Answer to the question of the number of overlapping testsThe number overlap problem in the line test mainly involved the problem of tolerance and rejection, which was divided into two sets and three sets.
** One, Two Assembly Questions **
1. ** Formula *
- The formula of the inclusive and exclusive relationship between the two sets: < A >> A >>
- You can think of a pair of circular pieces of paper, and the area of a pair of circular pieces of paper is equal to the sum of the areas of a pair of circular pieces of paper, minus the area of the circular pieces of paper.
2. ** Answer to an example **
- For example, there are 32 fruit farmers in a certain township, 26 of which have grapefruit trees, 24 of which have orange trees, and 5 of which have neither grapefruit trees nor orange trees. There are x of fruit farmers who have both grapefruit trees and orange trees.
- According to the two-set inclusive and exclusive formula, we can get 32 - 5=26 + 24 - x.
- First, we calculate [32 - 5 = 27],[26+24 = 50], then [x = 26 + 24-27=23].
** Second and Third Assembly Questions **
1. ** Formula *
- < A + B + C - A >< cap B - A >< cap C - B >>< cap C+A >< cap B >>< cap C=>> Total-A number that is not satisfied by any of the three.
- You can think of the three pieces of paper, A, B, and C, as three circular pieces of paper. The area of A, B, and C added together is equal to the sum of the areas of A, B, and C, minus the overlapping parts.
2. ** Key Points to Answer **
- When solving the problem of the acceptance and rejection of the three sets, the key was to accurately identify each set and the intersection relationship between them. Then, according to the conditions given by the question, substitute the corresponding formula for calculation. At the same time, he had to pay attention to whether there were any special circumstances in the question, such as the inclusive relationship between a certain set and other sets, which might affect the specific application of the formula.
When answering the question of overlapping numbers, one had to accurately determine whether it was a two-set or three-set problem, correctly identify the relationship between the sets, and accurately substitute them into the formula for calculation.
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Is repeated oral festering a hereditary disease? What medicine to take to treat it?The cause of oral ulcers was not particularly clear for the time being. The current mainstream view was that it was likely to be related to genetics, immunity, and environmental factors. Some medical workers also believed that it was very likely to be a hereditary disease, but there was no conclusive conclusion.
There was no specific medicine for the treatment of oral ulcers. At this stage, the treatment was basically treating the symptoms but not the root cause. It could only relieve the pain and promote healing through local administration. One could first gargle with a low-concentration solution of potassium Permanganate for more than ten minutes and spit it out. Then, one could apply dyclonin solution on the wound of the sore. Finally, one could apply a membrane made of a surface anesthetic and other local anti-inflammatory drugs on the sore. This would have a more ideal treatment effect. You can also go to the pharmacy or buy a box of Dexamethason Acetic Mouth Patches online. Stick the white surface on the sore and press it for a few seconds. The patch protects the wound. Slowly, the medicine will be absorbed and promote the healing of the sore. You can also give B vitamins and vitamins C to improve your immune system and prevent the relapse of the sore. Use anti-heat and anti-infection drugs to control it. After the sore forms, use drugs that promote healing and formation, such as Kangfuxin Liquid and Jinhoujian, to treat the sore.
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Young novels recommend sweet favorite ancient wordsThe following are some recommendations from Gu Yantian's favorite articles:
- [Zhuo Jiao]: When the new emperor ascended the throne, there was a complicated emotional entanglement between the chief assistant Song Zhuo and the eldest princess Yao Zhen. Song Zhuo overthrew the regent and captured the rebellious kings. He initially wanted to tease Yao Zhen, who had once used him to deceive him, but later on, his feelings for her deepened. Yao Zhen had originally committed herself to him for the sake of her sweetheart, but gradually, she developed a different feeling.
- "The Favorite Concubine's Acting Award": Su Ling was noble in her previous life, but died in the harem due to a family accident. After he was reborn as Qin Yao, he entered the palace again for the sake of his child. When Emperor Xiao Yu saw Qin Yao who looked exactly like Su Ling, he lost his soul.
