Classical Chinese: In the spring of four years, Teng and Zhen guarded Baling. In the second year, the government was harmonious and everything went smoothly. Is to rebuild Yueyang Tower, add its old system, and engrave Tang Xian's poems on it. It belongs to (zhǔ) to (yú) Write a composition and remember it.
Yu (fú) Baling wins the case in Dongting Lake. The mountains are far away, the Yangtze River swallows them, and the soup (shāng) is boundless and full of weather. This is the grand view of Yueyang Tower, which was prepared by the elder (yǐ). But the northern martial arts, the Antarctic Xiaoxiang, and the poets who moved abroad will all be here, and they will look at things well.
(yín) Heavy rain (fēi), the moon does not open, the evil wind howls (háo), and the turbid waves are emptied; The sun, moon and stars are hidden in Yao, and mountains and rivers are hidden in Qi. Business travel is not good, but it is a disaster. At dusk (míng), the tiger howls (xiào) and the ape cries. When you go to the temple building, you are homesick, sad, sad and sad.
If the spring is peaceful, the scenery is beautiful, the waves are calm, and the sky is high and the clouds are light (qǐng). Li Jing swims in Ji Xiang, Sha Ou. On shore, ZH (ZH ǐ) TΡ ng (Tó ng) is blue and green (qóng). Or the long smoke is exhausted, the bright moon is thousands of miles away, the light is shining, the static shadow is sinking, and the fishing songs are answered. How happy I am! It's refreshing to go to the temple building, forget the humiliation, and leave the wine in the breeze.
Oh, honey! Try to seek the heart of ancient benevolent people, or do something different from them. What? Don't rejoice in things, don't grieve for yourself. If you live high in the temple, you will worry about the people, and if you live far in the rivers and lakes, you will worry about the king. It's worrying about going in and going out. But when will it be fun (yé)? It must be said that "worry about the world first, and then enjoy the world." Hey (y: and)! Wes, who are we going home with?
September 15th, six years.
Famous articles! Fan Zhongyan-Yueyang Tower
2. Answer one of the following ten ancient Chinese math problems. Today, things are different, and three or three counts leave two. This mathematical problem was first proposed and described by Sun Tzu's Art of War in the Northern and Southern Dynasties. The topic of "unknown things" is like this: "Today, the number of some things is unknown. If you count them in twos and threes, there will be two left. " Five times five, and finally there are three left; If you multiply by seven, there are two left. Q: How many of these things are there? "This is not what you understand. Actually, 70 is divisible by 5 and 7, but divisible by 3, 1, 2 1 is divisible by 3 and 7, but divisible by 5, 15 is divisible by 3 and 5, but divisible by 7, 1. If this number is divided by 3, then 70 times 2. Then multiply 15 by 2 and add .70 * 2+21* 3+15 * 2 = 233. It depends, subtract the multiple of the least common multiple of 3, 5 and 7. Subtract this question twice with 105 to get 23. This system algorithm is a mathematician in the Southern Song Dynasty.
3. Translate the following ten mathematical problems in ancient Chinese into vernacular Chinese, assuming that there are several things, with three or three places leaving two at last, five or five places leaving three at last, and seven or seven places leaving two at last. How many * * * are these things?
Secondly, suppose there is a piece of land with a width of one and a half steps plus three steps, a quarter step plus five steps plus six steps plus seven steps plus eight steps (1.5+1/3+1/4+...+1/8 steps). How long does it take to measure an acre of land (240 square steps is an acre)?
Thirdly, suppose there is a wall, which is three feet thick below, two feet thick above, one foot two feet high and twenty-two feet five feet eight inches long. What is the size of this city?
Fourth, several people buy chicken together, and each person pays nine dollars, leaving eleven dollars; Six dollars each, sixteen dollars short. How many people are there and how much is the chicken?
Fifth, there is a cube with a volume of 1.86867 cubic feet. What is its side length? The ruler here is a cubic ruler. Everything with height, depth and volume is in cubic units. ), and the volume of a cube is 1953 1/8 cubic feet (1953+ 1/8 cubic feet). What is its side length? The volume of the other cube is 63,401and 512,447 cubic feet (634,065,438+0+447/565,438+02 cubic feet). What is its side length? The volume of the other cube is 1, 937,54 1, which is one seventh of 17 cubic feet (1937 541+27/41cubic feet). What is its side length?
Sixth, suppose that three bundles of excellent grain, two bundles of medium grain and one bundle of inferior grain can produce thirty-nine buckets of grain; Two bundles of excellent grain, three bundles of medium grain and one bundle of inferior grain can produce thirty-four buckets of grain; A bundle of high-grade grain, two bundles of medium-grade grain and three bundles of low-grade grain can produce 26 buckets of grain. How much food can the upper, middle and lower crops produce per bundle?
Seventh, suppose there is a 10-foot-long square pool with reeds growing inside, one foot above the water. Pulling the reeds to the shore is exactly equal to the pool shore. How deep is the water and how long is the reed?
Eighth, suppose there is an isosceles trapezoid with a base length of 20 steps, a top length of 5 steps and a height of 30 steps. What is the area of this land? There is also an isosceles trapezoid with a base length of 1 17 steps, a top length of 50 steps and a height of 135 steps. What is the area of this land?
Ninth, suppose there are five people, doctor, Bu Geng, Ba Mao, Shang Zao and male scholar, hunting five deer. I'm going to divide the prey by title and ask everyone how much to take.
Tenth, suppose it takes eight days for Jia county to collect grain and transport it to ten thousand households; 9500 households in county B, transported for ten days; County C 12350 households, and the transportation takes thirteen days. Dingxian12,200 households, transported for 20 days. The four counties collected 250,000 tons of grain, and the grain for vehicles was 1 10,000 tons. If the grain is collected according to the distance of the road and the proportion of households, how much grain will be collected by each household in each county and transported by each vehicle?
4. Classical Chinese Mathematics, Nature and How Foreigners Say Mathematics: There seems to be no systematic introduction to mathematics in ancient China, which should be another branch of arithmetic, arithmetic and geometry. In ancient China, this branch of mathematics was called metaphysics instead of geometry. The word "geometry" is not a proprietary mathematical term in Chinese, but a function word meaning "geometry". What does the word "geometry" mean here? So, who first used the word "geometry" as a technical term of mathematics and used it to refer to this branch of mathematics? This is Xu Guangqi, an outstanding scientist in the late Ming Dynasty. In ancient times, nature was called "Tao", "Heaven", "Nature" and "HarmonyOS System". In addition, there are those who are called "Creators" (Su Shi's # Red Cliff Fu "is the creator's endless hiding") and "Nature (the creator has endowed all mysterious natural grace here)".