Câu 1: A

Câu 2: D

Câu 3: B

Câu 4: C

Bài 1:

a) 

\(A=\left(\frac{4\sqrt{x}}{\sqrt{x}+2}-\frac{8x}{(\sqrt{x}-2)(\sqrt{x}+2)}\right):\left(\frac{\sqrt{x}-1}{\sqrt{x}(\sqrt{x}-2)}-\frac{2(\sqrt{x}-2)}{\sqrt{x}(\sqrt{x}-2)}\right)\)

\(=\frac{4\sqrt{x}(\sqrt{x}-2)-8x}{(\sqrt{x}-2)(\sqrt{x}+2)}:\frac{\sqrt{x}-1-2(\sqrt{x}-2)}{\sqrt{x}(\sqrt{x}-2)}=\frac{-4x-8\sqrt{x}}{(\sqrt{x}-2)(\sqrt{x}+2)}.\frac{\sqrt{x}(\sqrt{x}-2)}{-\sqrt{x}+3}\)

\(=\frac{-4\sqrt{x}(\sqrt{x}+2)}{(\sqrt{x}-2)(\sqrt{x}+2)}.\frac{\sqrt{x}(\sqrt{x}-2)}{3-\sqrt{x}}=\frac{-4x(\sqrt{x}-2)}{(\sqrt{x}-2)(3-\sqrt{x})}=\frac{4x}{\sqrt{x}-3}\)

b)

Ta có:
\(m(\sqrt{x}-3).A>x+2025\)

\(\Leftrightarrow 4xm>x+2025\Leftrightarrow x(4m-1)>2025\)

\(\Leftrightarrow 4m-1>\frac{2025}{x}\Leftrightarrow m>\frac{1}{4}(\frac{2025}{x}+1)\) với mọi $x>9$

\(\Leftrightarrow m> \max \frac{1}{4}(\frac{2025}{x}+1), \forall x>9\Leftrightarrow m>56,5\)

Bài 2:

a) 

\(\left\{\begin{matrix} 4x-3y=19\\ 2x+3y=11\end{matrix}\right.\Rightarrow 6x=30\Rightarrow x=5\)

\(y=\frac{4x-19}{3}=\frac{4.5-19}{3}=\frac{1}{3}\)

b) 

\(3x^2-20x+12=0\Leftrightarrow (x-6)(3x-2)=0\)

\(\Rightarrow \left[\begin{matrix} x=6\\ x=\frac{2}{3}\end{matrix}\right.\)

\(m_{H_2O}=1,62\left(g\right)\Rightarrow n_{H_2O}=0,09\left(mol\right)\Rightarrow n_H=0,18\left(mol\right);m_H=0,18.1=0,18\left(g\right)\\ n_{CO_2}=\dfrac{2,64}{44}=0,06\left(mol\right)\Rightarrow n_C=n_{CO_2}=0,06\left(mol\right);m_C=0,06.12=0,72\left(g\right)\\ Vây:m_C+m_H=0,72+0,18=0,9< 1,38\\ \Rightarrow X.có.chứa.O\\ m_O=1,38-0,9=0,48\left(g\right);n_O=\dfrac{0,48}{16}=0,03\left(mol\right)\\ Đặt.X:C_aH_bO_c\left(a,b,c:nguyên,dương\right)\\ Ta.có:a:b:c=0,06:0,18:0,03=2:6:1\\ \Rightarrow CTĐG:C_2H_6O\\ M_X=23.2=46\left(\dfrac{g}{mol}\right)=M_{C_2H_6O}\\ \Rightarrow X:C_2H_6O\)

  Câu 32 ạ

Đề dài thế này sao giải thích nhanh cho e đc

Part 1

1 C

2 B

3 D

4 C

5 B

6 A

Part 2

1 T

2 F

3 F

4 F

V

1 That old house has just been bought

2 If he doesn't take these pills, he won't be better

3 I suggest taking a train

4 Spending the weekend in the countryside is very wonderful

nhiều thật đấy

1.      What size shoes do you take?

2.      What newspaper do you read?

3.      What color are your eyes?

4.      What time did you arrive this morning?

5.      What kind of film do you like?

6.      How tall is your teacher?

7.      How far is it from your house to the office?

8.      How much did you pay for your new shirt?

9.      How often do you take an English test in class?

10.  How long have you been studying English?

Đề 1:

Bài 1:

\(a,=\sqrt{\left(\sqrt{7}+1\right)^2}-\left|-1+\sqrt{7}\right|=\sqrt{7}+1-\sqrt{7}+1=2\\ b,=2\sqrt{2}-4\sqrt{2}-5\sqrt{2}+\dfrac{\sqrt{2}}{2}=\dfrac{\sqrt{2}}{2}-7\sqrt{2}=\dfrac{-13\sqrt{2}}{\sqrt{2}}\)

Bài 2:

\(PT\Leftrightarrow\sqrt{\left(x-\dfrac{1}{2}\right)^2}=\dfrac{1}{2}\Leftrightarrow\left|x-\dfrac{1}{2}\right|=\dfrac{1}{2}\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}+\dfrac{1}{2}=1\\x=-\dfrac{1}{2}+\dfrac{1}{2}=0\end{matrix}\right.\)

Bài 3:

\(a,M=\dfrac{a-2\sqrt{a}+1}{\sqrt{a}\left(\sqrt{a}-1\right)}\cdot\dfrac{2\sqrt{a}}{\left(\sqrt{a}-1\right)\left(\sqrt{a}+1\right)}=\dfrac{2\left(\sqrt{a}-1\right)^2}{\left(\sqrt{a}-1\right)^2\left(\sqrt{a}+1\right)}=\dfrac{2}{\sqrt{a}+1}\\ b,M< 1\Leftrightarrow\dfrac{2}{\sqrt{a}+1}-1< 0\Leftrightarrow\dfrac{1-\sqrt{a}}{\sqrt{a}+1}< 0\\ \Leftrightarrow1-\sqrt{a}< 0\left(\sqrt{a}+1>0\right)\\ \Leftrightarrow a>1\)

a: Δ=(m-2)^2-4(m-4)

=m^2-4m+4-4m+16

=m^2-8m+20

=m^2-8m+16+4

=(m-2)^2+4>=4>0

=>Phương trình luôn có 2 nghiệm pb

b: x1^2+x2^2

=(x1+x2)^2-2x1x2

=(m-2)^2-2(m-4)

=m^2-4m+4-2m+8

=m^2-6m+12

=(m-3)^2+3>=3

Dấu = xảy ra khi m=3

a: góc CAO+góc CMO=180 độ

=>CAOM nội tiếp

b: Xét (O) có

CA,CM là tiếp tuyến

=>CA=CM và OC là phân giác của góc MOA(1)

Xét (O) co

DM,DB là tiếp tuyến

=>DM=DB và OD là phân giác của góc MOB(2)

CD=CM+MD=CA+DB

Từ (1), (2) suy ra góc COD=1/2*180=90 độ

c: AC*BD=CM*MD=OM^2=R^2

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