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Mathematical data of mathematical competition
10. Arranges a set of data in order from small to large (or from large to small). The middle number (when the number of data is odd) or the average value of two middle data (when the number of data is even) is called the median of this group of data. A set of data * * *, with 100 numbers, where the median and average of 15 numbers are between. If the median and average value of this set of data are not in the number 100, then the percentage of data in this set of data that is less than the average value is.

An isosceles triangle with an integer side length of 14 is divided into two parts: 1: 2, so the area of the smallest triangle among all these isosceles triangles is.

15. It is known that a, b and c are integers, and a-2b=4. Find the value of a+b+c b+c.

16. Boss Wang, who is engaged in clothing business, runs two stores, A and B. Each store can sell a total of 30 pieces of clothing in both styles at the same time. The gross profit of Store A is 30 yuan and 40 yuan respectively, and the gross profit of Store B is 27 yuan and 36 yuan respectively. One day, Boss Wang bought 35 A-type clothes and 25 B-type clothes. How to allocate 30 pieces of clothes to each store, so that under the premise of ensuring that the gross profit of store B is not lower than that of 950 yuan, the total gross profit of boss Wang is the largest? What is the maximum gross profit?

10: 35% or 65%

1 1:√ 10

12: 1003/2007

13:(√2)/2

14:3(√7)/4

15: a = 2b+4, substituted.

ab+c^2- 1=2b^2+4b+c^2- 1=0

The root formula c can only be 1.

Therefore, the values of a, b and c are:

(0、-2、 1)(0、-2、- 1)(4、0、 1)(4、0、- 1)

Get a+b+c=-1 or -3 or 5 or 3.

16: the maximum profit after solving the column equation 1944 yuan.

17: external angle and 360 degrees, side rotation 1 week, add up to two weeks.

Similarly, the answer to the second question is (a+b)/a.

18: It is easy to know that the vertex p is [-(m+ 1),-(m 2+3m)].

Let the parabola be y = ax 2+bx+c and substitute it into the identity.

Found a =-1, b = 1, c = 2.

So the vertex is on y =-x 2+x 2.

According to the meaning of the question,-m 2-m =1-m-1.

So m 2+2m = 0.

The solution is M = 0 or -2.