Trong không gian , đường thẳng  đi qua điểm nào sau đây?

Trong không gian , đường thẳng đi qua điểm  và vuông góc với mặt phẳng  có phương trình là         

Trong không gian Oxyz, phương trình của đường thẳng đi qua hai điểm $M\left(-1;-1;-2\right)$ và $N\left(0;0;-4\right)$ là

Trong không gian Oxyz, cho đường thẳng . Khi đó vectơ chỉ phương của đường thẳng d có tọa độ là:  

Trong không gian , đường thẳng  đi qua điểm nào sau đây?

Trong không gian với hệ tọa độ Oxyz, viết phương trình đường thẳng d đi qua điểm và song song hai mặt phẳng và

Trong không gian , cho điểm và hai đường thẳng , . Phương trình nào dưới đây là phương trình đường thẳng đi qua điểm , cắt và vuông góc với ?

Cho đường thẳng , mặt phẳng và điểm . Đường thẳng qua A cắt d và song song với mặt phẳng (P) có phương trình:  

Trong không gian với hệ toạ độ Oxyz, cho hai điểm và mặt phẳng Gọi Δ là đường thẳng thay đổi nằm trong mặt phẳng (α), các điểm M,N lần lượt là hình chiếu vuông góc của A,B trên Δ. Biết rằng khi AM = BN thì trung điểm của MN luôn thuộc một đường thẳng cố định. Viết phương trình đường thẳng cố định đó.         

Cho hai điểm và Chọn phát biểu sai :  

Trong không gian với hệ tọa độ Oxyz, cho đường thẳng  Viết phương trình đường thẳng  là hình chiếu của  lên mặt phẳng 

Trong không gian với hệ tọa độ Oxyz , cho đường thẳng . Vectơ nào sau đây là một vectơ chỉ phương của  ?                                 

Trong không gian với hệ tọa độ Oxyz, cho điểm . Gọi lần lượt là hình chiếu vuông góc của M lên các trục . Đường thẳng có véctơ chỉ phương nào dưới đây?         

Trong không gian với hệ tọa độ cho tam giác biết Đường cao của tam giác có vectơ chỉ phương là vectơ nào trong các vectơ sau?

Cho đường thẳng d đi qua và vecto chỉ phương . Phương trình tham số của đường thẳng d là:  

Trong không gian với hệ tọa độ Oxyz , cho đường thẳng và mặt phẳng . Viết phương trình hình chiếu vuông góc của d trên mặt phẳng (P).         

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

Trong không gian , cho mặt phẳng  và hai đường thẳng . Đường thẳng vuông góc mặt phẳng  và cắt cả hai đường thẳng  có phương trình là  

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

Cho đường thẳng đi qua điểm và vuông góc với mặt phẳng có phương trình chính tắc là:

Trong không gian với hệ tọa độ Oxyz, viết phương trình đường thẳng d đi qua điểm  và song song hai mặt phẳng  và  

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

Trong không gian với hệ tọa độ Oxyz , cho điểm M(1;2;3). Gọi  lần lượt là hình chiếu vuông góc của M trên các trục Ox, Oy. Vecto nào dưới đây là một vecto chỉ phương của đường thẳng ?  

Tìm vecto chỉ phương của đường thẳng    .          

Trong không gian $Oxyz,$ cho hai điểm $M\left(1;0;1\right)$ và $N\left(3;2;-1\right).$ Đường thẳng $MN$ có phương trình tham số là

Trong không gian với hệ toạ độ Oxyz, cho ba điểm Phương trình đường thẳng qua A và song song với BC là:         

Trong không gian với hệ tọa độ , cho điểm và đường thẳng có phương trình . Phương trình đường thẳng  đi qua điểm , cắt và vuông góc với đường thẳng là:

Cho đường thẳng  và mặt phẳng.  Viết phương trình đường thẳng nằm trong sao cho cắt và vuông góc với đường thẳng.  

Trong không gian với hệ trục tọa độ cho , . Phương trình đường thẳng qua hai điểm ,  là  

Trong không gian với hệ toạ độ Oxyz, cho ba điểm Phương trình đường thẳng qua A và song song với BC 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 from 34 to 40:

As computers have become powerful tools for rapid and economic of production of picture, computer graphics has emerged as one of the most rapidly growing fields in computers scienee. It is used routinely in such diverse areas as business, industry, government, research, training, and madiecine. One of of the initial uses of computer graphics and ultimately its greatest use, been as an aid to design, generally referred to as computer–aided degign (CAD). One of its greatest advantages is that designers can see how an object will lock after construction and make changes freely and much more quickly than with hands drafting. For three-dimensional rendering of machine parts, engineers rely heavily on CAD. Automobile, spacecraft, aerospace, and ship designers use CAD terluaiques to design vehicles and test their pertomance. Building designs are also created with computer graphics systems. Architect can design a building layout create a three-dimersional model, and even go for simulated “walk” through the rooms or around the outside of the building. Business graphics is another rapidly growing are of computer graphics, where it is to create graphs, charts, and cost models summarize financial, statistical, msthematieal, scientific, and economic data. As an education aid, computer also has creative and commencial art applications, where it is used in advertissing, publishing and film productions, particulurly for computer animation, which is achieved by a sequential process.  

