Trong không gian  cho đường thẳng  và mặt phẳng . Đường thẳng nằm trong  đồng thời cắt và vuông góc với  có phương trình là:  

Trong không gian với hệ tọa độ , viết phương trình đường vuông góc chung của hai đường thẳng và .  

Trong không gian với hệ tọa độ Oxyz cho điểm và hai đường thẳng và . Phương trình đường thẳng d qua A vuông góc với cả d1 và d2 là:           

Trong không gian hệ tọa độ cho điểm và phương trình của đường thẳng . Viết phương trình đường thẳng đối xứng với qua .

Trong không gian Oxyz, cho đường thẳng . Gọi là đường thẳng đi qua điểm và có vectơ chỉ phương . Đường phân giác của góc nhọn tạo bởi d và có phương trình là ?

Trong không gian với hệ tọa độ cho đường thẳng Điểm nào dưới đây không thuộc

Trong không gian với hệ tọa độ  cho mặt phẳng  và đường thẳng . Hình chiếu của  trên  có phương trình là  

Vectơ nào sau đây là một vectơ chỉ phương của đường thẳng  

Trong không gian  cho đường thẳng  và mặt phẳng . Đường thẳng nằm trong  đồng thời cắt và vuông góc với  có phương trình là:  

Trong không gian với hệ tọa độ , cho hình lập phương  có tọa độ các đỉnh , , , . Đường thẳng  song song với , cắt cả hai đường thẳng  và có phương trình là:

Trong không gian Oxyz, cho điểm và hai đường thẳng và . Gọi là đường thẳng đi qua điểm , cắt đường thẳng và vuông góc với đường thẳng . Điểm đi qua của đường thẳng là điểm

Phương trình chính tắc của đường thẳng đi qua điểm  và vuông góc với  là:         

Trong không gian với hệ tọa độ Oxyz, cho 3 điểm , , với , , là các số thực thay đổi sao cho  là trực tâm của tam giác . Tính

Trong không gian phương trình đường thẳng đi qua gốc tọa độ và nhận véc tơ là véc tơ chỉ phương là:    

Trong không gian , phương trình nào dưới đây là phương trình đường thẳng đi qua điểm và vuông góc với mặt phẳng .

Trong không gian Oxyz, cho hai đường thẳng  và . Tìm tất cả giá trị thức của m để .

Trong không gian với hệ tọa độ , cho tam giác  có . Viết phương trình đường trung tuyến  của tam giác .  

Trong không gian với hệ tọa độ , cho hai điểm , . Viết phương trình đường thẳng .  

Trong không gian , điểm nào dưới đây thuộc đường thằng .  

Trong không gian với hệ trục tọa độ Oxyz, cho hai đường thẳng và . Số đường thẳng đi qua và tạo với góc là:         

Trong không gian Oxyz, cho đường thẳng  và mặt phẳng . Đường thẳng nằm trong mặt phẳng đồng thời cắt và vuông góc với có phương trình là:

Biết rằng khi khai triển nhị thức Newton   thì , , lập thành cấp số cộng. Hỏi trong khai triển có bao nhiêu số hạng mà lũy thừa của là một số nguyên.         

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 41: Where in the passage does the author explain where colloquial language and slang are most commonly used?         

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_____