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A free proposition in mathematics usually referred to a question with the nature of giving points. The answer was often very basic or common, but it was not easy to find the correct answer. If he did this question wrong, he might fail the entire exam. Therefore, before the math exam, one must carefully examine the questions, grasp the key points and difficulties of the questions, and not underestimate any of the questions.

There are many stories of comparison. Here are a few examples: The magic of 1:1: In the novel "Battle Through the Heavens", the protagonist Xiao Yan met a mysterious mathematician during his training. The mathematician told him that as long as he could find the equilibrium point of the mathematical concept of "ratio", he could obtain a great improvement in his training. 2:0 Adventures: In the novel " The Master ", the protagonist Yu Wenzhou met a mysterious mathematician in a competition. The mathematician told him that as long as he could find the balance point of the " ratio ", he could win the competition. The art of comparison: In the novel "The Three-Body Problem", the author Liu Cixin once used the concept of comparison to describe the development of human civilization. He believed that ratio was a number with the meaning of balance and proportion. The development of human society was like a constantly moving ratio, which needed to maintain balance and proportion in order to continue to develop. The philosophy of four comparisons: In the novel Douluo Continent, the protagonist Tang San met a mysterious mathematician while cultivating. This mathematician told him that comparisons were not just a mathematical concept, but also a kind of philosophical thinking. It represented the contradiction and balance in human thinking. The concept of ratio in these stories represented a sense of balance and proportion, which could help people maintain their direction and motivation in life and cultivation.

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The answers to the questions in the Famous Book Knowledge Contest are as follows: What are the characteristics of Lin Daiyu's character in Dream of the Red Chamber? Lin Daiyu was one of the main characters in Dream of the Red Chamber. Her character was very complicated. She had a gentle and kind side, a sensitive and fragile side, and a little lofty and arrogant. What was Lin Chong's nickname in Water Margins? Lin Chong was one of the main characters in Water Margins. His nickname was Leopard Head. He was a very brave and talented person who had once led an uprising against the government. What are the three hoops of Sun Wukong in Journey to the West? Sun Wukong was one of the main characters in Journey to the West. His Hoop Incantation was the Golden Hoop Incantation, the Huntian Silk, and the Golden Hoop Staff. These curses could make him stronger and also make him feel pain. What was the character image of Wu Jingzi in The Scholars? Wu Jingzi was one of the main characters in The Scholars. He was a clever and witty character, but also a little cunning and selfish. He was good at reading people's expressions and was also very political. 5. What was the intention of the author of Don Quijote? One of the main characters in Don Quijote was Miguel de Cervantes, whose intention was to describe the adventures of a knight and also to reflect the dark side of Spanish society at that time.

The questions for the Ancient Chinese History Contest were as follows: 1 What is the Qin Dynasty? What was the status of the Qin Dynasty in Chinese history? What political system did the Qin Dynasty implement after unifying China? What was the reason for the fall of the Qin Dynasty? What happened to China's history after the fall of the Qin Dynasty? 6 What is the Han Dynasty? What was the status of the Han Dynasty in Chinese history? What political system did the Han Dynasty implement after unifying China? What was the reason for the demise of the Han Dynasty? What happened to China's history after the fall of the Han Dynasty? To answer these questions, you need to provide some background information, such as specific historical events and people in the Qin and Han Dynasties, as well as the impact of these events and people on Chinese history. If you have any questions, please continue asking.