- " Save Me, Imperial Brother ": Qin Yue was sent to the palace for the sake of the marriage alliance. When she was facing the marriage agreement, she asked Crown Prince Pei Yan for help. Pei Yan hid her in the Eastern Palace as a tactic, but her delicate appearance of calling her " Imperial Brother " broke his restraint and he fell into deep love.
- Princess An Yi chose Shao Mu, a new flower, to be her son-in-law, so Shao Mu could not be an official. After An Yi was indifferent, she went south alone to play and was killed. When Shao Mu re-entered the official career, he found a woman suspected to be An Yi.
- Shen Mingsu brought the marriage contract with Feng Chongyan to find him, who was already a prime minister. There were many stories about him.
- Lychee: Fu Mingsong was summoned to the palace. After the timid Fu Mingsong broke the white jade cup, the moody Emperor Wen Shu held her hand and asked her to compensate him.
- [Like a Peach]: The foreign princess Li Fengming and the Regent of Qi, Xiao Mingche, were engaged in a marriage alliance. Li Fengming was like a peach-shaped delicious sweetheart. Xiao Mingche used all means, but Li Fengming only wanted to fake his death and run away.
- [The Coroner of Ming Dynasty, Little Wuniang]: A young coroner who was proficient in both medicine and poison worked together with the King of Hell Leng, who abandoned literature and practiced martial arts, to solve the case. In the end, King of Hell Leng took out the marriage certificate and let Little Wuniang be in charge.
- "Bright Moon Tibetan Egret": Ming Ying's status was low since childhood. After being drunk at the banquet to recognize his ancestors, he had a night of absurdity with his brother Fu Huaiyan.
- "Wrong Oriole Entering My Arms": Lin Zhique, the daughter of the Lin family, and Pei Yanzhao, the eldest son of the Marquis 'Mansion, were engaged before their birth. After the Lin family changed, the Pei family kept their promise to take her into the mansion.
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Are there any side effects of the health care products sold in regular drugstores?Health supplements sold in regular drugstores might also have side effects.
Health supplements contained nutrients, vitamins, minerals, probiotic bacteria, and other ingredients that could improve the body's immunity and maintain good health, but there were also some risks of side effects. For example, some people would be allergic to the ingredients in the health care products, causing adverse reactions such as itchy skin, hives, breathing difficulties, and so on. If the intake of vitamins and minerals is excessive, it will lead to poisoning, such as vitamins A poisoning, iron poisoning, etc.; excessive intake of probiotic bacteria will cause problems such as digestive tract discomfort.
For the elderly, pregnant women, children, and people with certain diseases, they must be careful when eating health supplements because their body needs different ingredients. If they consume too much or inappropriate ingredients, it may cause damage to their health. Moreover, some herbal medicines in health care products may contain active ingredients, which may cause drug interactions or adverse reactions; protein may cause indigestion and increase the burden on the liver; excessive intake of vitamins may cause poisoning, resulting in nausea, headache, dizziness, vomiting, etc.; excessive intake of minerals may lead to an imbalance of vitamins.
In addition, some health care products may also have problems such as illegal addition of drugs. Even health care products sold in regular drugstores should pay attention to whether the ingredients and intake meet individual needs when selecting and using them to avoid adverse reactions or harmful effects on the body.
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Chang 'an University Road graduation project defense questions and answersThe following are some questions and answers that may be involved in the graduation project defense of Chang 'an University:
##1. Design standards
1. What is a highway?
- The highway was a multi-lane highway that was specially designed for cars to drive in different directions and lanes.
2. * * How do I determine the grade of the road? **
- To determine the grade of a highway, a variety of factors must be considered, such as the predicted traffic volume (including the annual average daily traffic volume), the function of the highway (whether it is a trunk road or a distribution road, etc.), the design speed, and the long-term design life.
3. * * What is the long-term design period? **
- The long-term design period was set when the highway was designed, taking into account factors such as future traffic volume growth. Within this period, the highway design should be able to meet the traffic demand. For example, the long-term design period of an expressway and a first-class highway was generally 20 years.
