Cho nửa đường tròn tâm O cố định, bán kính R, đường kính AB. Vẽ dây MN=R (M thuộc cung AN). Hai dây AN, BM cắt nhau tại điểm I. Tìm quỹ tích điểm I khi MN thay đổi vị trí trên đường tròn

giúp mk nhá, thanks nhìu :>>>

Cho đường tròn O và dây AB. Vẽ đường kính CD vuông góc với AB ( D thuộc cung nhỏ AB). Trên cung nhỏ BC lấy 1 điểm N. Các đường thẳng CN và DN lần lượt cắt đường thẳng AB tại E và F. Tiếp tuyến của đường tròn O tại N cắt đường thẳng AB tại I. CMR:

a) Các tam giác INE và INF là tam giác cân

b) AI = (AE+AF)/2

giúp mk nhá, thanks :>>

Cho tam giác ABC nội tiếp đường tròn (O).Trên các cung nhỏ AB và AC lần lượt lấy các điểm I và K sao cho cung AI=cung AK.Dây IK cắt các cạnh AB và AC lần lượt tại D và E.

a) Chứng minh: góc ADK= góc ACB

b) Tam giác ABC có thêm điều kiện gì thì tức giác DECB là hình thang cân

help me, please :>

Read the text carefully. Decide if the statements are true (T) or false (F) and choose the correct answers.

The Temple of Literature was constructed in 1070 under Ly Thanh Tong’s dynasty to honor Confucius at first and celebrate the doctorates and high rank scholars of Vietnam. In 1076, King Ly Nhan Tong continued the work and built Quoc Tu Giam as the first university of Vietnam.

The temple is divided into five court yards, each with its own significance and history. The first courtyard stretches from the main gate to Dai Trung gate. The second stands out with Khue Van Cac pavilion. The third courtyard is where doctors’ names were engraved on stelae above tortoise backs. There are a total of 82 stelae, with names and origins of 1307 doctors, corresponding to 82 examination courses from 1442 to 1779. The fourth courtyard is dedicated for Confucius and his 72 honored students, as well as Chu Van An - a famous teacher known for his devotion to teaching. This is also where local authorities choose to honor outstanding students in Hanoi nowadays, like those with top entrance results to university or top graduation outcomes. The last and also furthest courtyard is Thai Hoc house, which used to be Quoc Tu Giam - the first university of Vietnam.

After more than 900 years of existence, the Temple of Literature is an example of well-preserved traditional Vietnamese architecture. Along the pass are 100-year-old trees that have witnessed the ups and downs of history.

1. The construction of the Temple of Literature took place in 1076.

2. Quoc Tu Giam is considered to be the first university of Vietnam.

3. The names and places of birth of doctors were carved on tortoise backs.

4. Chu Van An used to be a teacher at Quoc Tu Giam.

5. The Temple of Literature has now lost most of its traditional Vietnamese architecture.

6. What does the text mainly discuss?

a. The location of the Temple of Literature.

b. The origin of the Temple of Literature.

c. The structure of the Temple of Literature.

d. The first university of Vietnam.

7. The word “stelae” in the second paragraph is closest in meaning to .

a. tombstones b. trophies c. records d. pillars

8. It can be inferred from the passage that .

a. Confucius was the first teacher of Quoc Tu Giam.

b. the Temple of Literature is an important historic site in Vietnam.

d. Vietnamese people highly appreciate the talent of scholars.

Mark the letter a, b, c or d to indicate that underlined part that needs correction in each of the following questions.

1. The doctor suggested that she does exercises regularly and go to bed as early as possible.

A B C D

2. I wish I can set foot on every corner of Vietnam when I reach 40.

A B C D

3. They are getting used to eating alone as their parents often come home lately.

A B C D

4. It is expected that there has been more than 5 million international tourists to visit Ha Long Bay this year.

A B C D

5. I used to having a very bad argument with my Maths teacher when I was at high school.

A B C D

6. In spite of his dropped out of Harvard in 1975, Bill Gates managed to found Microsoft with his childhood friend. A B C D 7. The number of milk tea shops has increased considerable in Ho Chi Minh City during the last

A B C D

two years.

8. If time had turned back, I would enjoy my childhood in the most fabulous way.

A B C D

9. No matter how hardly I tried, I couldn’t understand the meaning of the story.

A B C D

10. Vietnamese young people prefer eating out to cook the meals on their own.

A B C D