电大高等数学期末考试复习试题资料


    电高等数学期末复资料参考抄
    1求函数定义域:1)含方根:开方数≥02)含分式:分母≠0
    含数:真数>0
    例: 1函数定义域   




    2函数应规律
    例:设求
    解:中表达式x+1等式右端表示x+1形式


    :令
    3判断两函数否相:定义域相应规律相
    例:1列函数中( B )中两函数相
    A B
    C D
    4判断函数奇偶性:偶函数奇函数
    根已知函数奇偶性利奇函数奇函数奇函数偶函
    数奇函数偶函数偶函数偶函数×偶函数奇函数×奇函数偶函数性质判断
    奇函数图关原点称偶函数图关y轴称
    例:列函数中( A )偶函数
    A. B.
    C. D.
    5穷量:极限零变量性质:穷量界变量积穷量
    例1) 时列变量穷量( B )
    Acosx Bln(1+x) Cx+1 D
    2) 0
    6函数点处极限存充条件左右极限存相等
    ( D )
    A1 B—1 C1 D存
    7极限计算:形
    例1)
    2)
    8导数意义:

    例:曲线处切线斜率      .
    解:
    9导数计算:复合函数求导原:外犹剥笋层层求导
    例1)设求.
    解:
    例2)设求dy

    10判断函数单调性:


    例:函数单调减少区间      

    11应题解题步骤:1)根题意建立函数关系式2)求出驻点(阶导数0点)3)根题意直接回答
    例1) 求曲线点点距离短.
      解:曲线点点距离公式

    点取值计算方便求值点代入



    令.验证值点解出曲线点点点距离短.
    2)某制罐厂生产种体积V盖圆柱形容器问容器底半径高少时料省?
      解:设容器底半径高表面积






    唯驻点时实际问题知底半径高时料省.
    12定积分原函数关系
    设 称函数原函数
    例1)原函数( B )
    A B C D
    解:
    2)已知 (答案:C)
    A B C D
    解:
    13性质:
    例1)( B ).
    A B C D
    例2)  +C
    14定积分计算:1)凑微分2)分部积分
    1) 常凑微分:

    例1)( B ).
    A B C D
    解:
    例2)计算.
    解:
    例3)计算.


    2) 分部积分常见类型:
    根分部积分公式计算
    例1)计算
    解:
    例2)计算定积分
    解:
    例3)计算

    15定积分牛顿莱布尼兹公式:设F(x)f(x)原函数
    例:原函数列等式成立( B )
    A B
    C D
    16奇偶函数称区间积分:
    奇函数
    偶函数
    例1):
    分析:奇函数0
    例2)
    分析:偶函数 :

    17定积分计算:1)凑微分2)分部积分
    定积分凑微分定积分计算相
    例1) 计算
    解:利凑微分法

    例2) 计算定积分
    解:利凑微分法

    定积分分部积分定积分计算基相:
    定积分分部积分公式:
    例1) 计算
    解:

    例2) 计算
    解:
    例3) 计算
    解:
    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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