Trong không gian , cho ba điểm ,  và . Phương trình mặt phẳng  là  

Chia sẻ

Một số câu hỏi khác cùng bài thi.

• Trong không gian với hệ tọa độ , một vectơ pháp tuyến của mặt phẳng là.

• Trong không gian với hệ tọa độ $Oxyz$ , cho hai điểm $A\left(-2;3;-1\right)$ , $B\left(1;-2;-3\right)$ và mặt phẳng $\left(P\right):3x-2y+z+9=0$ . Mặt phẳng $\left(\alpha \right)$ chứa hai điểm $A$ , $B$ và vuông góc với $\left(P\right)$ có phương trình là
  

• Trong không gian với hệ tọa độ , cho điểm  và hai mặt phẳng , . Viết phương trình mặt phẳng  đi qua  đồng thời vuông góc với hai mặt phẳng  và .

• Trong không gian Oxyz cho mặt phẳng và hai điểm . Phương trình mặt phẳng (Q) qua A, B và vuông góc với mặt phẳng (P) là:         

• Với . Phương trình mặt phẳng qua A, B, C là :         

• Trong không gian với hệ tọa độ  cho mặt phẳng : . Điểm nào dưới đây thuộc ?         

• Trong không gian Oxyz, cho hai điểm $A\left(4;0;1\right)$ và $B\left(-2;2;3\right).$ Mặt phẳng trung trực của đoạn thẳng AB có phương trình là
  
•  Trong không gian , cho điểm . Mặt phẳng  đi qua  và chứa trục  có phương trình là

• (Mã đề 104 BGD&ĐT NĂM 2018) Trong không gian $Oxyz,$ Cho hai điểm $A\left(5;-4;2\right)$ và $B\left(1;2;4\right).$ Mặt phẳng đi qua $A$ và vuông góc với đường thẳng $AB$ có phương trình là

• Trong không gian với hệ tọa độ , viết phương trình mặt phẳng  đi qua  và  đồng thời cắt các tia  ,  lần lượt tại hai điểm  ( không trùng với gốc tọa độ  ) sao cho  

• Trong không gian , mặt phẳng  đi qua điểm nào dưới đây?  

• Trong không gian , cho hai điểm và . Mặt phẳng qua và vuông góc với có phương trình là  

• Trong không gian với hệ tọa độ , mặt phẳng  nhận vectơ nào sau đây làm vectơ pháp tuyến.

• Trong không gian với hệ toạ độ Oxyz, có bao nhiêu mặt phẳng qua và cắt các trục toạ độ lần lượt tại sao cho         

• Trong không gian $Oxyz$ , mặt phẳng $\left(Oxy\right)$ có phương trình là
  

• Trong không gian cho điểm , , . Viết phương trình mặt phẳng .  

• Trong không gian với hệ tọa độ Oxyz, cho đường thẳng , gọi d2 là giao tuyến của hai mặt phẳng và . Viết phương trình mặt phẳng chứa d1 và song song với d2.

• Trong không gian với hệ tọa độ Oxyz, viết phương trình mặt phẳng song song và cách đều hai đường thẳng và

• Trong không gian với hệ tọa độ  cho hai điểm  Phương trình nào dưới đây là phương trình của mặt phẳng trung trực của đoạn  
• Trong không gian với hệ tọa độ , phương trình mặt phẳng (P) qua song song (Q)
  

• Trong không gian , cho ba điểm ,  và . Phương trình mặt phẳng  là  

• Trong không gian cho đường thẳng và đường thẳng . Viết phương trình mặt phẳng đi qua và tạo với đường thẳng một góc lớn nhất.

• Cho . Phương trình mặt phẳng trung trực của đoạn AB là :                                      

• Trong không gian với hệ trục tọa độ , gọi  là mặt phẳng chứa trục  và vuông góc với mặt phẳng . Phương trình mặt phẳng  là:

• Trong không gian , cho bốn điểm , ,  và . Gọi  là mặt phẳng đi qua  và tổng khoảng cách từ , ,  đến  lớn nhất, đồng thời ba điểm , ,  nằm về cùng phía so với . Trong các điểm sau, điểm nào thuộc mặt phẳng .

Một số câu hỏi khác có thể bạn quan tâm.

• 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 36 to 40:

  Sugar tastes sweet because of thousands of receptors on the tongue which connect the substance with the brain. The taste of sweetness is universally accepted as the most pleasurable known, although it is a fructose. Abundant is the most common occurring sugar, (36)______ of which include fruit and honey. Sucrose, which supplies glucose to the body, is (37)______ from the sugar cane plant, and white sugar (pure sucrose) is used by food technologists to (38)______ sweetness in other substances. Approximately a dozen artificial sweeteners have been discovered; one of the earliest was Sorbitol from France. Manufacturers add large amounts of sugar to foodstuffs but never more than the (39)______ required to produce the optimum pleasurable taste. Surprisingly, this amount is similar for different people and in different cultures. No one has (40)______ discovered a way to predict whether a substance will taste sweet, and it was by chance alone that all the man-made chemical sweeteners were found to be sweet.

  Question 37:

• 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 36 to 40:

  Sugar tastes sweet because of thousands of receptors on the tongue which connect the substance with the brain. The taste of sweetness is universally accepted as the most pleasurable known, although it is a fructose. Abundant is the most common occurring sugar, (36)______ of which include fruit and honey. Sucrose, which supplies glucose to the body, is (37)______ from the sugar cane plant, and white sugar (pure sucrose) is used by food technologists to (38)______ sweetness in other substances. Approximately a dozen artificial sweeteners have been discovered; one of the earliest was Sorbitol from France. Manufacturers add large amounts of sugar to foodstuffs but never more than the (39)______ required to produce the optimum pleasurable taste. Surprisingly, this amount is similar for different people and in different cultures. No one has (40)______ discovered a way to predict whether a substance will taste sweet, and it was by chance alone that all the man-made chemical sweeteners were found to be sweet.

