2018年電大經濟數(shù)學基礎12期末復習重點資料考試小抄.doc

經濟數(shù)學基礎 12 期末復習資料一、單項選擇題1下列函數(shù)中為偶函數(shù)的是（ ） (A) (B) sinyx=2yx=+(C) (D) 2- cos正確答案：A2下列函數(shù)中為奇函數(shù)的是（ ） (A) (B) sinyx=1lnxy-=+(C) (D) e-+2正確答案：B3下列各函數(shù)對中， （ ）中的兩個函數(shù)相等A. 2(),()fxgx=B. 1,1f-+C. 2()ln,()lnfxgx=D. sico,()1=正確答案：D4下列結論中正確的是（ ） (A) 周期函數(shù)都是有界函數(shù)(B) 基本初等函數(shù)都是單調函數(shù)(C) 奇函數(shù)的圖形關于坐標原點對稱(D) 偶函數(shù)的圖形關于坐標原點對稱正確答案：C5下列極限存在的是（ ） A B 2lim1x01li2xC Dlisnx0liex正確答案：A6已知 ，當（ ）時， 為無()1sif=-)(xf窮小量A. B. C. D. 0xx正確答案：A7當 時，下列變量為無窮小量的是（ ）A B C Dln(1)x+2121ex-sin正確答案： D8函數(shù) 在 x = 0 處連12,(),xfxk續(xù)，則 k = ( )A-2 B-1 C1 D2 正確答案：B 9.曲線 在點 處的切線斜率是（ ） sinyx)0,(A) (B) (C) (D) 121-正確答案：D 10曲線 在點（0, 1）處的切線斜率為（ yx=+） 。A B C D212-3(1)x+3(1)x-+正確答案：B11若 ，則 （ ） ()cos2fx=()fA0 B1 C 4 D-4 正確答案：C 12下列函數(shù)在區(qū)間 上單調減少的是（ (,)） (A) (B) (C) (D) xcos2x-x22x正確答案：B 13下列結論正確的是（ ） (A) 若 ，則 必是 的極值點0()fx0x)(f(B) 使 不存在的點 ，一定是 的極值點x(C) 是 的極值點，且 存在，則必有0x)(f 0()f0()f(D) 是 的極值點，則 必是 的駐點x)(f0x)(f正確答案：C14設某商品的需求函數(shù)為 ，則當2()1epq-=時，需求彈性為（ ） 6p=A B3 C3 D5e- 2-正確答案：B15若函數(shù) ， 則1()xf-=()1,gx+( )2fg-A-2 B-1 C-1.5 D1.5正確答案：A16函數(shù) 的連續(xù)區(qū)間是（ ） 1ln()yx=-A B 2（ ， ） （ ， ） 2， ） （ ， ）C D1（ ， ） 1， ）正確答案：A17設 ，則 =（ ） ln()dxfc)(xfA B C Dxln21l-2ln正確答案：C18下列積分值為 0 的是（ ） A B-sindx1-ed2xC D1-e2x(cos)x正確答案：C19若 是 的一個原函數(shù)，則下列等式成立)(xFf的是( ) A dxafB ()()xaC baFfbD ()d()fxF正確答案：B20.設 ， ， 是單位矩陣，則(12)A=(13)B-I（ ） TI-A B 3526C D12635正確答案：A21.設 為同階方陣，則下列命題正確的是（ B,）.A.若 ，則必有 或 ABO=ABO=B.若 ，則必有 ,C.若秩 ,秩 ，則秩()()()D. 11-正確答案：B22當條件（ ）成立時， 元線性方程組n有解AXb=A. B. C. D. ()rn= = ()Cq980.536)q+20.5-令 =0，即 =0，得 =140， = -20.-1q2140（舍去） 。=140 是 在其定義域內的唯一駐點，且該問題q1C()確實存在最小值。所以 =140 是平均成本函數(shù) 的最小值點，即為1 q()使平均成本最低，每天產量應為 140 件. 此時的平均成本為= =176 （元/件） C()40980.536148已知某產品的銷售價格 （單位：元件）是銷p量 （單位：件）的函數(shù) ，而總成本為q2q-（單位：元） ，假設生產的產品全部售()105=+出，求產量為多少時，利潤最大？最大利潤是多少？ 解：由已知條件可得收入函數(shù) 2()40qRqp-利潤函數(shù)2()()(105)LCqq=-+23015-求導得 ()Lq令 得 ，它是唯一的極大值點，因此是最03=大值點 此時最大利潤為20(30)15430L即產量為 300 件時利潤最大最大利潤是 43500 元 9. 設生 產某種產品 個單位時的成本函數(shù)為：x（萬元）,求：當 時的總成2()106Cx=+10=本和平均成本；當產量 為多少時，平均成本最小？解：因為總成本、平均成本和邊際成本分別為：；2()106Cxx=+，所以， ；2()10， 106C 2()x令 ，得 （ 舍去） ，可以驗01x=0-證 是 的最小值點，所以當 時，平均成1x=)(Cx本最小10.設生產某產品的總成本函數(shù)為 (萬()5Cx=+元)，其中 為產量，單位：百噸銷售 百噸時的邊際x收入為 （萬元/百噸） ，求：利潤最大時()12R的產量；在利潤最大時的產量的基礎上再生產 百噸，1利潤會發(fā)生什么變化？解：因為邊際成本為 ，邊際利潤()Cx()102LxR令 ，得 可以驗證 為利潤函數(shù)05=5x的最大值點. 因此，當產量為 百噸時利潤最大. )(x當產量由 百噸增加至 百噸時，利潤改變量為6（萬元）6255(102)d(10)Lxx1=-即利潤將減少 1 萬元.11.某廠生產某種產品 q 件時的總成本函數(shù)為，單位銷售價格為2()4.()Cq元，問產量為多少時可使利潤最大？10.(p元 /件最大利潤是多少？解：設產量為 q，則收入函數(shù)為 2()(140.).014RqLC220.10q因為邊際利潤 時，利潤最大。()L則 ，得()0.41Lq250q產量為 250 時可使利潤最大 2max.513最大利潤為 1230 元請您刪除一下內容，O(_)O 謝謝！2015 年中央電大期末復習考試小抄大全，電大期末考試必備小抄，電大考試必過小抄請您刪除一下內容，O(_)O 謝謝！2015 年中央電大期末復習考試小抄大全，電大期末考試必備小抄，電大考試必過小抄The battle for young viewers CCTV is embracing Internet culture and working with independent producers on TV shows to woo audiences under 35. Han Bing bin reports. After charming audiences with his warm smile for 14 years, China Central Television host Li Jiaming recently found himself targeted by a group of young netizens unhappy with his style. The complaints came after Li hosted the premiere of Rising Star on Oct 31. It is a singing competition show that originated in Israel. Many young netizens found his hosting style slow and boring and mocked it as “CCTV evening gala style“. They even initiated an online campaign to replace him. The 40-year-old hosts reaction to the criticism was surprising. During the second episode, he jokingly called himself “the slow Jiaming“ and acted much younger, talking faster and louder. “Its like selling a product. When the customers file a complaint, you must change,“ says Li. “In the Internet age, you get feedback very quickly. These young people are so cute. When youre willing to change for them, they will quickly like you back.