The image of 1 linear function y=-2x+4 is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
2 Given that point A (3 3,0 0) B (0 0,3) C (1,m) is on the same straight line, then m = _ _ _-2 _ _ _
3 Let the image of linear function y=kx+b pass through point A (2,-1) and point B, where b is the intersection of straight line y= negative half +3 and Y axis, then the analytical formula is _ _ y =-2x+3 _ _ _.
4 Assume that the ground temperature is 30℃. If the temperature drops by 6℃ per 1KM, please write the relationship between the temperature T℃ and the height h (cm) _ h =-6h+30 _ _ _ _ _.
5 the image of the linear function y=kx+b is parallel to the straight line y=-3x, and the expression of this linear function is _ _ _ y =-3x+5 _ _ _
6 it is known that both (-3, y①) and (2, Y2) are on the image of linear function y=-2x+ 1, then the size relation of Y 1Y2 is _ _ y ① >; y②_ _ _ _ _ _ _ _ _ _
Second, solve the problem.
1 Images with known linear functions y= one-third X+M and y= negative one-half X+N pass through point A (-2,0) and Y axis respectively, and intersect with the bright spot of B C to find the area of △AVC (writing problem solving process).
Solution:
Substituting a (-2,0) into y= one-third X+M and y= negative one-half X+N, we get.
Y= 3/2 X-3, y = negative 1/2 X+ 1.
So, how do you find their intersections with the Y axis B(0, -3) C(0, 1)?
S△AVC=( 1-(-3))*2/2=4
2 It is known that the analytical expression of the straight line L 1L2 is y=K 1x+3 y=K2X-2, where the intersection of L 1 and the X axis is the intersection of A (two thirds, 0)L 1 and L2 B( 1, a).
(1) obtained the analytical expressions of L 1 and L2 respectively.
Substitute (three-thirds, 0) into y=K 1x+3 to get K 1=-2.
Substitute the intersection B( 1, a) of L 1 and L2 into y=-2x+3 to get a= 1.
Substitute (1, 1) into y=K2X-2 to get K2=3.
So L 1:y=-2x+3 L2:y=3X-2.
(2) Find the area of the triangle surrounded by L 1L2 and X axis.
Then, the intersection of L 1 and X axis is A (two thirds, 0), and the intersection of L 1 and L2 is B( 1, 1), so the intersection of L2 and X axis is (two thirds, 0), so S= (two thirds.