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.