廣播電視大學(xué)《復(fù)變函數(shù)》作業(yè)答案參考小抄
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1、電大《復(fù)變函數(shù)》作業(yè)答案參考小抄 第1章 復(fù)數(shù)與復(fù)變函數(shù) 一、單項(xiàng)選擇題 1、C 2、D 3、D 4、C 二、填空題 1、2xy 2 3、連通的開集 4、。 三、計(jì)算題 1、解:令 2、解: 3、解 則 。 4、解: 四、證明題 1、證明: 則 2、證明 第2章 解析函數(shù) 一、單項(xiàng)選擇題 1、D 2、D 3、C 4、C 二、填空題 1、不解析 2、及其領(lǐng)域內(nèi)可導(dǎo) 3、 4、 三、計(jì)算題 1、解: 2、解: 3、見課本79頁例2.8。 4、解:依C—R條件 四
2、、證明題 1、證明: 2、證明: 第3章 初等函數(shù) 一、單項(xiàng)選擇題 1、A 2、D 3、B 4、A 二、填空題 1、 2、 3、 4、 三、計(jì)算題 1、解:。 2、解: 3、解: 4、解: 四、證明題 1、證明: 所以命題得證。 2、證明: 命題得證。 第4章 解析函數(shù)的積分理論 一、單項(xiàng)選擇題 1、D 2、A 3、B 4、A 二、填空題 1、 2、ML 3、7 4、 三、計(jì)算題 1、解:積分路徑的參數(shù)方程為: 2、解:
3、 3、解: . 4、解、 四、證明題 1、證明: 2.證:設(shè)由圓周圍成的區(qū)域?yàn)椋字?,為有界閉區(qū)域. 因函數(shù)在內(nèi)不是常數(shù),在內(nèi)解析,且在有界閉區(qū)域上連續(xù),所以,由最大模原理有 這表明在內(nèi)取不到最大值,故它只能在的邊界上取到最大值,即在圓周上必存在一點(diǎn),使得,且有 故結(jié)論得證. 第5章 解析函數(shù)的冪級數(shù)表示 一、單項(xiàng)選擇題 1、B 2、B 3、D 4、C 二-填空題 1、 2、一 3、0 4、一 三、計(jì)算題 四、證明題 第
4、6章 解析函數(shù)的羅朗級數(shù)表示 一、單項(xiàng)選擇題 1、D 2、C 3、D 4、B 二、填空題 1、 2、 3、一 4、本性 三、計(jì)算題 四、證明題 第七章 殘數(shù)及其應(yīng)用 一、 單項(xiàng)選擇題 1、B 2、A 3、A 4、C 二、填空題 1、 2 3、4 4、0 三、計(jì)算題 四、證明題 第8章 一、單項(xiàng)選擇題 1、C 2、D 3、D 4、D 二、填空題 1、單葉、保角 2、解析、不為
5、零 3、 4、 三、計(jì)算題 四、證明題 請您刪除一下內(nèi)容,O(∩_∩)O謝謝!?。?016年中央電大期末復(fù)習(xí)考試小抄大全,電大期末考試必備小抄,電大考試必過小抄Basketball can make a true claim to being the only major sport that is an American invention. From high school to the professional level, basketball attracts a large following for live games
6、as well as television coverage of events like the National Collegiate Athletic Association (NCAA) annual tournament and the National Basketball Association (NBA) and Womens National Basketball Association (WNBA) playoffs. And it has also made American heroes out of its player and coach legends like
7、Michael Jordan, Larry Bird, Earvin "Magic" Johnson, Sheryl Swoopes, and other great players. At the heart of the game is the playing space and the equipment. The space is a rectangular, indoor court. The principal pieces of equipment are the two elevated baskets, one at each end (in the long directi
8、on) of the court, and the basketball itself. The ball is spherical in shape and is inflated. Basket-balls range in size from 28.5-30 in (72-76 cm) in circumference, and in weight from 18-22 oz (510-624 g). For players below the high school level, a smaller ball is used, but the ball in mens games me
9、asures 29.5-30 in (75-76 cm) in circumference, and a womens ball is 28.5-29 in (72-74 cm) in circumference. The covering of the ball is leather, rubber, composition, or synthetic, although leather covers only are dictated by rules for college play, unless the teams agree otherwise. Orange is the reg
10、ulation color. At all levels of play, the home team provides the ball. Inflation of the ball is based on the height of the balls bounce. Inside the covering or casing, a rubber bladder holds air. The ball must be inflated to a pressure sufficient to make it rebound to a height (measured to the top o
11、f the ball) of 49-54 in (1.2-1.4 m) when it is dropped on a solid wooden floor from a starting height of 6 ft (1.80 m) measured from the bottom of the ball. The factory must test the balls, and the air pressure that makes the ball legal in keeping with the bounce test is stamped on the ball. During
12、the intensity of high school and college tourneys and the professional playoffs, this inflated sphere commands considerable attention. Basketball is one of few sports with a known date of birth. On December 1, 1891, in Springfield, Massachusetts, James Naismith hung two half-bushel peach baskets at
13、the opposite ends of a gymnasium and out-lined 13 rules based on five principles to his students at the International Training School of the Young Mens Christian Association (YMCA), which later became Springfield College. Naismith (1861-1939) was a physical education teacher who was seeking a team s
14、port with limited physical contact but a lot of running, jumping, shooting, and the hand-eye coordination required in handling a ball. The peach baskets he hung as goals gave the sport the name of basketball. His students were excited about the game, and Christmas vacation gave them the chance to te
15、ll their friends and people at their local YMCAs about the game. The association leaders wrote to Naismith asking for copies of the rules, and they were published in the Triangle, the school newspaper, on January 15,1892. Naismiths five basic principles center on the ball, which was described as "la
16、rge, light, and handled with the hands." Players could not move the ball by running alone, and none of the players was restricted against handling the ball. The playing area was also open to all players, but there was to be no physical contact between players; the ball was the objective. To score, t
