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a/EG=\(\dfrac{2}{3}\)EK
GK=\(\dfrac{1}{3}\)EK
GK=\(\dfrac{1}{2}\)EG
b/DH=\(\dfrac{3}{2}\)DG
DH=3GH
DG=2GH
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bao con đầu là thuộc ( -1;3;-2,53)
còn ba con cuối là không thuộc
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a) Theo đề bài, ta có :
\(a-b=2\left(a+b\right)=\frac{a}{b}\\ \Leftrightarrow a-b=2a+2b\\ \Leftrightarrow a-2a=b+2b\\ \Leftrightarrow-a=3b\\ \Leftrightarrow a=-3b\)
Thay a = -3b vào \(a-b=\frac{a}{b}\), ta được :
\(-3b-b=-\frac{3b}{b}\\ \Leftrightarrow-4b=-3\\ \Leftrightarrow b=-\frac{3}{-4}=\frac{3}{4}\)
Vì :
\(a=-3b\\ \Rightarrow a=-3\cdot\frac{3}{4}=-\frac{9}{4}\)
Vậy :
\(\left\{\begin{matrix}a=-\frac{9}{4}\\b=\frac{3}{4}\end{matrix}\right.\)
b) Theo đề bài, ta có :
\(a+b=ab=\frac{a}{b}\\ \Rightarrow a=ab^2\\ \Rightarrow b^2=\frac{a}{a}=1\\ \Rightarrow\left[\begin{matrix}b=1\\b=-1\end{matrix}\right.\)
TH1 : b = 1
\(\Rightarrow a+1=a\cdot1\\ \Rightarrow a+1=a\\ \Rightarrow a-a=1\)
\(\Rightarrow0=1\) ( Vô lý )
TH2 : \(b=-1\)
\(\Rightarrow a-1=a\cdot\left(-1\right)\\ \Rightarrow a-1=-a\\ \Rightarrow2a=1\\ \Rightarrow a=\frac{1}{2}\)
Vậy :
\(\left\{\begin{matrix}a=\frac{1}{2}\\b=-1\end{matrix}\right.\)
c) Theo đề bài, ta có :
\(\left\{\begin{matrix}ab=2\\bc=3\\ac=54\end{matrix}\right.\)
\(\Rightarrow\frac{b}{c}=\frac{ab}{ac}=\frac{2}{54}=\frac{1}{27}\\ \Rightarrow\frac{b}{1}=\frac{c}{27}\\ \Rightarrow\frac{b^2}{1}=\frac{c^2}{729}=\frac{bc}{27\cdot1}=\frac{3}{27}=\frac{1}{9}\)
\(\Rightarrow\left\{\begin{matrix}b^2=\frac{1}{9}\cdot1=\frac{1}{9}\\c^2=\frac{1}{9}\cdot729=81\end{matrix}\right.\)
\(\Rightarrow\left\{\begin{matrix}b=\sqrt{\frac{1}{9}}=\frac{1}{3}\\c=\sqrt{81}=9\end{matrix}\right.\)
Vì \(\left\{\begin{matrix}ac=54\\c=91\end{matrix}\right.\)
\(\Rightarrow a=\frac{54}{9}=6\)
Vậy :
\(\left\{\begin{matrix}a=6\\b=\frac{1}{3}\\c=9\end{matrix}\right.\)
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\(3\in Q\)
\(3\in R\)
\(3\notin I\)
\(-2,53\in Q\)
\(0,2\left(35\right)\notin I\)
\(N\subset Z\)
\(I\subset R\)
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B = 3 vì B+B+B+B+B = 15 = Bx5 = 15 = 3
Thay B = 3 vào B+B+A+B+B ta có:
3+3+A+3+3 = 20
12 + A =20
A = 8
Thay A=8;B=3 vào A+B+A+C+A ta có:
8+3+8+C+8 = 31
C+27=31
C = 4
Thay c=4 ;b=3 vào C+X+B+X+C ta có:
4 + x+3+X+4 = 21
11 + X x 2 = 21
X x 2 = 10
x =5
Thay x = 5 ; b=3 vào X + B+X+Y+X ta có:
5+3+5+Y+5 = 27
18 + Y=27
Y=9
Vậy C +Y+B+X+A = 4+9+3+5+8=29
B+B+B+B+B=15 => b = 3 .
B+B+A+B+B=20 => 20 - 3 x 4 = A = 20 - 12 = A => A = 8 .
A+B+A+C+A=31 => 8 + 3 + 8 + C + 8 = 31 => 8 x 3 + 3 + C = 31 => 24 + 3 + C = 31 => 27 + C = 31 => c = 4 .
C+X+B+x+C=21 => 4 x 2 + 3 + x.2 = 21 => 8 + 3 + x.2 = 21 = 11 + x.2 = 21 => x . 2 = 10 => x = 5 .
X+B+X+Y+X=27 = 5 + 3 + 5 + Y + 5 = 27 => 18 + Y = 27 => Y = 9 .
vậy C + Y + B + X + A = 4 + 9 + 3 + 5 + 8 = 29
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Bài 1
a)\(\left|x\right|=\left|\dfrac{1}{2}\right|\Rightarrow x=\dfrac{1}{2}hoặcx=\dfrac{-1}{2}\)
Vậy \(x\in\left\{\dfrac{1}{2};\dfrac{-1}{2}\right\}\)
b)\(\left|2,5-x\right|=1,3\)
\(\Rightarrow2,5-x=1,3hoặc2,5-x=-1,3\)
TH1
2,5-x=1,3
x=1,2
TH2
2,5-x=-1,3
x=3,8
Vậy\(x\in\left\{1,2;3,8\right\}\)
c)\(\left(x-2\right)^2=1\)
\(\Rightarrow x-2=1hoặcx-2=-1\)
TH1
x-2=1
x=3
TH2
x-2=-1
x=1
Vậy\(x\in\left\{3;1\right\}\)
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a: Q={a/b; a,b là các số nguyên và b<>0}
b: I={c|c<>a/b với a,b là các số nguyên,b khác 0}
c: R=Q\(\cup\)I
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