)\)
Lại có \(GP=3-1,875=1,125\left(cm\right)\)
Vậy nên:
\(\dfrac{IM}{IP}=\dfrac{MG}{GP}=\dfrac{1,2}{1,125}=\dfrac{16}{15}\).
a: 11+13+15+17+19
=(11+19)+(13+17)+15
=30+30+15
=75
b: \(122+2116+278+84\)
=(122+278)+(2116+84)
=400+2200
=2600
c: \(12\times125\times54\)
=1500x54
=81000
d: \(27\times36+27\times64=27\times\left(36+64\right)=27\times100=2700\)
e: \(25\text{x}37+25\text{x}63-150\)
=25x(37+63)-150
=25x100-150
=2500-150
=2350
f: \(425\text{x}74-27\text{x}425-1\)
=425x(74-27-1)
=425x46=19550
g: \(8\text{x}9\text{x}14+6\text{x}17\text{x}12+19\text{x}4\text{x}18\)
=14x72+17x72+19x72
=72x(14+17+19)
=50x72=3600
a) $11+13+15+17+19$
$=(11+19)+(13+17)+15$
$=30+30+15$
$=60+15=75$
b) $122+2116+278+84$
$=(122+278)+(2116+84)$
$=400+2200=2600$
c) $12\times125\times54$
$=3\times4\times125\times2\times27$
$=(4\times2)\times125\times(3\times27)$
$=8\times125\times81$
$=1000\times81=81000$
d) $27\times36+27\times64$
$=27\times(36+64)$
$=27\times100=2700$
e) $25\times37+25\times63-150$
$=25\times(37+63)-150$
$=25\times100-150$
$=2500-150=2350$
f) $425\times74-27\times425-425$
$=425\times(74-27-1)$
$=425\times(47-1)$
$=425\times46=19550$
g) $8\times9\times14+6\times17\times12+19\times4\times18$
$=(8\times9)\times14+(6\times12)\times17+(4\times18)\times19$
$=72\times14+72\times17+72\times19$
$=72\times(14+17+19)$
$=72\times(31+19)$
$=72\times50=3600$
$\mathtt{Toru}$
\(\dfrac{9}{5}< 2;\dfrac{7}{6}< \dfrac{29}{24};3>\dfrac{17}{18}\)
9/5< 2
Vì 10/5=2 mà 9/5<10/5
7/6<29/24
Quy đồng 7/6 và 29/24 ta được 28/24 và 29/24 mà 28/24<29/24
3>17/18
17/18<1 mà 3 > 1
Chúc cậu học tốt, thấy ok thì cho tớ xin một tim nhé!