“ In order to win more young viewers, CCTV is relying on programs such as Rising Star to embrace Internet culture. In Rising Star, a studio audience and fans watching on television vote for their favorite singers in real time, using the instant-messaging app WeChat. Rising Star was designed to be a live broadcast, but the Chinese version isnt because of policy reasons. Still, WeChat votes by viewers at home are still a major factor in determining which contestants advance to the next round. In the shows latest episode, more than 6.5 million votes were cast via WeChat. “Now the competition among entertainment shows is very fierce. Audiences have more diverse needs. CCTV needs to embrace an open attitude, interact with young audiences and blend with the Internet,“ says Lyu Yitao, director of CCTVs entertainment channel. The producer of Rising Star, Enlight Media, says the program will have “a phenomenal effect“ given CCTVs audience base nationwide. “But it comes with a challenge,“ says Zhang Hang, chief producer of the program and CEO of Enlight Medias TV business. Unlike top-ranking provincial satellite channels such as Hunan TV, which have a large base of young fans thanks to a series of phenomenally popular entertainment and reality shows, CCTV productions are usually more conservative and serious, and thus have a much older audience base. “If we were to run this program on Hunan, we may attract twice as many viewers,“ says Zhang. “But since we didnt make it there, we now have to make the best out of the given conditions. And it means we have to make certain compromises.“ When the current season of Rising Star ends, Zhang says his company will conduct an overall evaluation of the program and make adjustments for future seasons. Although audience ratings havent lived up to Zhangs expectations, he says the program has already helped CCTV attract more young people. According to Enlight Media, the number of people ages 15 to 35 who watched the first episode of Rising Star was 76 percent higher than the usual audience for CCTV entertainment productions. In order to attract young audiences, CCTV has been working with independent production companies. As one of CCTVs closest partners, Enlight Media has produced several entertainment and reality shows for the companys channels, including the Chinese version of The Biggest Loser on CCTVs business channel and an original teenager talent show Shaonian Zhongguoqiang (Strong Young Chinese) on CCTV1. This year CCTV also licensed EE-Media, the producer of the popular Super Girl talent shows, to produce the talk show Hi! 2014, hosted by Taiwan pop star Harlem Yu and one of Chinas most popular TV stars Xie Na. The show is geared toward younger audiences. Canxing Productions, which rose to fame with the success of its Voice of China series on Zhejiang TV, also produced two talent shows for CCTV. One is an original production called Songs of China, which ended up as one of CCTVs most watched programs of 2014. The State Administration of Press, Publication, Radio, Film and Television announced earlier this year that, starting in 2015, only one music talent show can be aired nationwide during prime time each season, and there can be only one program based on foreign formats each year. However, domestic media report that such policies dont apply to CCTV, meaning it will become a highly desired platform by production companies. Wang Changtian, CEO of Enlight Media, confirmed to the Shanghai Securities News that its programs scheduled to air on CCTV next year, which include at least two reality shows, wont be affected. A kung fu-themed reality show, produced by Canxing, is also reportedly scheduled to run on