4. * * How to determine the design speed? **
- The design speed of the car must be determined by considering the grade of the road, the terrain conditions (such as plains, mountainous areas, etc.), traffic flow, safety, and many other factors. For example, a higher-grade highway may adopt a higher design speed when the terrain conditions are better.
5. * * Annual average daily traffic volume? **
- The annual average daily traffic volume refers to the average number of vehicles passing through a certain section every day in a year. It is an important basis for determining the design parameters such as highway grade.
6. * * What is road capacity? **
- Road capacity refers to the maximum number of vehicles that can pass through a section of the road in a unit of time under certain road and traffic conditions.
7. * * What is designed traffic volume per hour? **
- The design hour traffic volume is an important basis for determining the highway grade, number of lanes, and evaluating the highway operation status and service level. It is to arrange the traffic volume of 8760 hours in a year in order of size, and take the 30th hour traffic volume as the design hour traffic volume.
##2. Horizontal curve design
1. * * Plane of the route? **
- The plane of the route referred to the projection of the road's central line on the horizontal plane, which was composed of basic linear elements such as straight lines, circular curves, and transition curves.
2. * * The three elements of a horizontal line? **
- The three elements of horizontal alignment were straight lines, circular curves, and transition curves.
3. * * Why should the maximum length of a straight line be limited? What is the maximum length of a straight line? Illustrate **
- The limit on the maximum length of the straight line was to prevent the driver from getting tired and losing concentration due to driving in a straight line for a long time. The maximum length of a straight line did not have a fixed absolute value. It usually varied according to different design speeds and terrain. For example, in a section with a high design speed and relatively flat terrain, if the straight line was too long, the driver would easily relax his vigilance.
4. * * If a long straight line is used, what should I pay attention to? **
- When a long straight line is used, attention should be paid to the landscape design of the road to avoid monotonous visual effects. At the same time, a curve and other linear transition should be reasonably set at the end of the straight line to ensure driving safety.
5. * * Why is the minimum straight line length limited? **
- The minimum straight line length was limited to ensure the smoothness of the vehicle and the convenience of the driver's operation, as well as to meet the aesthetic and coordination requirements of the linear combination.
6. * * How do I determine the radius of a circular curve? **
- To determine the radius of the circular curve, factors such as the design speed, the lateral force coefficient of the vehicle, and the super-high value should be considered. Generally speaking, the higher the design speed, the larger the radius of the circular curve needed.
7. * * Why is the minimum radius of a circular curve limited? **
- Restricting the minimum radius of the circular curve was to ensure the lateral stability and safety of the vehicle when driving on the curve, and to avoid the danger of sideslip or overturning due to excessive centrifugal force.
8. * * What is super high? **
- Supearing referred to the one-way crossslope form where the outer side of the road was higher than the inner side in order to offset the centrifugal force generated when the vehicle was driving on a curve.
9. * * Why is the minimum curve length limited? **
- Limiting the minimum curve length was to ensure the smoothness of the vehicle and the comfort of the driver's operation, as well as to facilitate the driver to identify the change in the line shape.
10. * * What is the minimum angle of a horizontal curve? **
- There was no uniform absolute value for the minimum turning angle of a horizontal curve. It was related to the design speed, road grade, and other factors. Generally, it was necessary to ensure sufficient curve length and smoothness of the line.
11. * * What is a transition curve? **
- A transition curve is a curve with a continuous change in curvature that is set between a straight line and a circular curve or between two circular curves with a large difference in radius.
12. The effect of the transition curve?
- The functions of the transition curve include: (1) It acts as a transition between a straight line and a circular curve with a gradual curvature to make the vehicle ride smoothly;(2) It gradually changes the centrifugal acceleration to improve the comfort of driving;(3) It is conducive to the transition of super-height and widening.
13. * * Why is the minimum length of the transition curve limited? **
- Restricting the minimum length of the transition curve was to ensure that the change rate of the centrifugal acceleration when the vehicle was driving was within the range that the driver and passengers could adapt to. At the same time, it was also to meet the requirements of super-height and widening transition.
14. * * How to determine the super high slope? **
- The determination of the super high slope must consider the design speed, the radius of the circular curve, the type of vehicle, and other factors. It is generally determined according to the relevant design specifications and calculation formulas.