Here are some questions and answers for the life knowledge competition: 1. Under normal circumstances, how much water was in the egg? (70%) 2. How many levels were there in the food pyramid? (Level 5) 3. What system controls and coordinates human movements? (Central nervous system) 4. What kind of glasses do you use to watch 3D TV? (Polarized glasses) 5. Under normal circumstances, how much water was in a fish? (85%) 6. Under normal circumstances, what is the water content of watermelon? (92%) 7. How long does it take for the earth to rotate once? (One day) 8. Under normal circumstances, how do we transmit the sound we hear? (Air) 9. Under normal circumstances, how much water did vegetables contain? (90%) 10. Put a pencil into a glass of water, and it looks like the pencil is bent. What is this phenomenon? (Refraction phenomenon) 11. White or black, which one reflected light more? (White) 12. What kind of phenomenon could happen to gases? (thermal expansion and contraction) 13. What are the methods to speed up the dissolving process? (Heat, stir, grind) 14. What principle is the human eye based on? (Duration of Vision) 15. Which is bigger, the Earth or the Moon? (Earth) 16. The family raised a cactus. What were the thorns on the cactus? (Leaf) 17. What kind of upward force will the ship receive in the water? (Buoyancy) 18. What kind of glasses are these made of? (Concave lens) 19. What principle is a thermometer made of? (Principle of thermal expansion and contraction) 20. Which household items use magnetism? (computer, bank card, radio, etc.) 21. How do fish breathe? (Gill) 22. What did the Earth's rotation cause? (Day and night) 23. Can the human body conduct electricity? (Yes) 24. What is the use of a concave lens? (Converging Light) 25. Which pole is the carbon rod in the battery? (Positive) 26. Carrots will wither after a long time. What's the reason? (The water in the radish evaporated) 27. What kind of metal are the wires used in household lighting circuits mainly made of? (Copper) 28. However, since it was nutritious, it could not be eaten with seafood. 29. New furniture usually had the presence of Formalide, so it could be absorbed by adding concentrated aqua marina. 30. Sausages, cured meat, and salted vegetables contain nitrogen dioxide, which forms nitrogen dioxide under certain conditions in the human body, which is a cancer-causing substance. 31. Which is larger on Earth, the ocean or the land? (Ocean) 32. Which country is the pyramid located in? (Egypt) 33. What kind of support was not only firm and stable, but also used the least amount of materials? (Triangle) 34. How to prove that a person exhales carbon dioxide gas? (Clear lime water turns turbid) 35. What was a water meter for? (Measuring water usage) 36. What are the main materials of the books we use? (Wood) 37. Why are there spring, summer, autumn, and winter seasons in a year? (Due to the revolution of the earth) 38. Do flowers only bloom under the sun? (No, for example: epiphyllum blooms at night) 39. Which is faster, light or sound? (Light Speed) 40. Which month do peach blossoms bloom every year? (March) 41. What are the three ways of heat transfer? (Conduction, Conduction, Radiation) 42. Which metal is more malleable, copper, aluminum, or magnetite? (aluminum) 43. What is a colorless, odorless, and transparent gas? (Air) 44. Why is the glass tube on the solar panel made black? (Black absorbs heat fast) 45. Is the coil related to magnetism? (The more circles, the stronger the magnetic force) 46. What three states does water exist in nature? (Gas, Liquid, Solid) 47. In 1783, what principle did France use to successfully create a manned hot air balloon? (Principle of rising heat) 48. What are reading glasses made of? (Convex lens) 49. What would become of a wet insulation? (Conductor) 50. What was the use of humans mastering the rhythm of day and night? (Better use of beneficial animals and control of harmful animals through technology) 51. Which metal is harder, copper or iron? (Iron) 52. How much oxygen is in the air? (About 21%) 53. When was the best time to eat fruits? (Eat before meals) 54. Explain how to clean the air filter of the air conditioner. (Take out the clean air filter of the air conditioner, rinse it with clean water or clean the filter with a vacuum cleaner, dry it and put it back into the air conditioner.) 55. Which of the following U.S. presidents was not assassinated? (Franklin D. Franklin) 56. Why don't you wrap the wires with white tape? (Medical white tape is made of cotton cloth, glue, traditional Chinese medicine, or titanium dioxide. It is only for medical use and has no insulation properties.) 57. Which period was the ancient military strategist Cao Cao from? (Eastern Han) 58. How many millimeters was needed to be considered a cannon? (20 millimeters) 59. What should I do first when a fire breaks out in the unit? (Call the 119 fire alarm number in time and inform the fire department head of the unit) 60. What kind of diet is suitable for throat surgery and oral diseases, such as after tooth extraction, tonsiectomy, etc.? (Cold liquid diet) 61. Why not call during a thunderstorm? (It is easy to be struck by lightning when making a phone call during a thunderstorm because the telephone line may attract lightning.) 62. Which of the following metals is not included in the "hardware" that is often mentioned in daily life? (Zine) 63. What should I do after being scalded? (It's not an ice compress, but a cold shower for 20 - 30 minutes before going to the hospital.) 64. Where should I throw the toilet paper after taking a dump? (In the toilet bowl, the paper can now be flushed away by water. Throwing it into the paper basket is a risk of polluting the toilet.) 65. Should I brush my teeth immediately after a meal or later? (The American dental association suggests waiting at least an hour after a meal before brushing your teeth.) 66. Should he put the food in the refrigerator while it was hot or cool it down before putting it in the refrigerator? (Put it in the fridge as soon as you finish eating) 67. Should he eat more pork liver or red dates for his anemias? (People with iron-deficiency leukemia should eat more pork liver because pork liver is rich in iron, and red dates are not high in iron.) 68. Should he drink more bone soup or eat more tofu for calcium replenishment? (Eat more tofu, because the calcium in the bone soup can't be dissolved in the soup. Soy products have more calcium content.) 69. Should he eat bananas or dragon fruit for constipation? (Dragon fruit, because the banana's diet fiber content is not high, and the unripe ones have the astringent effect of ellanic acid) 70. Chili or milk, which one would cause pimples after eating? (Milk. Drinking milk for people who love acne will increase the level of Insulin-like receptor growth factor-1 in the body, causing the corners of the hair bulbs to accumulate.) 71. Should she drink brown sugar water or take painkillers during menstrual cramps? (If the pain is severe, you should take painkillers. Drinking brown sugar water is just psychological comfort.) 72. How to stop a nosebleed? (Lower your head slightly and pinch the nostrils on both sides to stop the bleeding.) 73. What if I get stuck on a fishbone while eating fish? (Cough lightly. If the position is shallow, the fishbone may be pushed out. If you can see the fishbone, use a clean or sterilized small forceps to remove it. If you can't see it, go to the emergency department to see a doctor to remove it.) 74. What should I do if my teeth fall out? (Don't do anything to the teeth you find. Put them directly into normal saline or milk to maintain the biological activity of the teeth. If you have no conditions, you can keep them in your mouth, but don't swallow them. Then go to the hospital to find a stomatologist.)

