单项选择题
1.列函数中偶函数( ).
(A) (B)
(C) (D)
正确答案:A
2.列函数中奇函数( ).
(A) (B)
(C) (D)
正确答案:B
3.列函数中( )中两函数相等.
A
B
C
D
正确答案:D
4.列结中正确( ).
(A) 周期函数界函数
(B) 基初等函数单调函数
(C) 奇函数图形关坐标原点称
(D) 偶函数图形关坐标原点称
正确答案:C
5.列极限存( ).
A. B.
C. D.
正确答案:A
6.已知( )时穷量.
A B C D
正确答案:A
7.时列变量穷量( )
A. B. C. D.
正确答案: D
8.函数 x 0处连续k ( ).
A.2 B.1 C.1 D.2
正确答案:B
9曲线点处切线斜率( ).
(A) (B) (C) (D)
正确答案:D
10.曲线点(0 1)处切线斜率( )
A. B. C. D.
正确答案:B
11.( ).
A.0 B.1 C. 4 D.4
正确答案:C
12.列函数区间单调减少( ).
(A) (B) (C) (D)
正确答案:B
13.列结正确( ).
(A) 必极值点
(B) 存点定极值点
(C) 极值点存必
(D) 极值点必驻点
正确答案:C
14.设某商品需求函数时需求弹性( ).
A. B.-3 C.3 D.
正确答案:B
15.函数
( ).
A.2 B.1 C.15 D.15
正确答案:A
16.函数连续区间( ).
A. B.
C. D.
正确答案:A
17.设( ).
A. B. C. D.
正确答案:C
18.列积分值0( ).
A. B.
C. D.
正确答案:C
19.原函数列等式成立( ).
A.
B.
C.
D.
正确答案:B
20设单位矩阵=( ).
A. B.
C. D.
正确答案:A
21设阶方阵列命题正确( )
A必
B必
C秩秩秩
D
正确答案:B
22.条件( )成立时元线性方程组解.
A B C D
正确答案:D
23设线性方程组惟解相应齐次方程组( ).
A.解 B.0解 C.非0解 D.解确定
正确答案:B
24 设线性方程组增广矩阵
线性方程组般解中未知量数( ).
A.1 B.2 C.3 D.4
正确答案:B
25 线性方程组增广矩阵=( )时线性方程组解.
(A) (B) (C) (D)
正确答案:A
26 设( ).
(A) (B) (C) (D)
正确答案:D
27设线性方程组穷解充分必条件( ).
A. B.
C. D.
正确答案:B
28.设线性方程组唯解相应齐次方程组( ).
A.零解 B.非零解 C.解 D.解确定
正确答案:A
29设A矩阵B矩阵列运算中( )进行.
A.AB B.ABT C.A+B D.BAT
正确答案:A
30 设逆矩阵( )
A. B. C. D.
正确答案:C
31设需求量q价格p函数 需求弹性Ep( )
A. B
C D
正确答案:D
32穷积分中收敛( )
A B
C D
正确答案:C
33 设A3×4矩阵B5×2矩阵积矩阵意义C( )矩阵
A4×2 B 2×4 C 3×5 D 5×3
正确答案:B
34 线性方程组解情况( )
A解 B0解 C唯解 D穷解
正确答案:A
二填空题
1.函数定义域 .
正确答案:
2.函数定义域
正确答案:
3.函数 .
正确答案:
4.设函数图形关 称.
正确答案:y轴
5.已知需求函数收入函数
正确答案:
6. .
正确答案:1
7.已知连续 .
正确答案:2
8.曲线处切线斜率 .
正确答案:
9.曲线点(01)切线方程
正确答案:
10.函数驻点 .
正确答案:
11.设 时称矩阵.
正确答案:1
12.已知 时穷量.
正确答案:
13.齐次线性方程组()零解充分必条件 .
正确答案:
14.
正确答案:
15. .
正确答案:
16.设线性方程组
时方程组唯解.
正确答案:
17.设齐次线性方程组 r < n般解中未知量数等 .
正确答案:n – r
18.线性方程组增广矩阵化成阶梯形矩阵
时方程组穷解
正确答案:1
19 已知齐次线性方程组中矩阵 .
正确答案:3
20函数间断点 .
正确答案:
21
.
正确答案:
三微积分计算题
1.已知求.
解:导数运算法复合函数求导法
2.设求.
解
3.设求.
解:导数运算法复合函数求导法
4.设求.
解:导数运算法复合函数求导法
5.
解:
6.计算
解
7.计算
解
8.计算
解
9.计算
解
10.计算
解
11.
解
12.
解:
13.
=1
四代数计算题
1.设矩阵求.
解:
2.设矩阵3阶单位矩阵求.
解:矩阵减法运算
利初等行变换
3 设矩阵 A B 计算(AB)1.
解 AB
(AB I )
(AB)1
4解矩阵方程
解:
5.求线性方程组般解.
解:系数矩阵
般解(中元) 6.取值时线性方程组
解?求般解.