17、he ball had to be shot through a horizontal, elevated goal. The team with the most points at the end of an allotted time period wins. Early in the history of basketball, the local YMCAs provided the gymnasiums, and membership in the organization grew rapidly. The size of the local gym dictated the n
18、umber of players; smaller gyms used five players on a side, and the larger gyms allowed seven to nine. The team size became generally established as five in 1895, and, in 1897, this was made formal in the rules. The YMCA lost interest in supporting the game because 10-20 basketball players monopoliz
19、ed a gymnasium previously used by many more in a variety of activities. YMCA membership dropped, and basketball enthusiasts played in local halls. This led to the building of basketball gymnasiums at schools and colleges and also to the formation of professional leagues. Although basketball was born
20、 in the United States, five of Naismiths original players were Canadians, and the game spread to Canada immediately. It was played in France by 1893; England in 1894; Australia, China, and India between 1895 and 1900; and Japan in 1900. From 1891 through 1893, a soccer ball was used to play basketba
21、ll. The first basketball was manufactured in 1894. It was 32 in (81 cm) in circumference, or about 4 in (10 cm) larger than a soccer ball. The dedicated basketball was made of laced leather and weighed less than 20 oz (567 g). The first molded ball that eliminated the need for laces was introduced i
22、n 1948; its construction and size of 30 in (76 cm) were ruled official in 1949. The rule-setters came from several groups early in the 1900s. Colleges and universities established their rules committees in 1905, the YMCA and the Amateur Athletic Union (AAU) created a set of rules jointly, state mili
23、tia groups abided by a shared set of rules, and there were two professional sets of rules. A Joint Rules Committee for colleges, the AAU, and the YMCA was created in 1915, and, under the name the National Basketball Committee (NBC) made rules for amateur play until 1979. In that year, the National F
24、ederation of State High School Associations began governing the sport at the high school level, and the NCAA Rules Committee assumed rule-making responsibilities for junior colleges, colleges, and the Armed Forces, with a similar committee holding jurisdiction over womens basketball. Until World War
25、 II, basketball became increasingly popular in the United States especially at the high school and college levels. After World War II, its popularity grew around the world. In the 1980s, interest in the game truly exploded because of television exposure. Broadcast of the NCAA Championship Games bega
26、n in 1963, and, by the 1980s, cable television was carrying regular season college games and even high school championships in some states. Players like Bill Russell, Wilt Chamberlain, and Lew Alcindor (Kareem Abdul-Jabbar) became nationally famous at the college level and carried their fans along i
27、n their professional basketball careers. The womens game changed radically in 1971 when separate rules for women were modified to more closely resemble the mens game. Television interest followed the women as well with broadcast of NCAA championship tourneys beginning in the early 1980s and the form
28、ation of the WNBA in 1997. Internationally, Italy has probably become the leading basketball nation outside of the United States, with national, corporate, and professional teams. The Olympics boosts basketball internationally and has also spurred the womens game by recognizing it as an Olympic even
29、t in 1976. Again, television coverage of the Olympics has been exceptionally important in drawing attention to international teams. The first professional mens basketball league in the United States was the National Basketball League (NBL), which debuted in 1898. Players were paid on a per-game basi
30、s, and this league and others were hurt by the poor quality of games and the ever-changing players on a team. After the Great Depression, a new NBL was organized in 1937, and the Basketball Association of America was organized in 1946. The two leagues came to agree that players had to be assigned to
31、 teams on a contract basis and that high standards had to govern the game; under these premises, the two joined to form the National Basketball Association (NBA) in 1949. A rival American Basketball Association (ABA) was inaugurated in 1967 and challenged the NBA for college talent and market share
32、for almost ten years. In 1976, this league disbanded, but four of its teams remained as NBA teams. Unification came just in time for major television support. Several womens professional leagues were attempted and failed, including the Womens Professional Basketball League (WBL) and the Womens World