The following are some second-year math floor application questions and solutions: ** 1. Basic floor calculation ** 1. ** Calculating the number of stairs from the first floor to a certain building ** - For example, Xiao Ming lived on the sixth floor. He walked from the first floor to the sixth floor, and the number of stairs he took was [6 - 1=5]. From the first floor to the second floor, one had to take the stairs to the first floor, the third floor had to take the stairs to the second floor, and so on, and the sixth floor had to take the stairs to the fifth floor. 2. ** Calculating time based on speed and floor ** - For example, it took Xiao Ming 6 minutes to climb from the first floor to the fourth floor. Because the number of stairs from the first floor to the fourth floor is 4 - 1 = 3, the time required to walk one floor is 6 minutes. - If he climbed for another six minutes, because it took two minutes to walk to a floor, he climbed another floor. Then, he was currently on the floor of [4+3 = 7]. 3. ** The number of floors climbed according to the time ** - For example, it took Chenchen two minutes to climb from the first floor to the second floor. She lived on the 10th floor, and the number of stairs from the first floor to the 10th floor was [10 - 1 = 9]. The total time required was 2×9 = 18 minutes. ** 2. Floor relationship when multiple people climb a building ** 1. ** Floor calculation at different speeds ** - For example, Xiao Pu and Xiao Tao climbed the stairs. When Xiao Pu climbed to the third floor, Xiao Tao climbed to the fifth floor. When Xiao Pu climbed to the 3rd floor, the number of stairs he took was [3 - 1 = 2], and when Xiao Tao climbed to the 5th floor, the number of stairs he took was [5 - 1 = 4]. This meant that Little Tao's speed was a few times faster than Little Pu's. - When Xiao Pu climbed to the 9th floor, the number of stairs he took was [9 - 1 = 8], so the number of stairs Xiao Tao took was [8×2 = 16], and the floor Xiao Tao was on was [16+1 = 17]. 2. ** Speed Multipliers and Floor Relationship ** - For example, the elder brother's climbing speed was twice that of the younger brother. When the younger brother climbed to the 7th floor, the number of stairs that the younger brother took was [7 - 1 = 6], the number of stairs that the elder brother took was [6×2 = 12], and the elder brother's floor was [12 + 1=13]. ** 3. Calculating the time to continue climbing the stairs in the middle ** 1. ** Calculating the time to continue climbing to a certain floor after climbing to the halfway floor ** - For example, it took Xiao Qi 6 minutes to climb from the ground floor to the fourth floor, and the number of stairs from the ground floor to the fourth floor was [4 - 1 = 3], so the time needed to walk one floor was [6 div3 = 2] minutes. - If Xiao Qi wanted to climb from the 4th floor to the 13th floor, the number of stairs he needed to take was [13 - 4 = 9], so the time he needed was [2×9 = 18] minutes. 2. ** Calculating the time to climb to another floor after climbing to a certain floor ** - For example, it took Xiao Qi 8 minutes to climb from the ground floor to the 5th floor. The number of stairs from the ground floor to the 5th floor was [5 - 1 = 4], and the time needed to walk one floor was [8 div4 = 2] minutes. - The number of stairs needed to climb from the 5th floor to the 10th floor was [10 - 5 = 5], and the remaining time required was [2×5 = 10] minutes. While waiting for the TV series, you can also click on the link below to read the classic original work of "Dafeng Nightwatchman"!

Senior Beibei has compiled the "Mathematics (Real Questions)2019 National College Entrance Examination Mathematics Test Paper Collection with Analysis". You can click on the avatar and follow it to receive the complete electronic version for free. There are also 2019 National College Entrance Examination Real Questions and answers (Mathematics + Mathematics). While waiting for the TV series, you can also click on the link below to read the classic original work of "Dafeng Nightwatchman"!