Question 36: According to the passage, engineers use CAD for ..........................         

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 from 34 to 40:

As computers have become powerful tools for rapid and economic of production of picture, computer graphics has emerged as one of the most rapidly growing fields in computers scienee. It is used routinely in such diverse areas as business, industry, government, research, training, and madiecine. One of of the initial uses of computer graphics and ultimately its greatest use, been as an aid to design, generally referred to as computer–aided degign (CAD). One of its greatest advantages is that designers can see how an object will lock after construction and make changes freely and much more quickly than with hands drafting. For three-dimensional rendering of machine parts, engineers rely heavily on CAD. Automobile, spacecraft, aerospace, and ship designers use CAD terluaiques to design vehicles and test their pertomance. Building designs are also created with computer graphics systems. Architect can design a building layout create a three-dimersional model, and even go for simulated “walk” through the rooms or around the outside of the building. Business graphics is another rapidly growing are of computer graphics, where it is to create graphs, charts, and cost models summarize financial, statistical, msthematieal, scientific, and economic data. As an education aid, computer also has creative and commencial art applications, where it is used in advertissing, publishing and film productions, particulurly for computer animation, which is achieved by a sequential process.  

Question 37: Which of the following is NOT mentioned as a use of computer graphic in business?         

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 from 41 to 48:

Another critical factor that plays a part in susceptibility to colds is age. A study done by the University of Michigan School of Public Health revealed particulars that seem to hold true for the general population. Infants are the most cold-ridden group, averaging more than six colds in their first year. Boys have more colds than girls up to age three. After the age of three, girls are more susceptible than boy's, and teenege girls average three colds a year to boy’s two. The general incidence of continues to decline into maturity. Elderly people who are in good health have as few as one or two colds annually. One exception is founds among people in the twentics, especially women, who show a rise in cold infections, because people in this age group are most likely to have young children. Adults who delay having children until thirties forties experience the same sudden increase in cold infections. The study also found that economics play an important role. As income increases, the frequency at which are reported in the family decreases. Families with the lowest income suffer about a third more colds than families at the lower end. Lower income generally forces people to live in more cramped quarters than those typically occupied by wealthier by wealthier people, and crowding increses the opportunities for the cold virus totravel from person to person. Low income may also adversely influence diet. The degree to which poor nutrition affects susceptibility to colds is not yet clearly established, but an inadequate diet is suspected of lowering resistance generally. (source: TOEFL reading)  

Question 44: There is information in the second paragraph of the passage to support which of the following conclusions?         

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 from 41 to 48:

Another critical factor that plays a part in susceptibility to colds is age. A study done by the University of Michigan School of Public Health revealed particulars that seem to hold true for the general population. Infants are the most cold-ridden group, averaging more than six colds in their first year. Boys have more colds than girls up to age three. After the age of three, girls are more susceptible than boy's, and teenege girls average three colds a year to boy’s two. The general incidence of continues to decline into maturity. Elderly people who are in good health have as few as one or two colds annually. One exception is founds among people in the twentics, especially women, who show a rise in cold infections, because people in this age group are most likely to have young children. Adults who delay having children until thirties forties experience the same sudden increase in cold infections. The study also found that economics play an important role. As income increases, the frequency at which are reported in the family decreases. Families with the lowest income suffer about a third more colds than families at the lower end. Lower income generally forces people to live in more cramped quarters than those typically occupied by wealthier by wealthier people, and crowding increses the opportunities for the cold virus totravel from person to person. Low income may also adversely influence diet. The degree to which poor nutrition affects susceptibility to colds is not yet clearly established, but an inadequate diet is suspected of lowering resistance generally. (source: TOEFL reading)  

Question 45: The phrase “in this age group” refers to______  

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:

