3.C

6.A

8.D

9.B

10.D

3c

6a

8c

9b

10d

vẽ hình chụp ra đây t làm cho

đg phân giác góc d đi qua trg đ ab là sao 

7A

8B

9C

10A

11D

12A

13B

14C

15A

08:43 :vvvv

Vì \(\widehat{MIA}=90^0\left(\text{góc nt chắn nửa đường tròn}\right)\) nên \(MI\perp IA\)

Xét \(\Delta MBP\) có \(\left\{{}\begin{matrix}PK\perp MB\left(PK\perp MN\right)\\MI\perp PB\left(MI\perp IA\right)\\\left\{H\right\}=PK\cap MI\end{matrix}\right.\) nên H là trực tâm 

Do đó \(HB\perp PM\)

Mà \(AM\perp PM\Rightarrow HB\text{//}AM\)

Vì \(HB\text{//}OA\Rightarrow\dfrac{PB}{PA}=\dfrac{HB}{OA}\)

Ta có \(\sin MPB=\sin MPA=\dfrac{MA}{PA}=\dfrac{2OA}{PA}\)

\(\Rightarrow\dfrac{1}{2}BP\cdot\sin MPB=\dfrac{PB\cdot\dfrac{2OA}{PA}}{2}=\dfrac{PB\cdot2OA}{2PA}=\dfrac{PB}{PA}\cdot OA=\dfrac{HB}{OA}\cdot OA=HB\left(đpcm\right)\)

1. should make up

2. be followed

26 Doing volunteering work brings lots of benefits

27 Let's go to the gym three times a week

28 Hanah lived in Korea years ago

26 They all enjoy the performances at the festival

27 Are you going to do anything on your birthday?

28 He's going to release his new album in February

2,3 nhé

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