解 增广矩阵
0时线性方程组穷解般解:
未知量〕
五应题
1. 投产某产品固定成36(万元)边际成(万元百台)试求产量4百台增6百台时总成增量产量少时均成达低?
产量4百台增6百台时总成增量
(万元)
令解
2.已知某产品边际成(万元百台)产量(百台)固定成18(万元)求低均成.
解:总成函数
均成函数
令解(百台)
均成存值驻点唯产量300台时均成达低
低均成 (万元百台)
3.生产某产品边际成(万元百台)边际收入(万元百台)中x产量问(1) 产量少时利润?(2) 利润时产量生产2百台利润什变化?
解 (1)边际利润函数
令 (百台)
唯驻点根问题实际意义知存值值点产量10(百台)时利润.
(2)利润函数
利润时产量生产2百台利润减少20万元.
4.已知某产品边际成(元件)固定成0边际收益问产量少时利润?利润产量基础生产50件利润会发生什变化?
解:边际利润
令唯驻点该问题确实存值产量500件时利润
产量500件增加550件时利润改变量
利润减少25元
5设生产某产品总成函数 (万元)中x产量单位:百吨.销售x百吨时边际收入(万元百吨)求:(1) 利润时产量(2) 利润时产量基础生产1百吨利润会发生什变化?
解:(1) 边际成边际利润
令
该题实际意义知利润函数极值点值点 产量7百吨时利润
(2) 产量7百吨增加8百吨时利润改变量
(万元)
产量7百吨增加8百吨时利润减少1万元
6.设生产某种产品单位时成函数:(万元)求:⑴时总成均成 ⑵产量少时均成?
解:⑴总成均成边际成分:
⑵
令 (舍)验证值点时均成
7某厂天生产某种产品件成函数(元)均成低天产量应少?时件产品均成少?
解: ()
令00140 140(舍)
140定义域唯驻点该问题确实存值
140均成函数值点均成低天产量应140件
时均成
176 (元件)
8.已知某产品销售价格(单位:元/件)销量(单位:件)函数总成(单位:元)假设生产产品全部售出求产量少时利润?利润少?
解:已知条件收入函数
利润函数
求导
令唯极值点值点.
时利润
产量300件时利润.利润43500元.
9 设生产某种产品单位时成函数:(万元)求:⑴时总成均成⑵产量少时均成?
解:⑴总成均成边际成分:
⑵
令 (舍)验证值点时均成.
10设生产某产品总成函数 (万元)中产量单位:百吨.销售百吨时边际收入(万元百吨)求:⑴利润时产量⑵利润时产量基础生产百吨利润会发生什变化?
解:⑴边际成 边际利润
令验证利润函数值点 产量百吨时利润
⑵产量百吨增加百吨时利润改变量
(万元)
利润减少1万元
11某厂生产某种产品q件时总成函数
单位销售价格问产量少时利润?利润少?
解:设产量q收入函数
边际利润时利润
产量250时利润
利润1230元
请您删容O(∩_∩)O谢谢2015年中央电期末复考试抄全电期末考试必备抄电考试必抄After earning his spurs in the kitchens of The Westin The Sheraton Sens on the Bund and a sprinkling of other topnotch venues Simpson Lu fi nally got the chance to become his own boss in November 2010 Sort of The Shanghaiborn chef might not actually own California Pizza Kitchen (CPK) but he is in sole charge of both kitchen and frontof house at this Sinan Mansions'stalwart It’s certainly a responsibility to be the head chef and then to have to manage the rest of the restaurant as well the 31yearold tells Enjoy Shanghai In hotels for example these jobs are strictly demarcated so it’s a great opportunity to learn how a business operates across the board It was a task that management back in sunny California evidently felt he was ready for and a vote of confi dence from a company that to date has opened 250 outlets in 11 countries And for added pressure the Shanghai branch was also CPK’s China debut For sure it was a big step and unlike all their other Asia operations that are franchises they decided to manage it directly to begin with says Simpson Two years ago a private franchisee took over the lease but the links to CPK headquarters are still strong with a mainlandbased 'brand ambassador’ on hand to ensure the business adheres to its ethos of creating innovative hearthbaked pizzas a slice of PR blurb that Simpson insists lives up to the hype They are very innovative he says The problem with most fast food places is that they use the same sauce on every pizza and just change the toppings Every one of our 16 pizza sauces is a unique recipe that has been formulated to complement the toppings perfectly The largely local customer base evidently agrees and on Saturday and Sunday at least the place is teeming The kidseatforfree policy at weekends is undoubtedly a big draw as well as is the spacious secondfl oor layout overlooked by a canopy of green from Fuxing Park over the road The company is also focusing on increasing brand recognition and in recent years has taken part in outside events such as the regular California Week Still the sta are honest enough to admit that business could be better as good in fact as in CPK’s second outlet in the popular Kerry Parkside shopping mall in Pudong Sinan Mansions has really struggled to get the number of visitors that were envisaged when it first opened and it hasn’t been easy for any of the tenants here adds Simpson We’re planning a third outlet in the city in 2015 and we will probably choose a shopping mall again because of the better foot traffic The tearooms once frequented by Coco Chanel and Marcel Proust are upping sticks and coming to Shanghai Xu Junqian visits the Parisian outpost with sweet treats One thing the centuryold Parisian tearoom Angelina has shown is that legendary fashion designer Coco Chanel not only had style and glamor but also boasted great taste in food pastries in particular One of the most popular tearooms in Paris Angelina is famous for having once been frequented by celebrities such as Chanel and writer Marcel Proust Now Angelina has packed up its French ambience efficient service and beautiful comforting desserts and flown them to Shanghai At the flagship dinein and takeout space in Shanghai everything mimics the original tearoom designed from the beginning of the 20th century in Paris the height of Belle Epoque The paintings on the wall for example are exactly the same as the one that depicts the landscape of southern France the hometown of the owner and the small tables are intentional imitations of the ones that Coco Chanel once sat at every afternoon for hot chocolate The famous hot chocolate