33、 Basketball Association, before the WNBA debuted in 1997 with the support of the NBA. James Naismith, originally from Al-monte, Ontario, invented basketball at the International YMCA Training School in Springfield, Massachusetts, in 1891. The game was first played with peach baskets (hence the name)
34、 and a soccer ball and was intended to provide indoor exercise for football players. As a result, it was originally a rough sport. Although ten of Naismiths original thirteen rules remain, the game soon changed considerably, and the founder had little to do with its evolution. The first intercollegi
35、ate game was played in Minnesota in 1895, with nine players to a side and a final score of nine to three. A year later, the first five-man teams played at the University of Chicago. Baskets were now constructed of twine nets but it was not until 1906 that the bottom of the nets were open. In 1897, t
36、he dribble was first used, field goals became two points, foul shots one point, and the first professional game was played. A year later, the first professional league was started, in the East, while in 1900, the first intercollegiate league began. In 1910, in order to limit rough play, it was agree
37、d that four fouls would disqualify players, and glass backboards were used for the first time. Nonetheless, many rules still differed, depending upon where the games were played and whether professionals, collegians, or YMCA players were involved. College basketball was played from Texas to Wisconsi
38、n and throughout the East through the 1920s, but most teams played only in their own regions, which prevented a national game or audience from developing. Professional basketball was played almost exclusively in the East before the 1920s, except when a team would "barnstorm" into the Midwest to play
39、 local teams, often after a league had folded. Before the 1930s very few games, either professional or amateur, were played in facilities suitable for basketball or with a perfectly round ball. Some were played in arenas with chicken wire separating the players from fans, thus the word "cagers," oth
40、ers with posts in the middle of the floor and often with balconies overhanging the corners, limiting the areas from which shots could be taken. Until the late 1930s, all players used the two-hand set shot, and scores remained low. Basketball in the 1920s and 1930s became both more organized and more
41、 popular, although it still lagged far behind both baseball and college football. In the pros, five urban, ethnic teams excelled and played with almost no college graduates. They were the New York Original Celtics; the Cleveland Rosenblums, owned by Max Rosenblum; Eddie Gottliebs Philadelphia SPHAs
42、(South Philadelphia Hebrew Association); and two great black teams, the New York Renaissance Five and Abe Sapersteins Harlem Globetrotters, which was actually from Chicago. While these teams had some notable players, no superstars, such as Babe Ruth, Jack Dempsey, or Red Grange, emerged to capture t
43、he publics attention as they did in other sports of the period. The same was true in college basketball up until the late 1930s, with coaches dominating the game and its development. Walter "Doc" Meanwell at Wisconsin, Forrest "Phog" Allen at Kansas, Ward "Piggy" Lambert at Purdue, and Henry "Doc" C
44、arlson at Pittsburgh all made significant contributions to the games development: zone defenses, the weave, the passing game, and the fast break. In the decade preceding World War II, five events changed college basketball and allowed it to become a major spectator sport. In 1929, the rules committe
45、e reversed a decision that would have outlawed dribbling and slowed the game considerably. Five years later, promoter Edward "Ned" Irish staged the first intersectional twin bill in Madison Square Garden in New York City and attracted more than 16,000 fans. He demonstrated the appeal of major colleg
46、e ball and made New York its center. In December 1936, Hank Luisetti of Stanford revealed the virtues of the one-handed shot to an amazed Garden audience and became the first major collegiate star. Soon thereafter, Luisetti scored an incredible fifty points against Duquesne, thus ending the Easts de
47、votion to the set shot and encouraging a more open game. In consecutive years the center jump was eliminated after free throws and then after field goals, thus speeding up the game and allowing for more scoring. In 1938, Irish created the National Invitation Tournament (NIT) in the Garden to determi
48、ne a national champion. Although postseason tournaments had occurred before, the NIT was the first with major colleges from different regions and proved to be a great financial success. The National Collegiate Athletic Association (NCAA) created its own postseason tournament in 1939 but did not riva
49、l the NIT in prestige for some time. The 1940s saw significant changes for college basketball. Players began using the jump shot after Kenny Sailors of Wyoming wowed the East with it in 1943. The behind-the-back dribble and pass also appeared, as did exceptional big men. Bob Kurland at Oklahoma A&M
