双射
请帮忙给出正确答案和分析,谢谢!
请帮忙给出正确答案和分析,谢谢!
设是映射,,则下列选项正确的是()。
A、如果h是单射,那么f也是单射。
B、如果h是满射,那么g也是满射。
C、如果f,g都是单射,那么h也是单射。
D、如果f,g都是满射,那么h也是满射。
A、|A|=|B|
B、|A|∈|B|
C、|A|⊆|B|
D、|A|⊂|B|
是{0,1,...,m-1}上的双射函数当且仅当a与m互素.
(1)找出A上所有的双射函数.
(2)说明这些函数是否为<A,○>的自同构,为什么?
试讲题目
1.题目:国旗、国徽的由来
2.内容:
开国大典前夕,中国人民政治协商会议筹备委员会向国内外发出了征求国旗、国徽图案和国歌词谱的启事,得到了热烈的响应。在短短的一个月时间里,政协共收到了数千件设计图稿,其中,上海的曾联松设计的国旗图案,经过简单的修改,最后被确定为中华人民共和国国旗的图案。
曾联松原设计的国旗图案是红色底色,旗面的左上方是一个黄色大五角星,星里含代表工农的锤子镰刀,大五角星的右方是围绕着大五角星的四个小五角星。政协最后决定把大五角星里的锤子镰刀去掉,用五星红旗作为中华人民共和国的国旗。国旗的象征意义是:“红色象征革命,旗上的五颗五角星及其相互关系象征共产党领导下的革命人民大团结。
曾联松设计的国旗图案 国徽
3.基本要求:
(1)请在10分钟内完成试讲内容。
(2)围绕国旗的设计,提出两个相关问题并解答。
(3)在讲述的过程中使用创设情境教学法。
答辩题目
1.请你画一幅中华人民共和国国旗
2.本课的教学目标是什么?
The Ivy League is an athletic conference comprising eight private institutions of higher education in the Northeastern United States. The term is most commonly used to refer to those eight schools considered as a group. The term is also connected with academic excellence, selectivity in admissions, and social elitism(精英主义). The term became official, especially in sports terminology, after the formation of the NCAA Division I athletic conference in 1954, when much of the nation polarized around favorite college teams. “IV” was used because originally the league consisted only of four members. The use of the phrase is no longer limited to athletics, and now represents an educational philosophy inherent to the nation's oldest schools. In addition, Ivy League schools are often viewed by the public as some of the most prestigious universities worldwide and are often ranked amongst the best universities in the United States and worldwide. The eight institutions are Brown University, Columbia University, Cornell University, Dartmouth College, Harvard University, Princeton University, the University of Pennsylvania, and Yale University. All of the Ivy League's institutions place near the top in the U.S. News & World Report college and university rankings and rank within the top one percent of the world's academic institutions in terms of financial endowment(捐助). Seven of the eight schools were founded during America's colonial period; the exception is Cornell, which was founded in 1865. Ivy League institutions, therefore, account for seven of the nine Colonial Colleges chartered before the American Revolution. The Ivies are all in the Northeast geographic region of the United States. All eight schools receive millions of dollars in research grants and other subsidies from federal and state government. Undergraduate enrollments among the Ivy League schools range from about 4,000 to 14,000, making them larger than those of a typical private liberal arts college and smaller than a typical public state university. Ivy League university financial endowments range from Brown's $2.01 billion to Harvard's $26 billion, the largest financial endowment of any academic institution in the world. 71. From the passage, we know the word “Ivy” in “the Ivy League” was first chosen to refer to _______. A. a plant B. a number C. a sport D. a spirit 72. What is special about Cornell University in the League? A. It is the oldest one. B. It was founded by colonists. C. It has the smallest endowment. D. It is the youngest one. 73. Which meaning can the term “the Ivy League” convey today? A. The largest enrollment. B. The strongest government support. C. The most expensive schools. D. First-class education. 74. Which of the following statements is true? A. There is no longer sports competition in the Ivy League. B. Seven colleges were set up before the USA was founded. C. Brown University has the smallest number of students. D. Typical public state universities are larger than the Ivies. 75. Which of the following can be the best title of the passage? A. The ABC of “The Ivy League” B. Best Universities in the USA C. The Financial Income of American Universities D. How to Apply to an Ivy League University |
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