Giúp mik T-T
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Câu 5:
A=1/22+1/32+1/42+...+1/982+1/992
Ta thấy:
1/22=1/2.2 < 1/1.2
1/32=1/3.3 < 1/2.3
1/42=1/4.4 < 1/3.4
...
1/982=1/98.98 < 1/97.98
1/992=1/99.99 < 1/98.99
A<1/1.2+1/2.3+1/3.4+...+1/97.98+1/98.99
A<1/1-1/2+1/2-1/3+1/3-1/4+...+1/97-1/98+1/98-1/99
A<1/1-1/99
A<98/99
99A/99<98/99
⇒99A/99>2/5
Vì 495A/495>198/495 nên A>2/5
Vậy A>2/5
Chúc bạn thi tốt!
ohh!mình học bài này rồi
nhưng mình không thisk toán nên không giải đâu hehe
Bài 1 :
\(n_{Na2O}=\dfrac{3,1}{62}=0,05\left(mol\right)\)
Pt : \(Na_2O+H_2O\rightarrow2NaOH|\)
1 1 2
0,05 0,05 0,1
\(n_{NaOH}=\dfrac{0,05.2}{1}=0,1\left(mol\right)\)
⇒ \(m_{NaOH}=0,1.40=4\left(g\right)\)
\(C_{NaOH}=\dfrac{4.100}{20}=20\)0/0
Chúc bạn học tốt
(1) \(2KMNO_4\underrightarrow{t^o}K_2MNO_4+MNO_2+O_2\)
(2) \(2Cu+O_2\underrightarrow{t^o}2CuO\)
(3) \(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
(4) \(2H_2+O_2\underrightarrow{t^o}2H_2O\)
(5) \(Na_2O+H_2O\rightarrow2NaOH\)
(6) \(P_2O_5+3H_2O\rightarrow2H_3PO_4\)
Chúc bạn học tốt
\(a,A=\left\{0;3;6;9;12;15;18;21;24\right\}\\ B=\left\{0;1;2;3\right\}\\ \left(x+1\right)\left(3x^2-10x+3\right)=0\\ \Leftrightarrow\left(x+1\right)\left(x-3\right)\left(3x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-1\\x=3\\x=\dfrac{1}{3}\left(ktm\right)\end{matrix}\right.\\ \Leftrightarrow C=\left\{-1;3\right\}\)
\(b,A\cap B=\left\{0;3\right\}\\ A\cup C=\left\{-1;0;3;6;9;12;15;18;21;24\right\}\\ A\B=\left\{6;9;12;15;18;21;24\right\}\\ A\C=\left\{0;6;9;12;15;18;21;24\right\}\)
Câu 2:
\(a,\Leftrightarrow\Delta'=\left(1-m\right)^2-\left(m^2-m\right)>0\\ \Leftrightarrow m^2-2m+1-m^2+m>0\\ \Leftrightarrow1-m>0\Leftrightarrow m< 1\\ b,\text{Áp dụng Viét: }\left\{{}\begin{matrix}x_1+x_2=2\left(1-m\right)\\x_1x_2=m^2-m\end{matrix}\right.\\ \left(2x_1-1\right)\left(2x_2-1\right)-x_1x_2=1\\ \Leftrightarrow2x_1x_2-2\left(x_1+x_2\right)+1-x_1x_2=1\\ \Leftrightarrow x_1x_2-2\left(x_1+x_2\right)=0\\ \Leftrightarrow m^2-m-4\left(1-m\right)=0\\ \Leftrightarrow m^2+3m-4=0\\ \Leftrightarrow\left(m-1\right)\left(m+4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}m=1\left(ktm\right)\\m=-4\left(tm\right)\end{matrix}\right.\)
Vậy m=-4
Câu 1:
\(1,\Leftrightarrow2x-2=3\Leftrightarrow x=\dfrac{5}{2}\\ 2,ĐK:x\ne\pm1\\ PT\Leftrightarrow\dfrac{2x^2+2x-1}{x^2-1}=2\\ \Leftrightarrow2x^2+2x-1=2x^2-2\\ \Leftrightarrow2x=-1\Leftrightarrow x=-\dfrac{1}{2}\left(tm\right)\\ 3,\Leftrightarrow\left[{}\begin{matrix}3x-2=2x-1\\3x-2=1-2x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{3}{5}\end{matrix}\right.\)
\(4,\Leftrightarrow\left[{}\begin{matrix}3x-1=2-x\left(x\ge\dfrac{1}{3}\right)\\3x-1=x-2\left(x< \dfrac{1}{3}\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}\left(tm\right)\\x=-\dfrac{1}{2}\left(tm\right)\end{matrix}\right.\\ 5,\Leftrightarrow4x^2-2x+10=9x^2-6x+1\left(x\le\dfrac{1}{3}\right)\\ \Leftrightarrow5x^2-4x-9=0\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{9}{5}\left(ktm\right)\\x=-1\left(tm\right)\end{matrix}\right.\)
\(6,\Leftrightarrow3x^2-9x+1=x^2-4x+4\left(x\ge2\right)\\ \Leftrightarrow2x^2-5x-3=0\\ \Leftrightarrow\left[{}\begin{matrix}x=3\left(tm\right)\\x=-\dfrac{1}{2}\left(ktm\right)\end{matrix}\right.\\ 7,\Leftrightarrow2x^2+3x-4=7x+2\left(x\ge-\dfrac{2}{7}\right)\\ \Leftrightarrow x^2-2x-3=0\\ \Leftrightarrow\left[{}\begin{matrix}x=3\left(tm\right)\\x=-1\left(ktm\right)\end{matrix}\right.\)
3 D
4 B
5 D
6 B
7 C
8 B
9 C
10 B