1. 临着一切不平常的急难，只有勇敢和坚强才能拯救。——沙甫慈伯利

1. In the face of all extraordinary emergencies, only courage and strength can save us. - Sir Philip Sydney

2. ◆宁可身冷，不可心冷；宁可人穷，不可志穷。

2. ◆It is better to be cold in body than in heart; better to be poor in wealth than in spirit.

3. 心不可不用，地不可不种。

3. The heart must not be unused, and the land must not be unseeded.

4. 改变好习惯比改掉坏习惯容易的多，这是人生的一大悲衰。——毛姆

4. It is much easier to change good habits than to get rid of bad ones, and this is one of life's great tragedies.—William Somerset Maugham

5. 现在，阿拉伯数字已成了全世界通用的数字符号。

5. Now, Arabic numerals have become the universally used numeral symbols worldwide.

6. 无妻不成家，无梁不成屋。

6. Without a wife, a family is not complete; without beams, a house is not a house.

7. 由于人的双手有十个手指，人类发明了十进位制记数法。然而，十进位制和电子计算机却没有天然的联系，所以在计算机的理论和应用中难以畅通无阻。究竟为什么十进位制和计算机没有天然的联系？和计算机联系最自然的记数方法又是什么呢

7. Because human hands have ten fingers, humans invented the decimal system for counting. However, there is no natural connection between the decimal system and electronic computers, which makes it difficult for the theory and application of computers to proceed smoothly. Why do the decimal system and computers not have a natural connection? What is the most natural counting method connected to computers?

8. 历史和哲学负有多种永恒的责任，同时也是简单的责任。雨果

8. History and philosophy bear multiple eternal responsibilities, as well as simple ones. Hugo

9. 若某队积6分，则剩下12分，可能有另两个队也各得6分，这样就要按进一步规则排序，因此该队有可能不出线。

9. If a team has accumulated 6 points, there are 12 points remaining. It is possible that another two teams have also each earned 6 points, in which case the team would need to be sorted according to further rules, and thus there is a possibility that the team may not qualify.

10. 有可能。6场比赛都是平局，4个队都只得了3分，按进一步规则排序，该队如果处于前两位，就有可能出线。

10. It is possible. With all 6 matches ending in draws, 4 teams each having only 3 points, according to the further rules of sorting, if the team is in the top two positions, there is a possibility for them to qualify.

11. ◆光说不练假把式，光练不说真把式，连说带练全把式。

练功不练功，假把式；练功又练功，真把式；又练功又练功，全把式。

12. 强烈的希望，比任何一种已实现的快乐，对人生具有更大的激奋作用。——尼采

12. A strong hope has a greater exciting effect on life than any kind of happiness that has already been realized. - Nietzsche

13. 不经一番寒彻骨，哪有梅花扑鼻香。

13. Without going through a cold that pierces to the bone, how can there be plum blossoms with a fragrance that permeates the nose?

14. 一问三不知，神仙没法治。

14. When one doesn't know the answer to three questions, even the immortals have no solution.

15. 在世界杯小组赛上，每四个队进行单循环比赛，每场比赛胜队得3分，负队得0分，平局两队各得1分。小组赛结束后，总积分高的两队出线，进入下一轮比赛。如果总积分相同，还要按进一步的规则排序。

15. In the World Cup group stage, four teams compete in a single round-robin tournament. Each winning team earns 3 points, while the losing team earns 0 points, and both teams earn 1 point in a draw. After the group stage, the two teams with the highest total points advance to the next round of the competition. If the total points are the same, further rules are applied to determine the ranking.

16. 数学符号的发明和使用比数字晚，但是数量多得多。现在常用的有200多个，初中数学书里就不下20多种。它们都有一段有趣的经历。

16. The invention and use of mathematical symbols came later than numbers, but there are many more of them. There are now over 200 commonly used symbols, and there are more than 20 types in junior high school math textbooks. Each of them has an interesting history.

17. 大于号"〉"和小于号"〈"，是1631年英国著名代数学家赫锐奥特创用。至于≯""≮"、"≠"这三个符号的出现，是很晚很晚的事了。大括号"{ }"和中括号"[ ]"是代数创始人之一魏治德创造的。

17. The greater-than symbol "〉" and the less-than symbol "〈" were created by the famous British mathematician Henry Horrocks in 1631. As for the appearance of the symbols "≯""≮", "≠", these were very late developments. The curly braces "{ }" and square brackets "[ ]" were created by Wladislaus Waide, one of the founders of algebra.

