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II.
1. D
2. A
3. B
4. C
5. D (đoán thế)
III.
1. playing
2. car
3. hobby
4. flu
5. weight
6. homeless
IV:
1. C
2. C
3. D
Lời giải:
$\frac{b}{2}=\frac{c}{5}\Leftrightarrow \frac{b}{4}=\frac{c}{10}$
Vậy: $\frac{a}{3}=\frac{b}{4}=\frac{c}{10}$
Áp dụng tính chất dãy tỉ số bằng nhau:
$\frac{a}{3}=\frac{b}{4}=\frac{c}{10}=\frac{a+b-c}{3+4-10}=\frac{3}{-3}=-1$
$\Rightarrow a=-1.3=-3; b=-1.4=-4; c=-1.10=-10$
3: Ta có: A=B|x-4|
\(\Leftrightarrow\dfrac{\sqrt{x}-2}{\sqrt{x}-5}:\dfrac{1}{\sqrt{x}-5}=\left|x-4\right|\)
\(\Leftrightarrow\left|x-4\right|=\sqrt{x}-2\)
\(\Leftrightarrow\left[{}\begin{matrix}x-4=\sqrt{x}-2\left(x\ge4;x\ne25\right)\\x-4=2-\sqrt{x}\left(0< x< 4\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x-\sqrt{x}-2=0\\x+\sqrt{x}-6=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\left(nhận\right)\\x=4\left(loại\right)\end{matrix}\right.\)
1: Thay x=9 vào A, ta được:
\(A=\dfrac{3-2}{3-5}=\dfrac{-1}{-2}=\dfrac{1}{2}\)
2: Ta có: \(B=\dfrac{3}{\sqrt{x}+5}+\dfrac{20-2\sqrt{x}}{x-25}\)
\(=\dfrac{3\sqrt{x}-15+20-2\sqrt{x}}{\left(\sqrt{x}+5\right)\left(\sqrt{x}-5\right)}\)
\(=\dfrac{1}{\sqrt{x}-5}\)
1:
\(A=\dfrac{6.62^2+5,4\cdot3,38+2,22\cdot3,38}{20.1^2-13^2+33.1\cdot12.9}\)
\(=\dfrac{6.62^2+3.38\left(5.4+2.22\right)}{\left(20.1-13\right)\left(20.1+13\right)+33.1\cdot12.9}\)
\(=\dfrac{6.62^2+3.38\cdot7,62}{33.1\left(20.1-13+12.9\right)}\)
\(=\dfrac{69.58}{33.1\cdot20}=\dfrac{3479}{33100}\)
\(B=\dfrac{\left(1,09-0,29\right)\cdot1\dfrac{1}{4}}{18,9-16\dfrac{3}{20}-\dfrac{8}{9}}\)
\(=\dfrac{0.9\cdot1.25}{2.75-\dfrac{8}{9}}=\dfrac{9}{8}:\left(\dfrac{11}{4}-\dfrac{8}{9}\right)\)
\(=\dfrac{9}{8}:\dfrac{99-32}{36}=\dfrac{9}{8}:\dfrac{67}{36}\)
\(=\dfrac{9}{8}\cdot\dfrac{36}{67}=\dfrac{81}{134}\)
2:
\(A=\left(0,25\right)^{-1}\cdot\left(1\dfrac{1}{4}\right)^2+25\cdot\left[\left(\dfrac{4}{3}\right)^4:\left(\dfrac{5}{4}\right)^3\right]:\left(-\dfrac{2}{3}\right)^3\)
\(=4\cdot\left(\dfrac{5}{4}\right)^2+25\cdot\left[\dfrac{256}{81}:\dfrac{125}{64}\right]:\left(-\dfrac{8}{27}\right)\)
\(=\dfrac{25}{4}+25\cdot\dfrac{256}{81}\cdot\dfrac{64}{125}\cdot\dfrac{-27}{8}\)
\(=\dfrac{25}{4}+\dfrac{1}{5}\cdot\dfrac{-1}{3}\cdot32\)
\(=\dfrac{25}{4}-\dfrac{32}{15}=\dfrac{247}{60}\)