Current location - Training Enrollment Network - Mathematics courses - Jianye district 20 12 Mathematical Model 27 How to calculate the third question and find out the detailed process.
Jianye district 20 12 Mathematical Model 27 How to calculate the third question and find out the detailed process.
Establish a plane rectangular coordinate system D-xy with D as the origin, DH as the X axis and DE steering wheel as the positive direction of the Y axis.

Then point coordinates: D (0,0), E (0,2), F( 1, 2), G(3 1), H (3,0), I( 1,-1).

Linear EJ equation: y=2x+2

Direct FG equation: y=- 1/2x+5/2.

Linear IH equation: y= 1/2x-3/2

A( 1/5, 12/5), B(-7/3, -8/3) and C(4, 1/2) are solved by three lines simultaneously.

Get |AB|=√( 1444/45),|AC|=√(36 1/20)。

∴s(⊿abc)= 1/2*|ab|*|ac|= 1/2*√( 1444/45)*√(36 1/20)= 1/2*36 1/ 15

∴ The paper utilization rate of this scheme = 6/(1/2 * 36115) =180/361.