18. ◆一人一双手，做事没帮手，十人十双手，拖着泰山走。

18. ◆ One person, one pair of hands, no helper to do things; ten people, ten pairs of hands, can drag Mount Tai away.

19. 光辉的人生中，一个忙迫的钟头，胜于无意义的人生的一世。——司各特

19. A busy hour in a life of splendor is better than a whole lifetime of meaninglessness. - Scott

20. 15。这样，十进位制的100000写成十六进位制就是186A0。

20. 15. In this way, the decimal number 100000 is written as 186A0 in hexadecimal.

21. 人活脸，树活皮，墙坬活的一铣泥。

21. A person lives by their face, a tree lives by its bark, and a wall lives by a shovel of earth.

22. 在他握有意志的完全自由去行动时，他才能对他的这些行为负完全责任。马克思

22. He can only take full responsibility for these actions when he has the complete freedom of will to act. - Marx

23. 吃饭尝的吃，做事想的做。

23. Eat as you eat and do as you think.

24. 谚语可以体现一个民族的创造力，智慧和精神。——培根

24. Proverbs can reflect a nation's creativity, wisdom, and spirit. - Bacon

25. 宁向直中取，不在曲中求。

25. It is better to seek in the straightforward than in the crooked.

26. ◆绊人的桩，不一定高；咬人的狗，不一定叫。

26.◆ The stake that trips people up may not be high; the dog that bites may not bark.

27. 读死书是害己，一开口就害人;但不读书也并不见得好。——鲁迅

27. Reading dead books is harmful to oneself, and speaking without thinking is harmful to others; but not reading is not necessarily better either. — Lu Xun

28. ◆见人不施礼，枉跑四十里；见人施一礼，少走十里地。

28. ◆Not saluting someone when you see them, you'll have to run for forty miles in vain; if you do salute someone, you can walk ten miles less.

29. 一个人能承担多大的责任，就能取得多大的成功！心有睛天

29. The more responsibility a person can take on, the greater the success they can achieve! Keep a clear mind.

30. ◆山是一步一步登上来的，船是一橹一橹摇出去的。

30. ◆The mountain was climbed step by step, and the boat was pushed out with one oar at a time.

31. 自己活着，就是为了使别人过得更美好。——雷锋

31. To live is to make others' lives better. — Lei Feng

32. 处处热心的人生，是事事满意的人生。——帕克

32. A life full of enthusiasm is a life of satisfaction in all things. — Parker

33. ◆菜能吃，糠能吃，气不能吃；吃能让，穿能让，理不能让。

33. ◆Vegetables can be eaten, bran can be eaten, but air cannot be eaten; one can accommodate food, one can accommodate clothing, but one cannot accommodate principle.

34. ◆一天不练手脚慢，两天不练丢一半，三天不练门外汉，四天不练瞪眼看。

34. ◆If you don't practice for a day, your skills become slow; if you don't practice for two days, you lose half of them; if you don't practice for three days, you become a stranger to the craft; if you don't practice for four days, you just watch in awe.

35. 希望是黑暗中的火光，使人精神振作;希望使沙漠中的绿洲，使人心旷神怡。——陈懿

35. Hope is a light in the darkness, reviving one's spirit; hope is an oasis in the desert, bringing peace and joy to the heart. — Chen Yi

36. 幸运并非没有恐惧和烦恼;厄运也决非没有安慰和希望。——培根

36. Luck is not without its fears and troubles; misfortune is not without its consolations and hopes. — Bacon

37. 满招损，谦受益，自大一点臭。

37. "Pride goes before a fall, modesty brings benefits, and a bit of arrogance smells bad."

38. 成功=艰苦的劳动+正确的方法+少谈空话。——爱因斯坦

38. Success = hard work + correct methods + less talk of empty words. – Einstein

39. 最甜美的是爱情，最苦涩的也是爱情。——菲·贝利

39. The sweetest is love, and the most bitter is also love. - Phi Berry

40. 强烈的希望是人生中比任何欢乐更大的兴奋药。——尼采

40. A strong hope is a greater stimulant in life than any joy. – Nietzsche

41. 天色亮一亮，河水涨一丈。

41. When the sky brightens, the river swells by a ten feet.

42. 一天省下一两粮，十年要用仓来装。

42. Save a pound or two of grain each day, and in ten years you'll need a granary to store it.

43. 有饭休嫌淡，有车休嫌慢。

43. Don't complain about the food being bland when you have it, and don't complain about the car being slow when you have one.

