Trong không gian $Oxyz$ , viết phương trình mặt phẳng $(P)$ chứa đường thẳng $d:\frac{x-1}{1}=\frac{y+1}{2}=\frac{z-1}{-1}$ và đi qua điểm $A\text{'}(0;2;2).$ .

Trong không gian Oxyz, phương trình của mặt phẳng đi qua điểm $O\left(0;0;0\right)$ và vuông góc với đường thẳng $d:\frac{x}{1}=\frac{y}{1}=\frac{z+1}{-1}$ 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:

It is hard to think of a world without gas or electricity. Both are commonly used for lighting and heating today. We now can instantly flick a lighter or strike a match to make a flame. But it was not long ago that there were no such things as matches or lighters. To make fire, it was necessary to strike a piece of iron on flint for sparks to ignite some tinder. If the tinder was damp, or the flint old, you had to borrow some fire from a neighbor. We do not know exactly when or how people first used fire. Perhaps, many ages ago, they found that sticks would burn if they were dropped into some hole where melted lava from a volcano lay boiling. They brought the lighted sticks back to make their fire in a cave. Or, they may have seen trees catch fire through being struck by lightning, and used the trees to start their own fires. Gradually people learned they could start a fire without traveling far to find flames. They rubbed two pieces of wood together. This method was used for thousands of years. When people became used to making fires with which to cook food and stay warm at night, they found that certain resins or gums from trees burnt longer and brighter. They melted resins and dipped branches in the liquid to make torches that lit their homes at night. Iron stands in which torches used to be fixed can still be seen in old buildings of Europe. There was no lighting in city streets until gas lamps, and then electric lamps were installed. Boys ran about London at night carrying torches of burning material. They were called torch boys, or link boys, and earned a living by guiding visitors to friends’ houses at night. For centuries homes were lit by candles until oil was found. Even then, oil lamps were no more effective than a cluster of candles. We read about the splendors and marvels of ancient palaces and castles, but we forget that they must have been gloomy and murky places at night.  

Question: The word “gloomy” in the passage is closest in meaning to         

Công thức tính số tổ hợp 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:

It is hard to think of a world without gas or electricity. Both are commonly used for lighting and heating today. We now can instantly flick a lighter or strike a match to make a flame. But it was not long ago that there were no such things as matches or lighters. To make fire, it was necessary to strike a piece of iron on flint for sparks to ignite some tinder. If the tinder was damp, or the flint old, you had to borrow some fire from a neighbor. We do not know exactly when or how people first used fire. Perhaps, many ages ago, they found that sticks would burn if they were dropped into some hole where melted lava from a volcano lay boiling. They brought the lighted sticks back to make their fire in a cave. Or, they may have seen trees catch fire through being struck by lightning, and used the trees to start their own fires. Gradually people learned they could start a fire without traveling far to find flames. They rubbed two pieces of wood together. This method was used for thousands of years. When people became used to making fires with which to cook food and stay warm at night, they found that certain resins or gums from trees burnt longer and brighter. They melted resins and dipped branches in the liquid to make torches that lit their homes at night. Iron stands in which torches used to be fixed can still be seen in old buildings of Europe. There was no lighting in city streets until gas lamps, and then electric lamps were installed. Boys ran about London at night carrying torches of burning material. They were called torch boys, or link boys, and earned a living by guiding visitors to friends' houses at night. For centuries homes were lit by candles until oil was found. Even then, oil lamps were no more effective than a cluster of candles. We read about the splendors and marvels of ancient palaces and castles, but we forget that they must have been gloomy and murky places at night.  

Question: What form of street lighting was used in London when link boys used to work there?         

Một hộp có 6 bi xanh, 5 bi đỏ, 4 bi vàng. Chọn ngẫu nhiên 5 bi sao cho có đủ ba màu. Số cách chọn 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:

