1 In order to make your parents happy, you should work hard

2 In order to prevent littering, put garbage bins along the streets

1 She learnt cooking so that she can cook for herself

2 They were talking in whispers so that nobody could hear them

She has learned English so that she can study abroad.

She has learned English so as to study abroad

She got up early in order to take the first train

She got up early in order to take the first train

It's not good for people to eat too much sugar

a: Gọi O là trung điểm của AB

=>O là tâm đường tròn đường kính AB

Xét (O) có

\(\hat{BAC}\) là góc nội tiếp chắn cung BC

\(\hat{BDC}\) là góc nội tiếp chắn cung BC

Do đó: \(\hat{BAC}=\hat{BDC}\)

=>\(\hat{IAB}=\hat{IDC}\)

b: Kẻ IE⊥AB tại E

Xét (O) có

ΔACB nội tiếp

AB là đường kính

Do đó: ΔACB vuông tại C

Xét (O) có

ΔADB nội tiếp

AB là đường kính

Do đó: ΔADB vuông tại D

Xét ΔAEI vuông tại E và ΔACB vuông tại C có

\(\hat{EAI}\) chung

Do đó: ΔAEI~ΔACB

=>\(\frac{AE}{AC}=\frac{AI}{AB}\)

=>\(AE\cdot AB=AI\cdot AC\)

Xét ΔBEI vuông tại E và ΔBDA vuông tại D có

\(\hat{EBI}\) chung

Do đó: ΔBEI~ΔBDA

=>\(\frac{BE}{BD}=\frac{BI}{BA}\)

=>\(BI\cdot BD=BE\cdot BA\)

\(AI\cdot AC+BI\cdot BD\)

\(=AE\cdot AB+BE\cdot BA\)

\(=AB\left(AE+BE\right)=AB^2\)

102. People say that, if you run, you burn calories efficiently. (supposed)

→ Running is supposed to be a _{………………………..…………………………………………..} way of burning calories.

103.  It might well rain tomorrow so I think you should take your umbrella. (case)

→ Don’t forget to take your umbrella _{………in case it rains………………..…………………………………………..} tomorrow.

104.  Tom frequently invents ridiculous stories like that! (make)

® It is typical _{…………that Tom makes up……………..…………………………………………..} a ridiculous story like that!

105.  I don’t mind whether we stay in or go out this evening. (difference)

→ It doesn’t _{……make any difference…………………..…………………………………………..} whether we stay in or go out this evening.