44. 凡是我受过他好处的人，我对于他便有了责任。梁启超

44. For everyone who has done me a favor, I have a responsibility towards them. — Liang Qichao

45. "÷"最初作为减号，在欧洲大陆长期流行。直到1631年英国数学家奥屈特用"："表示除或比，另外有人用"-"（除线）表示除。后来瑞士数学家拉哈在他所著的《代数学》里，才根据群众创造，正式将"÷"作为除号。

45. The symbol "÷" was originally used as a minus sign and was widely popular on the European continent. It was not until 1631 that British mathematician John Wallis introduced the colon ":" to represent division or ratio, and some others used the hyphen "-" (division bar) to denote division. It was later that the Swiss mathematician Jakob Bernoulli, in his book "Algebra," officially adopted the symbol "÷" as the division sign, based on the crowd's creation.

46. 没有了希望，一个人就不能维持他的信仰，保守他的精神，或保全他的内心纯洁。——巴尔扎克

46. Without hope, a person cannot maintain his faith, preserve his spirit, or keep his inner purity. — Balzac

47. 十六世纪法国数学家维叶特用"="表示两个量的差别。可是英国牛津大学数学、修辞学教授列考尔德觉得：用两条平行而又相等的直线来表示两数相等是最合适不过的了，于是等于符号"="就从1540年开始使用起来。

47. In the 16th century, the French mathematician Vieta used "=" to represent the difference between two quantities. However, the British mathematician and professor of rhetoric at Oxford University, Recorde, felt that using two parallel and equal straight lines to represent the equality of two numbers was the most appropriate, and so the equal sign "=" began to be used from 1540.

48. 我可以表示不同的精确度。在近似计算中，小数部分末尾的我可不能随便划去。如:

48. I can represent different levels of precision. In approximate calculations, I cannot arbitrarily remove the decimal part at the end. For example:

49. 天上鱼鳞斑，晒谷不用翻。

49. The sky has a scale-like pattern, no need to turn over the rice in the sun.

50. 名言警句，是指一些名人说的，写的，历史纪录的，经过实践所得出的结论以及警世的比较有名的言语。——泰戈尔

50. A maxim or a proverb is a saying made by famous individuals, written down, recorded in history, and derived from practical experiences, as well as the more famous words that serve as warnings to the world. — Rabindranath Tagore

51. 为人不学好，枉在世上跑。

51. If one does not learn to be good, it's a waste to run around in the world.

52. 有粮当思无粮难，莫到无粮思有粮。

52. When there is grain, remember the difficulty of having none; do not wait until there is none to think about having some.

53. 意志命运往往背道而驰，决心到最后会全部推倒。——莎士比亚

53. Will and fate often go against each other, and determination will eventually be completely overturned. – Shakespeare

54. 有山必有路，有水必有渡。

54. Where there are mountains, there must be paths; where there is water, there must be a crossing.

55. "+"号是由拉丁文"et"（"和"的意思）演变而来的。十六世纪，意大利科学家塔塔里亚用意大利文"più"（加的意思）的第一个字母表示加，草为"μ"最后都变成了"+"号。

55. The "+" sign originated from the Latin word "et" which means "and". In the sixteenth century, the Italian scientist Tartaglia used the first letter of the Italian word "più" which means "plus" to represent addition. The grass symbol "μ" eventually evolved into the "+" sign.

56. 责任感以及有效地派任职务是成功企业经营的要素之一。洛德福特

56. Responsibility and effective delegation of roles are one of the elements for successful business operation. Lordford

57. 一日练，一日功，一日不练十日空。

57. One day of practice, one day of achievement; one day without practice, ten days of emptiness.

58. ◆三勤一懒，想懒不得懒；三懒一勤，想勤不得勤。

58.◆ Three industrious and one lazy, can't be lazy; three lazy and one industrious, can't be industrious.

59. ◆一针不补，十针难缝；有险不堵，成灾叫苦。

59. ◆Without a single needle repair, it's hard to sew with ten; if dangers are not blocked, suffering will arise from disasters.

60. 只有能够实现的希望才能产生爱，只有希望才能保持爱。——奥维德

60. Only hope that can be realized can produce love; only hope can maintain love. — Ovid

61. 嫁给官是官娘子，嫁给屠户翻肠子。

61. Marrying an official makes you an official wife, but marrying a butcher makes your intestines twist.

62. 这个小数的进位制在表示有些数字时很方便。例如常遇到的1/3，在十进位制里要变成无限小数，但在这种进位制中就是一个整数。

62. This number system is very convenient for representing some numbers. For example, the commonly encountered 1/3, which is an infinite decimal in the decimal system, is an integer in this number system.