  Question 36:

• 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 17 to 21:

  During the last 400 years, most scientists have (17) ________on mathematics in their development of their inventions or discoveries. However, one great British scientist, Michael Faraday, did not make (18)__________of mathematics. Faraday, the son of a poor blacksmith, was born in London in 1791 and had no (19) ______beyond reading and writing. In 1812 Faraday was hired as a bottle washer by the great chemist Humphry Davy. Later, Faraday became a greater scientist than Davy, making the last years of Davy's life embittered (20) __________ jealousy. Faraday made the first (21)__________motor in 1821, a device that used electricity to produce movement. 

  Question 20:

• 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 17 to 21:

  During the last 400 years, most scientists have (17) ________on mathematics in their development of their inventions or discoveries. However, one great British scientist, Michael Faraday, did not make (18)__________of mathematics. Faraday, the son of a poor blacksmith, was born in London in 1791 and had no (19) ______beyond reading and writing. In 1812 Faraday was hired as a bottle washer by the great chemist Humphry Davy. Later, Faraday became a greater scientist than Davy, making the last years of Davy's life embittered (20) __________ jealousy. Faraday made the first (21)__________motor in 1821, a device that used electricity to produce movement. 

  Question 21:

• 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 17 to 21:

  During the last 400 years, most scientists have (17) ________on mathematics in their development of their inventions or discoveries. However, one great British scientist, Michael Faraday, did not make (18)__________of mathematics. Faraday, the son of a poor blacksmith, was born in London in 1791 and had no (19) ______beyond reading and writing. In 1812 Faraday was hired as a bottle washer by the great chemist Humphry Davy. Later, Faraday became a greater scientist than Davy, making the last years of Davy's life embittered (20) __________ jealousy. Faraday made the first (21)__________motor in 1821, a device that used electricity to produce movement. 

  Question 17:

• 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 17 to 21:

  During the last 400 years, most scientists have (17) ________on mathematics in their development of their inventions or discoveries. However, one great British scientist, Michael Faraday, did not make (18)__________of mathematics. Faraday, the son of a poor blacksmith, was born in London in 1791 and had no (19) ______beyond reading and writing. In 1812 Faraday was hired as a bottle washer by the great chemist Humphry Davy. Later, Faraday became a greater scientist than Davy, making the last years of Davy's life embittered (20) __________ jealousy. Faraday made the first (21)__________motor in 1821, a device that used electricity to produce movement. 

  Question 18:

• 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 17 to 21:

  During the last 400 years, most scientists have (17) ________on mathematics in their development of their inventions or discoveries. However, one great British scientist, Michael Faraday, did not make (18)__________of mathematics. Faraday, the son of a poor blacksmith, was born in London in 1791 and had no (19) ______beyond reading and writing. In 1812 Faraday was hired as a bottle washer by the great chemist Humphry Davy. Later, Faraday became a greater scientist than Davy, making the last years of Davy's life embittered (20) __________ jealousy. Faraday made the first (21)__________motor in 1821, a device that used electricity to produce movement. 

  Question 19:

• 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 18 to 23:

  Nowadays, teenagers have (18)______ more money and expensive possessions than their parents ever did. Articles like radios and bicycles, which cost a fortune (19) _____ decades ago, are now mass-produced and cheap. And items that nobody even dreamed of possessing twenty years ago, such as mobile phones and computers, are now in common places. Teenagers are definitely better off financially. However life is not easy for them. There is much more to worry about than there was in the past. Jobs are not as secure (20)_____ they used to be and teenagers can no (21) _____ be confident that the world will always be peaceful and free of pollution. Teenagers drive their parents crazy (22)_____ many ways. Some of them spray their hair with amazing color, while others wear clothes that shock their parents. They all want (23)_____ own stereos, mobile phones and televisions. But these young people are not really behaving differently from how their parents behaved when they were young.

  Question 18:

• 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 18 to 23:

  Nowadays, teenagers have (18)______ more money and expensive possessions than their parents ever did. Articles like radios and bicycles, which cost a fortune (19) _____ decades ago, are now mass-produced and cheap. And items that nobody even dreamed of possessing twenty years ago, such as mobile phones and computers, are now in common places. Teenagers are definitely better off financially. However life is not easy for them. There is much more to worry about than there was in the past. Jobs are not as secure (20)_____ they used to be and teenagers can no (21) _____ be confident that the world will always be peaceful and free of pollution. Teenagers drive their parents crazy (22)_____ many ways. Some of them spray their hair with amazing color, while others wear clothes that shock their parents. They all want (23)_____ own stereos, mobile phones and televisions. But these young people are not really behaving differently from how their parents behaved when they were young.

  Question 19:

• 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 18 to 23:

  Nowadays, teenagers have (18)______ more money and expensive possessions than their parents ever did. Articles like radios and bicycles, which cost a fortune (19) _____ decades ago, are now mass-produced and cheap. And items that nobody even dreamed of possessing twenty years ago, such as mobile phones and computers, are now in common places. Teenagers are definitely better off financially. However life is not easy for them. There is much more to worry about than there was in the past. Jobs are not as secure (20)_____ they used to be and teenagers can no (21) _____ be confident that the world will always be peaceful and free of pollution. Teenagers drive their parents crazy (22)_____ many ways. Some of them spray their hair with amazing color, while others wear clothes that shock their parents. They all want (23)_____ own stereos, mobile phones and televisions. But these young people are not really behaving differently from how their parents behaved when they were young. 

  Question 22: