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20 15 mathematical two-mode Zhabei
(1) substitute A(- 1, m) into y=-2x,

Get m=-2? 1=2,

That is, the coordinates of point A are: (-1, 2),

∫S△ABP = 12PB? Associated press,

∴2= 12PB×2,

∴PB=2,

∴ point b (1, 0);

Let the analytical formula of straight line AB be y=kx+b(k≠0),

Substitute the coordinates of point A and point B into 0 = k+B2 =? k+b,

Solution: k =? 1b= 1,

Therefore, the analytical formula of straight line AB is y =-x+1;

(2)∵ Points A (- 1, 2) and B (1, 0),

∴OA=5,AB = 22。 As shown in the figure:

When the point C is on the positive semi-axis of the X axis,

∠∠ACO =∠BAO,∠AOC=∠BOA,

∴△OAC∽△OBA,

∴OAOC=OBOA,

∴5OC= 15,

∴OC=5,

That is, point c1(5,0);

When the point C is on the negative semi-axis of the X axis,

∠∠ACO =∠BAO,∠ABC=∠OBA,

∴△ABO∽△CBA,

∴ABCB=OBAB,

∴8CB= 18,

∴CB=8,

That is, point C2 (-7,0).

To sum up, the coordinates of point C are: (5,0), (-7,0).