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# 和数形结合思想解题 PowerPoint PPT Presentation

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k

1 y=kx(k0)

Ax1,y1)B x 2 ,y2 )x1y2 - 3x2y1

AB

kk

y=kx

AB

x2= - x1 , y2= - y1;

x1y2- 3x2y1

=x1(-y1)-3(- x1y1)

=2x1y1= -10.

2 y=kx(k0)

P,CPPB yB,BOC

y

B

P

o

x

C

P(x,y),C(- x , - y), B(0,y)

y=kx(k 0)

3 A,C

AB,CDxBD,ABCD

A,C A(x,y),C(-x, -y),

B(x,0),D(-x,0).

ABD=

BCD

ABCD

Y=k1x

A

Y=k2x

B

4 y=k1xy=k2x(k1k2)

AB

A(x1, B(x2, )

:

5

AB

A4.

PQP

A,B,P,Q24P

P

A

O

B

Q

P

A

O

B

E

F

Q

A(4,2)K=8P(x,y),xy=8

OPAQBPAO6,PAFO10

PAFE10.

xy=8,x,y

y

B

P

o

x

C

P

A

O

B

E

F

Q

6

6

- 6

-6

6

.()

x

Y=-x+3,

7

A. 3 B.2 C.1 D.0

8 OABC

DOABC

F

E

OABC

=OA OC

=2DF 2DE

=4DFDE

=4 2

=8

9

OABCABFBCEOEBF2k.

OB OABC,FAB,k

10 x>0)

1234.xy

=