50、was almost seven feet tall and George Mikan at DePaul was six feet ten inches. While Kurland had perhaps the better college career and played in two Olympics, he chose not to play professional ball, whereas Mikan became the first dominant star in the pros. Their defensive play inspired the rule agai
51、nst goal tending (blocking a shot on its downward flight). Adolph Rupp, who played under Phog Allen, also coached the first of his many talented teams at Kentucky in that decade. However, in 1951, Rupp and six other coaches suffered through a point-shaving scandal that involved thirty-two players at
52、 seven colleges and seriously injured college basketball, particularly in New York, where four of the seven schools were located. While the game survived, the NCAA moved its tournament away from Madison Square Garden to different cities each year and the NITs prestige began to decline. Professional
53、basketball remained a disorganized and stodgy sport up until the late 1940s, with barnstorming still central to the game and most players still using the set shot. In 1946, however, hockey owners, led by Maurice Podoloff, created the Basketball Association of America (BAA) in the East to fill their
54、arenas, but few fans came, even after Joe Fulks of Philadelphia introduced the jump shot. The BAAs rival, the National Basketball League, had existed since the 1930s, had better players, like Mikan of the Minneapolis Lakers, Bob Davies of the Rochester Royals, and Dolph Shayes of the Syracuse Nation
55、als, but operated in much worse facilities and did not do much better at attracting audiences. In 1948, Podoloff lured the Lakers, Royals, and two other teams to the BAA and proposed a merger of the two leagues for the 1949–1950 season. The result was the National Basketball Association (NBA), with
56、Podoloff its first commissioner. The seventeen-team league struggled at first but soon reduced its size and gained stability, in large part because of Mikans appeal and Podoloffs skills. Despite the point-shaving scandal, college ball thrived in the 1950s, largely because it had prolific scorers and
57、 more great players than in any previous decade. Frank Selvy of Furman and Paul Arizin of Villanova both averaged over forty points early in the decade, while Clarence "Bevo" Francis of tiny Rio Grande College in Ohio amazed fans by scoring 116 points in one game while averaging 50 per game for a se
58、ason. The decade also witnessed some of the most talented and complete players ever. Tom Gola at LaSalle, Bill Russell at San Francisco, Wilt Chamberlain at Kansas, Elgin Baylor at Seattle, Jerry West at West Virginia, and Oscar Robertson at Cincinnati, all had phenomenal skills that have since been
59、 the measure of other players. And in 1960 one of the best teams ever, Ohio State, won the NCAA title led by Jerry Lucas and John Havlicek. Professional basketball underwent major changes in the 1950s that helped increase its popularity. In 1950, Earl Lloyd, from West Virginia, played for the Washin
60、gton Capitols and became the first African American to play in the NBA. In 1954, Danny Biasone, owner of the Syracuse Nationals, persuaded the NBA to institute the twenty-four-second shot clock, requiring a team to shoot within that time. This eliminated the slow pace that had long prevailed in the
61、pros and made the NBA more exciting. Teams now scored one hundred points a game regularly. The league also now awarded foul shots when the other team received more than five personal fouls a period, greatly reducing the rough play that had hurt the pro game. In 1956, Red Auerbach of the Boston Celti
62、cs made the best deal in NBA history when he acquired the draft rights to Bill Russell, the defensive player and rebounder he needed to complement Bob Cousy and Bill Sharman in the backcourt. With the addition of Russell, the Celtics became the best pro team ever, winning eleven of the next thirteen
63、 championship titles before expansion diluted the talent in the NBA. The St. Louis Hawks, with Bob Pettit, beat the Celtics in 1958, and the Philadelphia 76ers, with Chamberlain, beat them in 1967. But Russell, a player-coach for two titles, and his teammates formed the greatest dynasty in pro ball.
64、 Even the Los Angeles Lakers, who had moved from Minneapolis in 1960, with West and Baylor, were no match for the Celtics over these years. While West, Baylor, Chamberlain—who averaged over fifty points a game in 1962—and Oscar Robertson—who in the same year averaged a triple double per game in points, assists, and rebounds—were superior to any individual Celtic, no other team could consistently play defense, re-bound, and run with the Celtics.
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