詳解2008年mba聯(lián)考數(shù)學(xué)真題（On 2008 the MBA entrance exam Zhenti mathematics）

1、詳解2008年mba聯(lián)考數(shù)學(xué)真題（On 2008 the MBA entrance exam Zhenti mathematics）Hua Hong teacher Zheng Jiajun 2008 MBA exam Zhenti detailed mathematicsHttp:/ 2008, 01, 21, 14:50, Huahong MBAHuahong teacher Zheng Jiajun Analysis 2008 MBA mathematics examModerator: you Sina users, good afternoon! Welcome to visit u

2、s at this time, Sina guests chat room, we Sina channel joint examination Huahong MBA for everyone comment on this years MBA test, we first introduce our guests, the first guest is especially Chengye teacher, is 101 grade teacher in high school, especially the teacher gave us the basic situation plea

3、se talk about mathematics.Zheng Jiajun: talk about the overall situation, a bit out of my math than this October contrary to expectation, it is much more difficult problem, although two questions together, but I think this problem is modified, this problem has been suspected in October, out of a few

4、 questions especially after you see and he has not come out, but this problem is made adjustments.Well, youre very different from the type of test and its difficulty, and from October. The subject is too difficult for us to say, but it is not the basic knowledge you usually have that can solve the p

5、roblem. The difficulty of the subject is much more difficult than that of October, but the concrete solution is that the method is not familiar to us.Moderator: Zheng, teacher, you just said that this years topic in mathematics, compared to previous years difficult, do you think it is difficult in w

6、here?Zheng Jiajun: Well, Im going to analyze this years questions.Lets say the first question. Lets see the question. What does it mean?. One plus three times the square of one plus three is so, then one plus three cubic, is always multiply, and the last one is plus three of the thirty-two, not the

7、twelve. Then add a 1/2, the 1/2 is very useful, not that he didnt come out.Here is the square of three multiplied by three, and multiply by three cubic meters. Some have changed the question online and changed it to the ten Party of three, so dont do it. I knew it was wrong, the results find the rig

8、ht topic we know this place, ride on, this solution, with what method do you look at this, every one is the form and give out ah, one plus three, plus a three square, as long as you give this Tim a reduction of three words is not the same, do not need to add other, a reduction of three, because you

9、add a reduction of three words is a reduction of three square, and then take a three square, square is poor, then take each square difference. Got it. You cant take it at will. You have to take one minus three. The numerator is two, you this this ride, this does not take not, your element two all ri

10、de, you denominator dont ride, in the end is not still wrong?.The problem has been solved. Theres no need for anything else. Heres the following one. Look at it. I dont move this part first. Im sure this part is negative Then you use the square difference formula, you are a cut sixty-four times thre

11、e, two times thirty-two, then this is minus one, see below, what is below, we sum from one to ten, it is fifty-five times three, multiplied by two minus three is a negative, negative two, then put a negative offset, this sign is not, then there is a 1/2, multiplied by nine times three, this is the a

12、nswer!Zheng Jiajun: actually, this method is very simple. Its not complicated enough for us to imagine. Choose D. 1/2 times the nine of three. The other is too complicated, and thats impossible.Zheng Jiajun: lets look at the second question. We talked about this problem.It says triangle, the three s

13、ide is a, B, C. Given an equilateral triangle, it satisfies the condition that the sum of a squares plus B squares plus C squares equals ab+bc+ca. Why, you draw this formula is equal to 1/2 times over (a-b) (B-C) + + square square square (C-A) =0.We have such a formula, in parentheses are three non

14、negative number, we launched a=b=c. Then the triangle three sides are equal, equilateral triangle.We told you about this question, and when you moved over, you lost 1/2. Its not difficult.Zheng Jiajun: the third question is an easy one to do wrong. Its not difficult either. Lets have a piece of pape

15、r together.A square question, a square, you dont have to do anything. Just look at it. You put this together, this, you see now is half of the original, Yibanyibanyiban down. Because what? Make sure the first one is the square of A. The second is the two point a square, which is what it says, P1, an

16、d it asks for p6. In fact, not sixth, is seventh, this can not be wrong,The second item is the square of the 2, the third is the square of the a square, and the fourth is the three party of the 2 a side, that is, the eight part of the a side of the. All the time, you dont have to ask. The seventh it

17、em is the 6 square a of 2. Then it is equal to 64 points a square, do not choose 32 points a side. So get busy, this is not sixth, its seventh. It is a geometric series, the ratio is 1/2. Here are third questions.Zheng Jiajun: the fourth question is too simple. 15 ah.90 people take part in English a

18、nd computer, then you subtract 8 from 65 persons, and the rest is to take the computer test and take the foreign language exam. Then you subtract 57 from the 72, and you get 15. The 15 only attended the computer test. This is subtraction. You can draw the following picture.Draw a collection, a circl

19、e, a circle, a public section, and then you mark it, you see it out. The picture will come out. You, for example, this is 65, the big 72. This is the public part, this part 8, you know. This child will know, it took only 15 minus 72. Its so simple, its an intersection of two. So theres nothing diffi

