Trong không gian  cho mặt cầu  và điểm  Xét các điểm  thuộc  sao cho đường thẳng  tiếp xúc với   luôn thuộc mặt phẳng có phương trình là

Cho điểm  và mặt phẳng . Gọi A’ là điểm đối xứng của A qua (P). Tọa độ điểm A’ là:

Trong không gian với hệ toạ độ Oxyz, cho hai điểm và mặt phẳng Gọi là điểm di động trên mặt phẳng (P) sao cho MA, MB tạo với m.t ph.ng (P) các góc thỏa mãn . Khi biểu thức đạt giá trị nhỏ nhất. Giá trị của biểu thức bằng:         

Trong không gian với hệ tọa độ , cho hai điểm , . Tìm tọa độ điểm thuộc sao chonhỏ nhất ?

Trong không gian Oxyz, cho điểm  và mặt phẳng . Tìm tọa độ điểm A’ đối xứng với điểm A qua mặt phẳng (P).         

Trong không gian với hệ tọa độ Oxyz, cho mặt phẳng , đường thẳng và điểm M(2 ;3 ;1). Gọi A là điểm thuộc đường thẳng d, B là hình chiểu của A trên mặt phẳng (P). Tìm tọa độ điểm A biết tam giác MAB cân tại M.           

Trong không gian Oxyz tập hợp các điểm cách một đoạn 4 là:         

Trong mặt phẳng tọa độ , cho bốn điểm , , , . Gọi là tập hợp tất cả các điểm trong không gian thỏa mãn đẳng thức . Biết rằng là một đường tròn, đường tròn đó có bán kính bằng bao nhiêu?  

Trong không gian , cho mặt cầu và điểm . Xét các điểm  thuộc  sao cho đường thẳng  luôn tiếp xúc với .  luôn thuộc một mặt phẳng cố định có phương trình là  

Trong không gian hệ với hệ tọa độ Oxyz, Cho các điểm  và mặt phẳng . Tìm tọa độ điểm N thuộc đường thẳng AB sao cho MN song song với mặt phẳng (P).

Trong không gian với hệ tọa độ Oxyz, biết rằng tập hợp các điểm sao cho là một hình đa diện. Tính thể tích V của khối đa diện đó.

Tìm tọa độ điểm đối xứng với qua đường thẳng biết      .

Trong không gian với hệ tọa độ , cho đường thẳng hai điểm và . Biết điểmthuộc thì nhỏ nhất .Tìm

Trong không gian với hệ tọa độ Oxyz, cho hai điểm và mặt phẳng . Tìm tọa độ điểm M thuộc mặt phẳng sao cho đạt giá trị nhỏ nhất.

Trong không gian  cho mặt cầu  và điểm  Xét các điểm  thuộc  sao cho đường thẳng  tiếp xúc với   luôn thuộc mặt phẳng có phương trình là

        Tìm điểm M trên Oy cách đều 2 mặt phẳng (P):và . 

Trong không gian với hệ tọa độ Oxyz; cho với a, b, c dương. Biết A, B, C di động trên các tia Ox, Oy, Oz sao cho. Biết rằng khi a, b, c thay đổi thì quỹ tích tâm hình cầu ngoại tiếp tứ diện OABC thuộc mặt phẳng (P) cố định. Tính khoảng cách từ M tới mặt phẳng (P)

Trong không gian với hệ tọa độ Oxyz, cho điểm , tìm tọa độ hình chiếu của điểm M lên đường thẳng .         

Trong không gian với hệ tọa độ , cho ba điểm , , và mặt phẳng . Một mặt phẳng đi qua , vuông góc với và cắt đoạn thẳng tại sao cho . Tọa độ điểm là ?

Tìm tọa độ hình chiếu của lên đường thẳng là:

Gọi là tọa độ giao điểm của đường thẳng với đồ thị hàm số . Hỏi tìm được bao nhiêu điểm phân biệt thỏa điều kiện trên?

