内容正文:
书书书
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a2 =b2+c2,
#$%&
a2 =4,b2 =3,
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C
+,-./"
x2
4
+y
2
3
=1.
(2)mn
+0"10
,
2#"
:
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9
A(x1,y1),B(x1,-y1),P(x0,y0),
:;
x1≠x0,y1≠y0,x0≠m.
!"
kPA =kPM,'(
y1-y0
x1-x0
=
y0
x0-m
.
'(
x0-m=
(x1-x0)y0
y1-y0
,
'(
m=x0-
(x1-x0)y0
y1-y0
=
x0y1-x1y0
y1-y0
.
<2
,
3&
n=
x0y1+x1y0
y1+y0
.
'(
mn=
x0y1-x1y0
y1-y0
·
x0y1+x1y0
y1+y0
=
x20y
2
1-x
2
1y
2
0
y21-y
2
0
.
=
x20
4
+
y20
3
=1,
x21
4
+
y21
3
=1,
'(
x20 = (4 1-y
2
0 )3 ,x21 = (4 1-
y21 )3 .
'(
mn=
x20y
2
1-x
2
1y
2
0
y21-y
2
0
=
(4 1-y
2
0 )3 ·y21- (4 1-
y21 )3 ·y20
y21-y
2
0
=4
"10
.
20.(1)
!"
:
>?@A
,
1
2
= p
2
,
'(
p=1,
BCDE
C:x2 =2y.
#@A9FE
AB
+./"
y=kx+b(b>0).
#
x2 =2y,
y=kx+b{ ,GH yI2& x
2-2kx-2b=0.
JK Δ=4k2+8b>0.
9
A(x1,y1),B(x2,y2)(x1 >0,x2 <0),
L
x1x2 =-2b,
'(
→OA·→OB=x1x2+y1y2=x1x2+
x21x
2
2
4
=b2-2b.
#@A&
b2-2b=3,
%&
b=3
M
b=-1(
!"
).
'(FE
AB
+./"
y=kx+3,
BFE
AB
N1O
(0,3).
(2)
#
:
!"
y′=x,
'(
y′|x=x1=x1,y′|x=x2=x2,
B(
A
"PO+PE./"
y-y1 =x1(x-x1),
Q
y=x1x-y1,
(
B
"PO+PE./"
y-y2 =x2(x-x2),
Q
y=x2x-y2,
RS
y=x1x-y1,
y=x2x-y2
{
,
%&
y=
x1x2
2
.
=!"
x1x2 =-6,
'(TPEUO
P
+VW./"
y=-3.
!"*XYFE
y=-3
+Z["
3,
'(*\]OYFE
y=-3
+^_Z["
3-1
=2,
B
|PQ|
+^_0"
2.
21.
#
:(1)
#`a
,
t2
4
=4
b
t>0,
%&
t=4,
QO
M(4,4),
cdCDE
C2+./,&8p=16,'( p=2,
LCDE
C2+./" y
2 =4x.
(2)
eO (M t,t
2
)4 cdCDE C2+./,
&
p=t
3
32
,
9O
A(x1,y1),FEAM./"y=k1(x-t)+
t2
4
,
RS./
y=k1(x-t)+
t2
4
,
x2 =4y
{
,
GH
y,
fg&
x2-4k1x+4k1t-t
2 =0,
L Δ=16k21-4(4k1t-t
2
)=0,
%&
k1 =
t
2
,
hiFE
AM
+jk
k1 =
y1-
t2
4
x1-t
=
y1-
t2
4
y21
2p
-t
=
y1-
t2
4
16y21
t3
-t
= t
3
4(4y1+t
2
)
= t
2
,
%&
y1 =-
t2
8
,
QO (A t4,-t
2
)8 .
9O
B(x2,y2),FEBM./"y=k2(x-t)+
t2
4
,
RS./
y=k2(x-t)+
t2
4
,
y2 =2px
{
,
GH
x,
fg&
y2-2p
k2
y-2 (p t-t
2
4k)2 =0,
L Δ=
4p2
k22
+8 (p t-t
2
4k)2 =0,
cd
p=t
3
32
,
%&
k2 =
t
8
,
hiFE
BM
+jk"
k2=
y2-
t2
4
x2-t
=
x22
4
-t
2
4
x2-t
=
x2+t
4
= t
8
,
%&
x2 =-
t
2
,
QO (B - t2,t
2
)16 .
(|MB|= t+ t)2
2
(+ t
2
4
-t
2
)16槡
2
=3t
16
64+t槡
2
,
O
A
YFE
BM:y= t
8
x+t
2
8
,
Q
tx-8y+t2 =0
+Z["
d=
t2
4
+t2+t2
t2+槡 64
= 9t
2
4 t2+槡 64
,
B △MBAlm" S△M