20、cult.Zheng Jiajun: Well, the fifth question. Is the solution of an equation.We can see the equation at a glance. Why? Take a look at the equation. The two root you saw a positive, a square root of three. It says, this triangle is an isosceles triangle, a side, a waist, and a bottom. You dont take on

21、e to two. This is the root 3.This is right angle, this is right angle, this is 1. How much did you do during the period? 2, 3, 1/2. Will not the area be over? You multiply 1/2 by root and 3 by 2. The original question is the equation. What else do you see?. The answer is C.I wonder how you are not s

22、ensitive to the Pythagorean number. Half of root 3. You dont pay attention to him. What do you expect him to do? This picture needs no painting. Dont look at it. Its difficult to see. You cant solve it.Zheng Jiajun: dont say any of these sixth questions. Take a taxi to and fro. Yes, how many times,

23、and how many times have you walked back and forth?. You add up the positive, add the negative, and get the minus one. It moved another kilometer to the west. This kind of question is the simplest. But the seventh question becomes very complicated.Zheng Jiajun: this seventh question. Given a graph, w

24、e say the shadow part of the area. Figure seventh must be finished. It asks for the area of the piece. How do you say this picture should be painted well?. Yes, this line must be connected. And then extend the area of the triangle is OK, this is 5, and this is also 5., because this is 10., this larg

25、e isosceles triangle, you can work out the area. This fan subtracts the area of the triangle, then this side is 5, the side is 5, and then this is a 1/4 circle.Subtract the triangle, and youll work it out. This question is over. Calculate sum. If you draw this line, the problem will be solved. If yo

26、u cant draw this line, youll wind yourself in. You think about that calculuss curved trapezoid. Its OK to take advanced mathematics.Support: Mr. Zheng is very detailed analysis, there is a candidate here to ask: can you subtract two squares area of two fan? ,Zheng Jiajun: yes. Two 1/4 area plus minu

27、s a rectangular area. This is the simplest, but can you find the law?. Thats a problem. Because the area of the triangle is equal to the area of the piece. You add this up and subtract this. In fact, the answer is the same. You cant choose E for this question. E yes, none of the above answers are co

28、rrect. You can only choose D.Zheng Jiajun: we say the eighth question is this 20% and 30% concentration of two solutions mixed together, you can first ignore it after the admixture of the concentration.This ratio is 2:3. That is to say the water content ratio is 2:3. that is to take it to take, the

29、high concentration of low concentration for less. It should be 2:3, thats 4:6. 200 and 300. You should choose E.Zheng Jiajun: the ninth question is simple, then you set the request and set the mixture at a price of X Yuan / kg.According to it, the total value is 200 yuan, divided by the unit price x

30、-3. That 480 divided by x+1. Draw the weight after dividing the unit price. These two add up to exactly 680 divided by X. The weight is equal to the equation of our order, the unit price is unequal. You multiply the points on both sides, multiply them, and simplify them. The answer is 17. Choose C.Z

31、heng Jiajun: I came here half an hour ago to get the title. Its impossible to finish this question in half an hour. 1.5 hours, you cant find the best solution.Zheng Jiajun: the tenth question is good.Answer 18, choose B.The sum of two right angles of a right triangle is 12, and the area must be 18.

32、equal sides. The isosceles right triangle has the largest area.Zheng Jiajun: Eleven questions. I cant read clearly what the problem is. (read a question). There should be no place to make (calculator). (north to North) make ordinary calculator, calculator functions let you make. By A1, n=1, n=2, n=3

33、, take the Sn, Sn-1 can also be turned into a recursive sequence, the recursive simplification came out.Zheng Jiajun: (read the 12 question) find a pair of axes, find a point, and then find the symmetry point.You got that intersection point, and that turned into two, you can get it out. Y and X exch

34、ange, a minus sign. This is ok. I told you this one can do that. The axis of symmetry is exactly the angular bisector of the 2 and 4 quadrants. So you change X to -y, y to -x, and you get the answer. You change X to -y, y to -x, plus 3y. Actually, x-3y+2=0. You should choose A.Zheng Jiajun: (read 13

35、 questions) first of all, the two row, the front row 6, and the back row 7. Two people can not be adjacent, and the two rows of the two people sit. (student statement). Its too complicated for you to do that. Lets see. First of all, how many species are there in the vicinity of the two?. Two people

36、including two adjacent exchange, have to throw away, a total of 8.So what is it actually? All seats should be C. The problem is dull. One is the front row, and there are only two adjacent to them. Non adjacent actually is. Both are in the back row, P72, and 7 in the two. Minus 12, this is both in th

37、e back row, both are in the front row, that is C42-2, this is the second category, the third is the front row, and the back row one. The front row can be C41, the back row is C71, and dont forget to multiply P22, who is in the front row, who is in the back row, and if you forget this, that number is

38、 28 times worse. The sum of the three. A combinatorial problem, a little thought, this would not count out. Isnt that too difficult?. 90, no answer. C71 times C41, multiply P22, this part is this, but C21 multiply by C21, multiply by P22. This is the front row. It doesnt throw.Zheng Jiajun: 14 questions, B.Zheng Jiajun: (read the title) this i