Trong không gian với hệ tọa độ Oxyz cho hai điểm A(3;3;1), B(0;2;1).và mặt phẳng (P): x   +   y   +   z   -   7   =   0 . Đường thẳng d nằm trong (P) sao cho mọi điểm của d cách đều hai điểm A, B có phương trình là

A.  x   =   t y   =   7   +   3 t z   =   2 t

B. x   =   2 t y   =   7   -   3 t z   =   t

C. x   =   t y   =   7   -   3 t z   =   2 t

D. x   =   - t y   =   7   -   3 t z   =   2 t

Read the following passage and mart the letter A, B, C or D on your answer sheet to indicate the correct answer to each of the questions from 40 to 47.

If you enjoy water sports, Hawaii is the place for you. You can go swimming all year round in the warm water. You can go sport fishing from the shore or from a boat. If you like boats, you can go sailing, canoeing, or windsurfing. Or, you can also try some other water sports that are especially popular in Hawaii: surfing, snorkeling and scuba diving.

Surfing is a sport which started in Hawaii many years ago. The Hawaiians called it “he’e nalu”, which means “to slide on a wave”. If you want to try surfing, you need, first of all, to be a good swimmer. You also have to have an excellent sense of balance. You must swim out from the beach with your surfboard under your arm. When you get to where the waves begin to break, you wait for a calm moment. Then you try to stand up on the board. The wave will begin to rise under you. You must try to steer the board with your feet so you stay on top of the wave. The important thing is to keep your balance and not fall down. If you can manage this, you will have an exciting ride all the way in to the shore.

Scuba diving and snorkeling are two ways to get a close look at the beauty lying below the surface of the ocean. The waters off the Hawaiian Islands are clean, clear and warm. They contain hundreds of kinds of colorful fish. The undersea world is made even more colorful by the coral reefs of red, gold, white and light purple. Among these reefs there may be larger fish or sea turtles.

Scuba diving allows you to see the most interesting undersea sights. “Scuba” means “Self-contained Underwater Breathing Apparatus”, that is, equipment for breathing and swimming around far under water. In Hawaii, you can take special courses to learn how to scuba dive. After the courses, you can get a certificate that will allow you to dive alone. Since it can be dangerous, proper instruction and great care are always necessary when you are scuba diving.

If you are adventurous, you might try snorkeling instead of scuba diving. Less equipment is needed, just a face mask, a breathing tube (snorkel) and flippers for your feet. It only takes a few minutes to learn how to snorkel. Although you cannot dive deep into the water, you can swim with your face below the surface. Breathing through the tube, you float on the surface, and keep yourself moving with your flippers. Even from the surface like this, there will be plenty of color and beauty to see. 

Which of the following is NOT true about surfing? 

A. It requires swimmers to have an excellent sense of balance

B. It requires expensive equipment

C. It was invented by the native Hawaiians

D. Anyone who wants to try surfing need to be a good swimmer

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35.

WAYS TO IMPROVE YOUR MEMORY

A good memory is often seen as something that comes naturally, and a bad memory as something that cannot be changed, but actually (31)_________ is a lot that you can do to improve your memory. We all remember the things we are interested in and forget the ones that bore us. This no doubt explains the reason (32)_________ schoolboys remember football results effortlessly but struggle with dates from their history lessons! Take an active interest in what you want to remember, and focus on it (33)_________ . One way to ‗make’ yourself more interested is to ask questions — the more the better! Physical exercise is also important for your memory, because it increases your heart (34)_________ and sends more oxygen to your brain, and that makes your memory work better. Exercise also reduces stress, which is very bad for the memory. The old saying that ―eating fish makes you brainy‖ may be true after all. Scientists have discovered that the fats (35)_________ in fish like tuna, sardines and salmon — as well as in olive oil — help to improve the memory. Vitamin-rich fruits such as oranges, strawberries and red grapes are all good ‗brain food’, too.

Điền ô số 34

A. degree

B. level

C. rate

D. grade

Một mạch dao động điện từ LC gồm cuộn dây thuần cảm có độ tự cảm không đổi và tụ điện có điện dung thay đổi được. Điện trở của dây dẫn không đáng kể và trong mạch có dao động điện từ riêng. Khi điện dung có giá trị C 1 thì tần số dao động riêng của mạch là f 1 . Khi điện dung có giá trị C 2   =   4 / 9   C 1 thì tần số dao động điện từ riêng trong mạch là

A. f 2   =   0 , 75 f 1

B. f 2   =   1 , 5 f 1  

C.  f 2   =   2 , 25 f 1  

D.  f 2   =   2 , 5 f 1  

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35.

WAYS TO IMPROVE YOUR MEMORY

A good memory is often seen as something that comes naturally, and a bad memory as something that cannot be changed, but actually (31)_________ is a lot that you can do to improve your memory. We all remember the things we are interested in and forget the ones that bore us. This no doubt explains the reason (32)_________ schoolboys remember football results effortlessly but struggle with dates from their history lessons! Take an active interest in what you want to remember, and focus on it (33)_________ . One way to ‗make’ yourself more interested is to ask questions — the more the better! Physical exercise is also important for your memory, because it increases your heart (34)_________ and sends more oxygen to your brain, and that makes your memory work better. Exercise also reduces stress, which is very bad for the memory. The old saying that ―eating fish makes you brainy‖ may be true after all. Scientists have discovered that the fats (35)_________ in fish like tuna, sardines and salmon — as well as in olive oil — help to improve the memory. Vitamin-rich fruits such as oranges, strawberries and red grapes are all good ‗brain food’, too.

Điền ô số 33

A. hardly

B. slightly

C. consciously

D. easily

Khai triển và rút gọn đa thức P x = 2 x - 1 1000  ta được  P x = a 1000 x 1000 + a 999 x 999 + . . . + a 1 x + a 0

Khẳng định nào sau đây là đúng?

A.  a 1000 + a 999 + . . . + a 1 = 0

B. a 1000 + a 999 + . . . + a 1 = 1

C. a 1000 + a 999 + . . . + a 1 = 2 1000 - 1

D. a 1000 + a 999 + . . . + a 1 = 2 1000

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions

Unlike these fish, which are actually extinct, the coelacanth is a type of fish that was believed to be extinct. However, an unexpected twentieth- century rediscovery of living coelacanths has brought about a reassessment of the status of the prehistoric sea creature that was believed to have long since disappeared from the Earth. From fossil remains of the coelacanth, paleontologists have determined that the coelacanth was in existence around 350 million years ago, during the Paleozoic Era, more than 100 million years before the first dinosaurs arrived on the Earth. The most recent fossilized coelacanths date from around 70 million years ago, near the end of the age of dinosaurs. Because no fossilized remnants of coelacanth was believed to have died out around the same time as the dinosaurs.

The prehistoric coelacanth studied by paleontologists had distinctive characteristics that differentiated it from other fish. It was named for its hollow spine and was known to have been a powerful carnivore because of its many sharp teeth and a special joint in the skull that allowed the ferocious teeth to move in coordination with the lower jaw. It also had a pair of fins with unusual bony and muscular development that allowed the coelacanth to dart around the ocean floor. These fins also enable the coelacanth to search out prey trying to hide on the ocean bottom.

In 1938, a living specimen of the coelacanth was discovered in the catch of a fishing boat off the coast of South Africa, and since then numerous other examples of the coelacanth have been found in the waters of the Indian Ocean. This modern version of the coelacanth is not exactly the same as its prehistoric cousin. Today's coelacanth is larger than its prehistoric relative, measuring up to six feet in length and weighing up to 150 pounds. However, the modern version of the coelacanth still possesses the characteristic hollow spine and distinctive fins with their unusual bony and muscular structure.

This passage is about a fish

A. that is extinct

B. that once was extinct

C. that is becoming extinct

D. that is not extinct