I.

1 D

2 B

3 D

4 A

5 C

6 A

7 A

8 C

II.

1 am listening

2 Are you playing

3 am reading/is watching

4 is cooking

5 is riding

II.

1 am listening (keep silent! . DHNB thì HTTD)

2 Are you playing ( now : DHNB thì HTTD)

3 am reading/is watching ( at the moment )

4 is cooking (at the moment  DNNB thì HTTD)

5 is riding ( look)

I.

1.A

2.D

3.D

4.A

5.C

6.A

7.A

8.C

II.

1.am listening

2.Are you playing

3.am reading

4.is cooking

5.is riding

1. Did you watch

2. have watched

3.  read

4. Have you read

5. am reading

6. have finished

\(=\left(x-y\right)^2-9=\left(x-y-3\right)\left(x-y+3\right)\)

\(x^2-2xy-9+y^2=\left(x^2-2xy+y^2\right)-9=\left(x-y\right)^2-3^2=\left(x-y-3\right).\left(x-y+3\right)\)

\(x^2-2xy-9+y^2=x^2-2xy+y^2-9=\left(x^2-2xy+y^2\right)-9=\left(x-y\right)^2-9=\left(x-y-3\right).\left(x-y+3\right)\)

1.

a, \(\left(C\right)x^2+y^2-6x-2y+6=0\)

\(\Leftrightarrow\left(C\right)\left(x-3\right)^2+\left(y-1\right)^2=4\)

\(\Rightarrow\) Tâm \(I=\left(3;1\right)\), bán kính \(R=2\)

b, Tiếp tuyến đi qua A có dạng: \(\left(\Delta\right)ax+by-5a-7b=0\left(a^2+b^2\ne0\right)\)

Ta có: \(d\left(I;\Delta\right)=\dfrac{\left|3a+b-5a-7b\right|}{\sqrt{a^2+b^2}}=2\)

\(\Leftrightarrow\left|a+3b\right|=\sqrt{a^2+b^2}\)

\(\Leftrightarrow6ab+8b^2=0\)

\(\Leftrightarrow2b\left(3a+4b\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}b=0\\3a+4b=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}\Delta_1:x=5\\\Delta_2:4x-3y+1=0\end{matrix}\right.\)

TH1: \(\Delta_1:x=5\)

Tiếp điểm có tọa độ là nghiệm hệ: \(\left\{{}\begin{matrix}x=5\\x^2+y^2-6x-2y+6=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=5\\y^2-2y+1=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=5\\y=1\end{matrix}\right.\Rightarrow\left(5;1\right)\)

TH2: \(\Delta_2:4x-3y+1=0\)

Tiếp điểm có tọa độ là nghiệm hệ: \(\left\{{}\begin{matrix}4x-3y+1=0\\x^2+y^2-6x-2y+6=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{7}{5}\\y=\dfrac{11}{5}\end{matrix}\right.\Rightarrow\left(\dfrac{7}{5};\dfrac{11}{5}\right)\)

Kết luận: Phương trình tiếp tuyến: \(\left\{{}\begin{matrix}\Delta_1:x=5\\\Delta_2:4x-3y+1=0\end{matrix}\right.\)

Tọa độ tiếp điểm: \(\left\{{}\begin{matrix}\left(5;1\right)\\\left(\dfrac{7}{5};\dfrac{11}{5}\right)\end{matrix}\right.\)

\(\left(x+2\right)^2-9=0\)

\(\Rightarrow\left(x+2\right)^2=9\)

\(\Rightarrow\left[{}\begin{matrix}x+2=3\\x+2=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-5\end{matrix}\right.\)

Vậy...