It is hard to think of a world without gas or electricity. Both are commonly used for lighting and heating today. We now can instantly flick a lighter or strike a match to make a flame. But it was not long ago that there were no such things as matches or lighters. To make fire, it was necessary to strike a piece of iron on flint for sparks to ignite some tinder. If the tinder was damp, or the flint old, you had to borrow some fire from a neighbor. We do not know exactly when or how people first used fire. Perhaps, many ages ago, they found that sticks would burn if they were dropped into some hole where melted lava from a volcano lay boiling. They brought the lighted sticks back to make their fire in a cave. Or, they may have seen trees catch fire through being struck by lightning, and used the trees to start their own fires. Gradually people learned they could start a fire without traveling far to find flames. They rubbed two pieces of wood together. This method was used for thousands of years. When people became used to making fires with which to cook food and stay warm at night, they found that certain resins or gums from trees burnt longer and brighter. They melted resins and dipped branches in the liquid to make torches that lit their homes at night. Iron stands in which torches used to be fixed can still be seen in old buildings of Europe. There was no lighting in city streets until gas lamps, and then electric lamps were installed. Boys ran about London at night carrying torches of burning material. They were called torch boys, or link boys, and earned a living by guiding visitors to friends’ houses at night. For centuries homes were lit by candles until oil was found. Even then, oil lamps were no more effective than a cluster of candles. We read about the splendors and marvels of ancient palaces and castles, but we forget that they must have been gloomy and murky places at night.

Question: According to the passage the first fire used by people was probably obtained ___.             

Một nhóm đoàn viên thanh niên tình nguyện về sinh hoạt tại một xã nông thôn gồm có 21 đoàn viên nam và 15 đoàn viên nữ. Hỏi có bao nhiêu cách phân chia 3 nhóm về 3 ấp để hoạt động sao cho mỗi ấp có 7 đoàn viên nam và 5 đoàn viên nữ?                         

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:

It is hard to think of a world without gas or electricity. Both are commonly used for lighting and heating today. We now can instantly flick a lighter or strike a match to make a flame. But it was not long ago that there were no such things as matches or lighters. To make fire, it was necessary to strike a piece of iron on flint for sparks to ignite some tinder. If the tinder was damp, or the flint old, you had to borrow some fire from a neighbor. We do not know exactly when or how people first used fire. Perhaps, many ages ago, they found that sticks would burn if they were dropped into some hole where melted lava from a volcano lay boiling. They brought the lighted sticks back to make their fire in a cave. Or, they may have seen trees catch fire through being struck by lightning, and used the trees to start their own fires. Gradually people learned they could start a fire without traveling far to find flames. They rubbed two pieces of wood together. This method was used for thousands of years. When people became used to making fires with which to cook food and stay warm at night, they found that certain resins or gums from trees burnt longer and brighter. They melted resins and dipped branches in the liquid to make torches that lit their homes at night. Iron stands in which torches used to be fixed can still be seen in old buildings of Europe. There was no lighting in city streets until gas lamps, and then electric lamps were installed. Boys ran about London at night carrying torches of burning material. They were called torch boys, or link boys, and earned a living by guiding visitors to friends’ houses at night. For centuries homes were lit by candles until oil was found. Even then, oil lamps were no more effective than a cluster of candles. We read about the splendors and marvels of ancient palaces and castles, but we forget that they must have been gloomy and murky places at night.  

Question: It is stated in the passage that torches for lighting were made from ______.         

Tìm biết rằng hệ số của 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:

It is hard to think of a world without gas or electricity. Both are commonly used for lighting and heating today. We now can instantly flick a lighter or strike a match to make a flame. But it was not long ago that there were no such things as matches or lighters. To make fire, it was necessary to strike a piece of iron on flint for sparks to ignite some tinder. If the tinder was damp, or the flint old, you had to borrow some fire from a neighbor. We do not know exactly when or how people first used fire. Perhaps, many ages ago, they found that sticks would burn if they were dropped into some hole where melted lava from a volcano lay boiling. They brought the lighted sticks back to make their fire in a cave. Or, they may have seen trees catch fire through being struck by lightning, and used the trees to start their own fires. Gradually people learned they could start a fire without traveling far to find flames. They rubbed two pieces of wood together. This method was used for thousands of years. When people became used to making fires with which to cook food and stay warm at night, they found that certain resins or gums from trees burnt longer and brighter. They melted resins and dipped branches in the liquid to make torches that lit their homes at night. Iron stands in which torches used to be fixed can still be seen in old buildings of Europe. There was no lighting in city streets until gas lamps, and then electric lamps were installed. Boys ran about London at night carrying torches of burning material. They were called torch boys, or link boys, and earned a living by guiding visitors to friends’ houses at night. For centuries homes were lit by candles until oil was found. Even then, oil lamps were no more effective than a cluster of candles. We read about the splendors and marvels of ancient palaces and castles, but we forget that they must have been gloomy and murky places at night.  

Question: It is mentioned in the passage that before the electric lamp was invented         

Cho biểu thức với , . Tìm số hạng không chứa trong khai triển Niu-tơn của .