Tổng của tất cả các số tự nhiên thỏa mãn là :         

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:

Most languages have several levels of vocabulary that may be used by the same speakers. In English, at least three have been identified and described. Standard usage includes those words and expressions understood, used, and accepted by a majority of the speakers of a language in any situation regardless of the level of formality. As such, these words and expressions are well defined and listed in standard dictionaries. Colloquialisms, on the other hand, are familiar words and idioms that are understood by almost all speakers of a language and used in informal speech or writing, but not considered acceptable for more formal situations. Almost all idiomatic expressions are colloquial language. Slang, however, refers to words and expressions understood by a large number of speakers but not accepted as appropriate formal usage by the majority. Colloquial expressions and even slang may be found in standard dictionaries but will be so identified. Both colloquial usage and slang are more common in speech than in writing. Colloquial speech often passes into standard speech. Some slang also passes into standard speech, but other slang expressions enjoy momentary popularity followed by obscurity. In some cases, the majority never accepts certain slang phrases but nevertheless retains them in their collective memories. Every generation seems to require its own set of words to describe familiar objects and events. It has been pointed out by a number of linguists that three cultural conditions are necessary for the creation of a large body of slang expressions. First, the introduction and acceptance of new objects and situations in the society; second, a diverse population with a large number of subgroups; third, association among the subgroups and the majority population. Finally, it is worth nothing that the terms “standard”, “colloquial”, and “slang” exist only as abstract levels for scholars who study language. Only a tiny number of the speakers of any language will be aware that they are using colloquial or slang expressions. Most speakers of English will, during appropriate situations, select and use all three types of expressioins.

Question 40: Which of the following is the main topic of the passage?         

Cho khai triển Giá trị bằng:         

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:

Most languages have several levels of vocabulary that may be used by the same speakers. In English, at least three have been identified and described. Standard usage includes those words and expressions understood, used, and accepted by a majority of the speakers of a language in any situation regardless of the level of formality. As such, these words and expressions are well defined and listed in standard dictionaries. Colloquialisms, on the other hand, are familiar words and idioms that are understood by almost all speakers of a language and used in informal speech or writing, but not considered acceptable for more formal situations. Almost all idiomatic expressions are colloquial language. Slang, however, refers to words and expressions understood by a large number of speakers but not accepted as appropriate formal usage by the majority. Colloquial expressions and even slang may be found in standard dictionaries but will be so identified. Both colloquial usage and slang are more common in speech than in writing. Colloquial speech often passes into standard speech. Some slang also passes into standard speech, but other slang expressions enjoy momentary popularity followed by obscurity. In some cases, the majority never accepts certain slang phrases but nevertheless retains them in their collective memories. Every generation seems to require its own set of words to describe familiar objects and events. It has been pointed out by a number of linguists that three cultural conditions are necessary for the creation of a large body of slang expressions. First, the introduction and acceptance of new objects and situations in the society; second, a diverse population with a large number of subgroups; third, association among the subgroups and the majority population. Finally, it is worth nothing that the terms “standard”, “colloquial”, and “slang” exist only as abstract levels for scholars who study language. Only a tiny number of the speakers of any language will be aware that they are using colloquial or slang expressions. Most speakers of English will, during appropriate situations, select and use all three types of expressioins.

Question 45: The word “appropriate” is closest in meaning to ........         

Với là số nguyên dương thỏa mãn , hệ số của số hạng chứa trong khai triển bằng?         

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:

Most languages have several levels of vocabulary that may be used by the same speakers. In English, at least three have been identified and described. Standard usage includes those words and expressions understood, used, and accepted by a majority of the speakers of a language in any situation regardless of the level of formality. As such, these words and expressions are well defined and listed in standard dictionaries. Colloquialisms, on the other hand, are familiar words and idioms that are understood by almost all speakers of a language and used in informal speech or writing, but not considered acceptable for more formal situations. Almost all idiomatic expressions are colloquial language. Slang, however, refers to words and expressions understood by a large number of speakers but not accepted as appropriate formal usage by the majority. Colloquial expressions and even slang may be found in standard dictionaries but will be so identified. Both colloquial usage and slang are more common in speech than in writing. Colloquial speech often passes into standard speech. Some slang also passes into standard speech, but other slang expressions enjoy momentary popularity followed by obscurity. In some cases, the majority never accepts certain slang phrases but nevertheless retains them in their collective memories. Every generation seems to require its own set of words to describe familiar objects and events. It has been pointed out by a number of linguists that three cultural conditions are necessary for the creation of a large body of slang expressions. First, the introduction and acceptance of new objects and situations in the society; second, a diverse population with a large number of subgroups; third, association among the subgroups and the majority population. Finally, it is worth nothing that the terms “standard”, “colloquial”, and “slang” exist only as abstract levels for scholars who study language. Only a tiny number of the speakers of any language will be aware that they are using colloquial or slang expressions. Most speakers of English will, during appropriate situations, select and use all three types of expressioins.

Question 44: Which of the following is TRUE of standard usage?         

Hệ số của số hạng chứa trong khai triển của biểu thức (với ) bằng:         

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:

The deepest diving submarine

The Japanese research submarine Shinkai 6500 can dive deeper than any other submarine. On August 11, 1989, it went down to a depth of 6,526 meters beneath the ocean's surface. The submarine is in 935 meters long, about the size of a bus and can take up to three people. It is used for ocean research all over the world.

The most useful television

The Viera is the name of the world's only digital entertainment device that can go underwater. It is made and sold in Japan. You can listen to your favorite music, or even watch a movie, all from the comfort of your bathtub. And the battery lasts over five hours if you're planning to spend a long time bathing. You can even use headphones with it-all you’ll need is to find a pair that is waterproof!

The smartest monitor

The Japanese company EizoNanao has invented a very special computer monitor, called the FlexScan monitor. The FlexScan monitor can stand up to 23 centimeters high, and it can turn almost 180 degrees left or right. It weighs only 4.3kg. What’s more, it can help save electricity. It senses when you have left your computer and turns itself off when you've been gone for more than 40 seconds. When you come back, it knows to turns itself back on!

The smallest motorcycle

A Swedish man named Tom Wiberg built the world’s smallest motorcycle that can be ridden by a person. He calls it the Small Toe. The front wheel is only 1.6 centimeters wide, and the back wheel is 2.2 centimeters wide. The rider sits barely seven centimeters above the ground. In 2003, Wiberg rode his machine for more than ten meters and set a new Guinness World Record for the smallest rideable motorcycle ever built.

Question: The word “barely” in the last paragraph closest in meaning to_____                

Tìm số hạng không chứa trong khai triển nhị thức Newton ,.         

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:

In most of the earliest books for children, illustrations were an afterthought. But in the Caldecott “toy books”, which first appeared in 1878, they were almost as important as the lines of text, and occupied far more space in the book. One can almost read the story from the dramatic action in the pictures. Since then, thousands of successful picture books have been published in the United States and around the world. In the best, the words and illustrations seem to complement each other perfectly. Often a single person is responsible for both writing and illustrating the book. One of the greatest, and certainly one of the most successful, illustrator-authors was Dr. Seuss, whose real name was Theodor Geisel. His first children’s book, And to Think That I Saw It on Mulberry Street, hit the market in 1937, and the world of children’s literature was changed forever. Seuss’s playful drawings were a perfect complement to his engaging stories and unforgettable characters. In 1957, Seuss’s The Cat in the Hat became the first book in Random House’s best-selling series, Beginner Books, written by Seuss and several other authors. These combine outrageous illustrations of people, creatures, and plants, and playful stories written in very simple language. Dr. Seuss is not the only well-known author-illustrator, of course. There is Max Sendak, who wrote and illustrated Where the Wild Things Are, the story of a little boy named Max, who becomes king of the fierce (but funny) creatures that live in the Land of the Wilds Things. Robert McCloskey produced both the richly textured illustrations and delightful story of a family of ducks living in downtown Boston, Make Ways for Ducklings. Some books are produced by a collaborative author artist team. Author Margaret Wise Brown combined with illustrator Clement Hurd to produce two delightful books loved by very young children, Goodnight Moon and The Runaway Bunny. Another example is the husband-and-wife team of writer Audrey Wood and illustrator Don Wood, who were responsible for King Bidgoods in the Bathtub and The Napping House. Wordless and nearly wordless picture books have become popular. With a little help, three and four-year-olds can follow the sequence of events, and they can understand the stories suggested in them. The marvel of books with few or no words is that they allow children and their parents the opportunity to tell and retell the same stories over and over in their own words. One of the most charming examples of a wordless book is Jan Omerod's Sunshine. Barbara Berger’s Grandfather Twilight and David Weisner’s Tuesday are examples of books containing only a few words. U.S. publishers have also drawn on illustrators from other countries whose original, imaginative works have brought their different visions to American children’s books. Among them are Leo Lionni from Italy, Feodor Rojankovsky from Russia, and Taro Yashimi from Japan.

Question: When did illustrations become important in books for children?