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5 tháng 2 2022

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25 tháng 3 2021

I

1 A

2C

3 B

4 D

5 B

II

1 D

2 B

3 B

4 B

5 A

6 D

7 B

8 B

9 D

10 A

III

1 leaving => left

2 Do => would

3 visit => visiting

4 play => playing

25 tháng 3 2021

3 careless

4 bleed

V

1 Hung has colllected stamps since 2000

2 The front yard isn't large enough to play soccer in

3 Milk is delivered twice a week by the milkman

4 When did you bought this computer?

5 His car doesn't run as fasst as a race car

6 Two languages can be spoken well by Lan

VI

1 T

2 F

3 T

4 T

VII

1 Mr. Nam is arriving in Hue tonight

2 They are going back to Englang in two months

3 It is not difficult to tránlate this sentence into English

4 Would you mind lending me your dictionary?

Bài này giải ở dưới r đó

Bài I:

1: Thay x=4 vào A, ta được:

\(A=\dfrac{4}{2+1}=\dfrac{4}{3}\)

2: \(B=\dfrac{3}{\sqrt{x}+1}+\dfrac{x+5}{x-1}-\dfrac{1}{\sqrt{x}-1}\)

\(=\dfrac{3}{\sqrt{x}+1}+\dfrac{\left(x+5\right)}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}-\dfrac{1}{\sqrt{x}-1}\)

\(=\dfrac{3\left(\sqrt{x}-1\right)+x+5-\sqrt{x}-1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\)

\(=\dfrac{3\sqrt{x}-3+x-\sqrt{x}+4}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}=\dfrac{x+2\sqrt{x}+1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\)

\(=\dfrac{\left(\sqrt{x}+1\right)^2}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)

3: P=A*B

\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\cdot\dfrac{x}{\sqrt{x}+1}=\dfrac{x}{\sqrt{x}-1}\)

P<=4

=>P-4<=0

=>\(\dfrac{x-4\sqrt{x}+4}{\sqrt{x}-1}< =0\)

=>\(\dfrac{\left(\sqrt{x}-2\right)^2}{\sqrt{x}-1}< =0\)

=>\(\sqrt{x}-1< 0\)

=>\(\sqrt{x}< 1\)

=>0<=x<1

Kết hợp ĐKXĐ, ta được: 0<=x<1

25 tháng 3 2021

3 careless

4 bleed

V

1 Hung has colllected stamps since 2000

2 The front yard isn't large enough to play soccer in

3 Milk is delivered twice a week by the milkman

4 When did you bought this computer?

5 His car doesn't run as fasst as a race car

6 Two languages can be spoken well by Lan

VI

1 T

2 F

3 T

4 T

VII

1 Mr. Nam is arriving in Hue tonight

2 They are going back to Englang in two months

3 It is not difficult to tránlate this sentence into English

4 Would you mind lending me your dictionary?

31 tháng 10 2021

3 careless

4 bleed

V

1 Hung has colllected stamps since 2000

2 The front yard isn't large enough to play soccer in

3 Milk is delivered twice a week by the milkman

4 When did you bought this computer?

5 His car doesn't run as fasst as a race car

6 Two languages can be spoken well by Lan

VI

1 T

2 F

3 T

4 T

VII

1 Mr. Nam is arriving in Hue tonight

2 They are going back to Englang in two months

3 It is not difficult to tránlate this sentence into English

4 Would you mind lending me your dictionary?

a: Áp dụng định lí Pytago vào ΔADC vuông tại D, ta được:

\(AC^2=AD^2+DC^2\)

\(\Leftrightarrow AC^2=8^2+15^2=289\)

hay AC=17cm

b: Áp dụng hệ thức lượng trong tam giác vuông vào ΔADC vuông tại D có DM là đường cao ứng với cạnh huyền AC, ta được:

\(DM\cdot AC=AD\cdot DC\)

\(\Leftrightarrow DM=\dfrac{120}{17}\left(cm\right)\)

10 tháng 9 2021

a ) Theo định lý py-ta-go trong ΔADC, ta có :
AC^2 = AD^2 + CD^2
         = 8^2 + 15^2
         = 64 + 225
         = 289
=> AC = 17 (cm)
b ) Ta có : 
Xét tam giác ΔMDA và ΔDCA, có :
góc A chung
góc AMD = góc ADC = 90 độ
=> ΔMDA ∼ ΔDCA (G.G)
=> MD/CD = AD/AC
=> MD = CD.AD/AC
           = 15.8/17
           = 7,1 (cm)