Although management principles have been implemented since ancient times, most management scholars trace the beginning of modern management thought back to the early 1900s, beginning with the pioneering work of Frederick Taylor (1856-1915). Taylor was the first person to study work scientifically. He is most famous for introducing techniques of time and motion study, differential piece rate systems, and for systemtically specializing the work of operating employees and managers. Along with other pioneers such as Frank and Lillian Gilbreth, Taylor set the stage, labeling his philosophy and methods “scientific management”. At that time, his philosophy, which was concerned with productivity, but which was often misinterpreted as promoting worker interests at the expense of management, was in marked contrast to the prevailing industrial norms of worker exploitation. The time and motion study concepts were popularized by Frank and Lillian Gilbreth. The Gilbreths had 12 children. By analyzing his children’s dishwashing and bed making chores, this pioneer efficiency expert, Frank Gilbreth, hit on principles whereby workers could eliminate waste motion. He was memorialized by two of his children in their 1949 book called “Cheaper by the Dozen”. The Gilbreth methods included using stop watches to time worker movements and special tools (cameras and special clocks) to monitor and study worker performance, and also involved identification of “therbligs” (Gilbreth spelled backwards) - basic motions used in production jobs. Many of these motions and accompanying times have been used to determine how long it should take a skilled worker to perform a given job. In this way an industrial engineer can get a handle on the approximate time it should take to produce a product or provide a service. However, use of work analysis in this way is unlikely to lead to useful results unless all five work dimensions are considered, physical, psychological, social, cultural, and power.

Question: Where in the passage does the author comment that the principles of scientific management were often misunderstood?         

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:

Although management principles have been implemented since ancient times, most management scholars trace the beginning of modern management thought back to the early 1900s, beginning with the pioneering work of Frederick Taylor (1856-1915). Taylor was the first person to study work scientifically. He is most famous for introducing techniques of time and motion study, differential piece rate systems, and for systemtically specializing the work of operating employees and managers. Along with other pioneers such as Frank and Lillian Gilbreth, Taylor set the stage, labeling his philosophy and methods “scientific management”. At that time, his philosophy, which was concerned with productivity, but which was often misinterpreted as promoting worker interests at the expense of management, was in marked contrast to the prevailing industrial norms of worker exploitation. The time and motion study concepts were popularized by Frank and Lillian Gilbreth. The Gilbreths had 12 children. By analyzing his children’s dishwashing and bed making chores, this pioneer efficiency expert, Frank Gilbreth, hit on principles whereby workers could eliminate waste motion. He was memorialized by two of his children in their 1949 book called “Cheaper by the Dozen”. The Gilbreth methods included using stop watches to time worker movements and special tools (cameras and special clocks) to monitor and study worker performance, and also involved identification of “therbligs” (Gilbreth spelled backwards) - basic motions used in production jobs. Many of these motions and accompanying times have been used to determine how long it should take a skilled worker to perform a given job. In this way an industrial engineer can get a handle on the approximate time it should take to produce a product or provide a service. However, use of work analysis in this way is unlikely to lead to useful results unless all five work dimensions are considered, physical, psychological, social, cultural, and power.

Question: According to the passage, the time it takes a skilled worker to perform the motion of a given job can be measured by using ________.         

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:

A survey is a study, generally in the form of an interview or a questionnaire, which provides information concerning how people think and act. In the United States, the best-known surveys are the Gallup poll and the Harris poll. As anyone who watches the news during presidential campaigns knows, these polls have become an important part of political life in the United States. North Americans are familiar with the many “person on the street” interviews on local television news shows. While such interviews can be highly entertaining, they are not necessarily an accurate indication of public opinion. First, they reflect the opinions of only those people who appear at a certain location. Thus, such samples can be biased in favor of commuters, middle-class shoppers, or factory workers, depending on which area the new people select. Second, television interviews tend to attract outgoing people who are willing to appear on the air, while they frighten away others who may feel intimidated by a camera. A survey must be based on a precise, representative sampling if it is to genuinely reflect a broad range of the population. In preparing to conduct a survey, sociologists must exercise great care in the wording of questions. An effective survey question must be simple and clear enough for people to understand it. It must also be specific enough so that there are no problems in interpreting the results. Even questions that are less structured must be carefully phrased in order to elicit the type of information desired. Surveys can be indispensable sources of information, but only if the sampling is done properly and the questions are worded accurately. There are two main forms of surveys: the interview and the questionnaire. Each of these forms of survey research has its advantages. An interviewer can obtain a high response rate because people find it more difficult to turn down a personal request for an interview than to throw away a written questionnaire. In addition, an interviewer can go beyond written questions and probe for a subject’s underlying feelings and reasons. However, questionnaires have the advantage of being cheaper and more consistent. 

Question: According to the passage, the main disadvantage of person-on-the-street interviews is that they ________.         