15. * * What are the types of super high settings? **
- The superely-height setting mainly had the forms of rotating around the central line of the central belt, rotating around the edge of the central separation belt, rotating around the center line of each lane, and so on.
16. * * Why do I need to widen the curve? **
- The curve widening was set because when the vehicle was driving on the curve, the track of the rear wheels was inclined to the inner side of the curve, and the width occupied by the vehicle was wider than that when driving on a straight line. In order to ensure that the vehicle drove on the curve safely and smoothly, the curve widening was needed.
17. * * What is a curve? **
- A curve was a curve on the vertical section. It was a curve set when the road's vertical slope changed from downhill to uphill. Its main function was to meet the visual distance requirements.
18. [What is a simple curve?]
- A simple curve is a curve form that is composed of only one circular curve in a horizontal line.
19. * * What is a basic curve? **
- The basic curve was a combination of a straight line, a transition curve, a circular curve, a transition curve, and a straight line.
20. * * What is an S-shaped curve? **
- An S-shaped curve was a combination of two reverse circular curves connected by a transition curve.
21. * * What is a C-shaped curve? **
- The C-shaped curve was a special combination of curves in the same direction. Two circular curves were directly connected without inserting a transition curve. It was generally used in special terrain and other conditions, but the conditions of use had to be strictly controlled.
22. * * What is a compound curve? **
- A compound curve is a curve form formed by two or more circular curves with different radiuses that are directly connected.
23. * * What is a complex curve? **
- Compound curves were formed by connecting two or more circular curves of different radiuses in the same direction with transition curves or straight lines in the middle.
24. * * Stopping sight distance? **
- Stopping sight distance refers to the shortest distance required for the driver to stop the car in order to avoid collision when he finds an obstacle on the road ahead. It is composed of reaction distance, braking distance, and safety distance.
25. * * Overtaking sight distance? **
- Overtaking sight distance refers to the shortest distance from the point where the car behind overtakes the car in front to the point where the car in the opposite direction can be seen and safely return to the original lane after overtaking.
26. * * Sight distance? **
- The passing sight distance refers to the shortest distance between two vehicles driving in the same lane from the moment they discover each other to the moment they take brake measures to stop the vehicles safely.
##3. Design of vertical curves
1. * * What is a vertical section? **
- The vertical section refers to the projection of the road's central line on a vertical plane. It reflects the ups and downs along the road.
2. * * What is the elevation of the embankment design? **
- The design elevation of the embankment refers to the height standard of a certain position of the embankment specified during the embankment design. It is generally determined according to the type of road and design requirements. For example, the elevation of the outer edge of the central separation belt is generally used as the design elevation of the embankment.
##IV. Cross-Section Design
1. * * Mark your design elevation position on the cross section and introduce your super-high transition method (drawing illustration)**
- In the cross-section design, the location of the design elevation was determined according to the road type and design requirements. For example, for a highway with a central separation belt, the design elevation may be at the edge of the central separation belt or the edge of the lane. There were many ways of super-high transition. For example, when rotating around the center line of the middle belt, the outer road surface gradually rose and the inner road gradually lowered until it reached the design super-high value. (Drawing is required according to the specific design.)
2. * * Did you widen it in your design? Under what conditions do you need it? **
- If there were circular curves in the graphic design, it might be necessary to set widening. When the vehicle was driving on a curve, the rear wheel trajectory was inclined to the inner side of the curve, and the width occupied by the vehicle was wider than that when driving in a straight line. Therefore, widening was required when the radius of the circular curve was small.
3. * * How to determine the super height? Does it need to be set for all corners? **
- The supearing was determined by considering the design speed, the radius of the circular curve, the type of vehicle, and other factors. It was determined through the relevant calculation formula. Not all curves needed to be set with supearing. Generally, supearing was needed when the radius was small and the design speed was high. When the radius of the curve was large, the centrifugal force generated when the vehicle was driving was small, so there might not be a need to set supearing.