63. 生命，只要你充分利用，它便是长久的。——塞内加

63. Life is long if you make good use of it. - Seneca

64. 不畏浮云遮望眼，自缘身在最高层。——王安石

64. Fear not the floating clouds that block the view, for I am in the highest layer, where they cannot reach me. — Wang Anshi

65. 每一个人都应该有这样的信心：人所能负的责任，我必能负；人所不能负的责任，我亦能负。如此，你才能磨炼自己，求得更高的知识而进入更高的境界。——林肯

65. Everyone should have such confidence: whatever responsibilities a person can bear, I can bear; and whatever responsibilities a person cannot bear, I can also bear. Only in this way can you temper yourself, seek higher knowledge, and enter a higher realm. — Lincoln

66. ◆一个巧皮匠，没有好鞋样；两个笨皮匠，彼此有商量；三个臭皮匠，胜过诸葛亮。

66. ◆ One clever cobbler lacks a good shoe pattern; two clumsy cobblers can consult with each other; three stinky cobblers are better than Zhuge Liang.

67. 我表示“没有”。在数物体时，如果没有任何物体可数，就要用我来表示。

67. I say "none." When counting objects, if there are no objects to count, I am used to indicate this.

68. 尽管责任有时使人厌烦，但不履行责任，只能是懦夫，不折不扣的废物。刘易斯

68. Although responsibility can sometimes be annoying, not fulfilling one's responsibilities can only be that of a coward, a thorough and absolute waste. — Lewis

69. 刀子不磨要生锈，人不学习要落后。

69. If a knife is not sharpened, it will rust; if a person does not learn, they will fall behind.

70. 虚心的人学十当一，自满的人学一当十。

70. A humble person learns ten things for one, while a conceited person learns one thing for ten.

71. 酒坏君子水坏路，神仙吃不过酒的够。

71. Wine ruins gentlemen, water ruins roads, even immortals can't escape the allure of wine.

72. 凡不是就着泪水吃过面包的人是不懂得人生之味的人。——歌德

72. He who has not eaten bread with tears does not know the taste of life. — Goethe

73. ◆为富不仁 ，为仁不富。

73. ◆ The rich are not benevolent, and the benevolent are not rich.

74. 一日不读口生，一日不写手生。

74. A day without reading makes the mouth stiff, and a day without writing makes the hand stiff.

75. 手指有长有短，知识有高有低。

75. Fingers come in different lengths, and knowledge varies in depth and breadth.

76. 书山有路勤为径，学海无涯苦作舟。

76. There are paths up the mountain of books; diligence is the way. The sea of learning has no end; toil is the boat.

77. 一马不配两鞍，一脚难踏两船。

77. One horse cannot wear two saddles, and one foot cannot step on two boats.

78. 这种六十进位制（严格地说是六十退位制）的小数记数法，在天文历法方面已长久地为全世界的科学家们所习惯，所以也就一直沿用到今天。

78. This decimal system with a base of 60 (more strictly, a sexagesimal system) has long been accustomed by scientists worldwide in the field of astronomy and calendarology, and therefore has been used continuously up to the present day.

79. 新三年，旧三年，缝缝补补又三年。

79. Three years new, three years old, patching and mending, and another three years pass by.

80. 最具挑战性的挑战莫过于提升自我。——迈克尔·F·斯特利

80. The most challenging challenge is to improve oneself. — Michael F. Straley

81. 十四世纪，九九歌的顺序才变成和现在所用的一样，从“一一如一”起到“九九八十一”止。

81. In the 14th century, the sequence of the "99 Song" changed to what is used today, starting from "One-one like one" and ending with "Nine-nine eighty-one."

82. 人的命，天注定，胡思乱想不顶用。

82. A person's life is predetermined by fate, and daydreaming won't do any good.

83. 意志坚强的人能把世界放在手中像泥块一样任意揉捏。——歌德

83. A strong-willed person can hold the world in their hands and mold it at will like a piece of clay. – Goethe

84. 一回经蛇咬，三年怕草绳。

84. Once bitten by a snake, one fears grass rope for three years.

85. 要使一个人显示他的本质，叫他承担一种责任是最有效的办法。毛姆

85. The most effective way to make a person reveal his essence is to call upon him to take on a responsibility. - Somerset Maugham

86. 时间是一切财富中最宝贵的财富。——德奥弗拉斯多

86. Time is the most precious of all wealth. — Theophrastus