known as L’Africain is a luxurious mixture of four types of cocoa beans imported from Africa blended in Paris and then shipped to Shanghai It’s sinfully sweet rich and thick as if putting a bar of melting chocolate directly on the tongue and the fresh whipped cream on the side makes a light but equally gratifying contrast It is also sold in glass bottles as takeaway The signature MontBlanc chestnut cake consists of three parts the pureed chestnut on top the vanilla cream like stuffing and the meringue as base Get all three layers in one scoop not only for the different textures but also various flavors of sweetness The dessert has maintained its popularity for a century even in a country like France perhaps the world’s most competitive place for desserts A much overlooked pairing is the ParisNew York choux pastry and N226 chocolate flavored tea The choux pastry is a mouthful of airy pecanflavored whipped cream while the tea a blend of black teas from China and Ceylon cocoa and rose petals offers a more subtle fragrance of flowers and chocolate Ordering these two items featuring a muted sweetness makes it easier for you to fit into your little black dress Breakfast brunch lunch and light supper are also served at the tearoom a hub of many cultures and takes in a mix of different styles of French cuisines according to the management team The semicooked foie gras terrine is seductive and deceptive It’s generously served at the size and shape of a toast while the actual brioche toast is baked into a curved slice dipped with fig chutney The flavor however is honest strong smooth and sublime And you don’t actually need the toast for crunchiness This is the season for high teas with dainty cups of fine china and little pastries that appeal to both visual and physical appetites But there is one high tea with a difference and Pauline D Loh finds out just exactly why it is special Earl Grey tea and macarons are all very well for the crucial recuperative break inbetween intensive bouts of holiday season shopping And for those who prefer savory to sweet there is still the selection of classic Chinese snacks called dim sum to satisfy and satiate High tea is a meal to eat with eye and mouth an inbetween indulgence that should be light enough not to spoil dinner but sufficiently robust to take the edge off the hunger that strikes hours after lunch The afternoon tea special at ShangXi at the Four Seasons Hotel Pudong has just the right elements It is a pampering meal with touches of luxury that make the high tea session a treat in itself Whole baby abalones are braised and then topped on a shortcrust pastry shell a sort of Chinese version of the Western volauvent but classier Even classier is the dim sum staple shrimp dumpling or hargow upgraded with the addition of slivers of midnight dark truffles This is a master touch and chef Simon Choi who presides unchallenged at ShangXi has scored a winner again Sweet prawns and aromatic truffles — what’s not to love His masterful craftsmanship is exhibited in yet another pastry — a sweet pastry that is shaped to look like a walnut but which you can put straight into the mouth It crumbles immediately and the slightly sweet nutty morsel is so easy to eat you’ll probably reach straight for another My favorite is the dessert that goes by the name yangzhi ganlu or ambrosia from the gods The hotel calls it chilled mango cream with sago pomelo and bird’s nest – made with ingredients that resonate with every female soul It does taste like ambrosia with the sweetsour fragrance of the mango forming the first layer of taste and sensation and the pomelo sacs and sago pearls providing the tactile contrast The bird’s nest — it’s the ingredient that gilds the lily since it is supposed to nourish and nurture a perfect complexion For those unfamiliar with this exotic ingredient the bird’s nest is not a bundle of twigs but is instead the dried secretion that cave swifts use to build their nest Technically it’s bird saliva but the Chinese believe that it has collagenboosting properties essential to beauty To me it just tastes good adding a slight gelatinous crunch to the back of the teeth There is also a baked mushroom puff pastry that includes the highly prized Matsutake or pine mushroom You also get a choice of teas but I strongly recommend the aged Pu’er from Yunnan province It is a mellow tea that will go perfectly with the rich little nuggets and will warm you up on a cold afternoon Incidentally the general guide is green tea such as Longjing or Dragonwell for the hot season semifermented teas like Wulong or Iron Buddha for autumn and more warming teas like Pu’er for winter The ShangXi afternoon tea costs 228 yuan (37) per person and 388 yuan for the more opule
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