##5. Liner Combination
1. * * What are the principles and design points of the horizontal and vertical linear combination? **
- The principles of the horizontal and vertical linear combination include: (1) it should be able to naturally induce the driver's line of sight;(2) maintain the continuity and balance of the line;(3) avoid uncoordinated linear combinations such as short straight lines connected to large radius circular curves. The key points of the design include the reasonable selection of the radius and slope of the horizontal and vertical curves to make the horizontal and vertical lines match each other. For example, the top of the concave vertical curve and the bottom of the concave vertical curve should not be inserted with a small radius of the horizontal curve.
2. * * How do I use the horizontal and vertical line indicators in the linear design? **
- During the linear design, the relevant indicators of the horizontal and vertical lines should be determined according to the design speed, traffic volume, terrain and other factors. For example, the radius of the horizontal curve and the slope of the vertical curve should be determined according to the design speed. At the same time, the coordination of the horizontal and vertical line combination should be considered so that the indicators of the horizontal curve and the vertical curve match each other to meet the requirements of driving safety, comfort, and aesthetics.
##6. Planar intersection
1. * * What factors should be considered in the design of the intersection? **
- The grade of the intersection, traffic flow, speed, sight distance, intersection angle and other factors should be considered in the design of the intersection. For example, when the intersection road level is high, it is necessary to ensure a better linear transition; when the traffic flow is large, the number of lanes and traffic organization should be reasonably set; it is necessary to ensure enough sight distance so that the driver can clearly see the situation of the intersection; the intersection angle should be as close to a right angle as possible to improve the safety and traffic capacity of the intersection.
##7. Protection
1. * * What are the common slope protection measures on roads? **
- Common slope protection measures include plant protection (such as planting grass, laying turf, planting trees, etc.) and engineering protection (such as plaster, gunite, mortar rubble slope protection, etc.). Plant protection can play a role in beautification of the environment and prevention of soil erosion; engineering protection is suitable for poor soil quality and steep slopes, which can improve the stability of the slope.
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Ancient Great SorcererThe ancient Great Sorcerer was an extremely intelligent existence at that time. He was the most advanced intellectual and his status was second only to the tribal leader. They were believed to be able to communicate with the gods and played a vital role in the early human society.
At that time, people's natural science knowledge was relatively backward. When faced with many unknown phenomena, they could only attribute it to supernatural forces. Great wizards could communicate with supernatural forces and convey the will of God, so people had to rely on them when doing important things (such as war, hunting, etc.). For example, in the battle between the Yellow Emperor and Chiyou, Yinglong, Feng Bo, Yu Shi, and the Goddess (who could be regarded as a sorcerer at that time) decided the direction of the war. Legend has it that Yu the Great and his son Qi were also wizards. In the era of the founding emperor of the Xia Dynasty, Yu the Great, wizards could communicate with the heavens. The leaders of primitive tribal societies were often wizards.
In terms of cultural creation, some people believed that the Classic of Mountains and Seas might have been written by the great shaman of the Pre-Qin Dynasty. This ancient book recorded the mountains and rivers, roads, ethnic groups, products, medicines, sacrifices, witch doctors, etc. in ancient times. The witch doctor part was even more magical. It recorded more than 130 kinds of strange herbs and beasts that could be used as medicine to treat more than 40 kinds of diseases or symptoms.
For example, Qu Yuan, a famous politician and writer in history textbooks, was also recorded in history books as a genuine great wizard. This was related to the widespread superstition of the people in the Pre-Qin period, especially the emphasis on ghosts, gods, witchcraft and religious rituals by the people of Chu.
While waiting for the TV series, you can also click on the link below to read the classic original work of "Dafeng Nightwatchman"!
Which episode was the Yanzi Kidnapped?In " Blooming Lily," the kidnapping of the swallow was episode 31; in the second part of " Princess Pearl," the kidnapping of the little swallow was episode 18 - 20, and the kidnapping of Crape Myrtle was episode 36 of the second part.
While waiting for the TV series, he could also read the exciting content related to this site!
Silent Movie OnlineAccording to the reference materials, the movie "Silence"(2020, action genre) was broadcasted at Lightning Online and could be watched online.
"The Silent Eyewitness" novel is equally exciting. Everyone is welcome to click and read it!