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:

Although management principles have been implemented since ancient times, most management scholars trace the beginning of modern management thought back to the early 1900s, beginning with the pioneering work of Frederick Taylor (1856-1915). Taylor was the first person to study work scientifically. He is most famous for introducing techniques of time and motion study, differential piece rate systems, and for systemtically specializing the work of operating employees and managers. Along with other pioneers such as Frank and Lillian Gilbreth, Taylor set the stage, labeling his philosophy and methods “scientific management”. At that time, his philosophy, which was concerned with productivity, but which was often misinterpreted as promoting worker interests at the expense of management, was in marked contrast to the prevailing industrial norms of worker exploitation. The time and motion study concepts were popularized by Frank and Lillian Gilbreth. The Gilbreths had 12 children. By analyzing his children’s dishwashing and bed making chores, this pioneer efficiency expert, Frank Gilbreth, hit on principles whereby workers could eliminate waste motion. He was memorialized by two of his children in their 1949 book called “Cheaper by the Dozen”. The Gilbreth methods included using stop watches to time worker movements and special tools (cameras and special clocks) to monitor and study worker performance, and also involved identification of “therbligs” (Gilbreth spelled backwards) - basic motions used in production jobs. Many of these motions and accompanying times have been used to determine how long it should take a skilled worker to perform a given job. In this way an industrial engineer can get a handle on the approximate time it should take to produce a product or provide a service. However, use of work analysis in this way is unlikely to lead to useful results unless all five work dimensions are considered, physical, psychological, social, cultural, and power.

Question: All of the following are true except ________.         

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:

Although management principles have been implemented since ancient times, most management scholars trace the beginning of modern management thought back to the early 1900s, beginning with the pioneering work of Frederick Taylor (1856-1915). Taylor was the first person to study work scientifically. He is most famous for introducing techniques of time and motion study, differential piece rate systems, and for systemtically specializing the work of operating employees and managers. Along with other pioneers such as Frank and Lillian Gilbreth, Taylor set the stage, labeling his philosophy and methods “scientific management”. At that time, his philosophy, which was concerned with productivity, but which was often misinterpreted as promoting worker interests at the expense of management, was in marked contrast to the prevailing industrial norms of worker exploitation. The time and motion study concepts were popularized by Frank and Lillian Gilbreth. The Gilbreths had 12 children. By analyzing his children’s dishwashing and bed making chores, this pioneer efficiency expert, Frank Gilbreth, hit on principles whereby workers could eliminate waste motion. He was memorialized by two of his children in their 1949 book called “Cheaper by the Dozen”. The Gilbreth methods included using stop watches to time worker movements and special tools (cameras and special clocks) to monitor and study worker performance, and also involved identification of “therbligs” (Gilbreth spelled backwards) - basic motions used in production jobs. Many of these motions and accompanying times have been used to determine how long it should take a skilled worker to perform a given job. In this way an industrial engineer can get a handle on the approximate time it should take to produce a product or provide a service. However, use of work analysis in this way is unlikely to lead to useful results unless all five work dimensions are considered, physical, psychological, social, cultural, and power.

Question: It can be inferred from the first paragraph that ________.

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:

Although management principles have been implemented since ancient times, most management scholars trace the beginning of modern management thought back to the early 1900s, beginning with the pioneering work of Frederick Taylor (1856-1915). Taylor was the first person to study work scientifically. He is most famous for introducing techniques of time and motion study, differential piece rate systems, and for systemtically specializing the work of operating employees and managers. Along with other pioneers such as Frank and Lillian Gilbreth, Taylor set the stage, labeling his philosophy and methods “scientific management”. At that time, his philosophy, which was concerned with productivity, but which was often misinterpreted as promoting worker interests at the expense of management, was in marked contrast to the prevailing industrial norms of worker exploitation. The time and motion study concepts were popularized by Frank and Lillian Gilbreth. The Gilbreths had 12 children. By analyzing his children’s dishwashing and bed making chores, this pioneer efficiency expert, Frank Gilbreth, hit on principles whereby workers could eliminate waste motion. He was memorialized by two of his children in their 1949 book called “Cheaper by the Dozen”. The Gilbreth methods included using stop watches to time worker movements and special tools (cameras and special clocks) to monitor and study worker performance, and also involved identification of “therbligs” (Gilbreth spelled backwards) - basic motions used in production jobs. Many of these motions and accompanying times have been used to determine how long it should take a skilled worker to perform a given job. In this way an industrial engineer can get a handle on the approximate time it should take to produce a product or provide a service. However, use of work analysis in this way is unlikely to lead to useful results unless all five work dimensions are considered, physical, psychological, social, cultural, and power.

Question: What is the passage primarily about?