天津2020届高考数学一轮复习单元质检8解析几何含解析新人教A版

单元质检八 解析几何

.

x-y+=

x-y+=x-y+=

x-y-=x-y+=x-y+=

x-y-=.-

=

n

-

.

C =a>b>x-+y=

C

.Ax-+y=

y=-

x+x=

y=-

x+x=

y=

x+x=.Ⅱ

FF

C =a>b>A

C

P

A

eq

\o\ac(△,,) PFFFFP=

C .Ⅰ

C

-y=OF

C

FCMeq

\o\ac(△,N.) OMN|MN|=

.y=pxp> =a>b>ABABF.|AF|=

p=

.Cy=pxp>F

lAB

CAFB=

AB

M

M

l

N.

=

.

x-

=

m= ..

y=x =

..y=pxp>

Mmm>

-y=

A.AM

a= ..Cy=pxp>FMC.OFMC

p ..C =a>b>A

AbA

A

CMN.MAN=

C ..Ⅲ

M-Cy=x

CkCAB.AMB=k= .

.

xOy

A

ly=x-

C

l.Cy=x-

A

C

CM|MA|=|MO|

C

a..

C =a>b> eq

\o\ac(△,PF)F+

.

FFP

C

Tx-+y=

M

TEFEF..

Ⅲ

k

lC =

AB

AB

Mmm>.k<-

F

CP

C =..

=a>b>Fc.y=x

c=OcA

A-..

t>xOyF

lx=t

y=xxty.l

x

A

BPQ

AB.

tB

F

t=|FQ|=

OQFPAQP

t=FPFQFPEQ

E

P..

=a>b>FA

Ay=pxp>Fl.

lPQ

x

APBB

A

BQ

xeq

\o\ac(△,D.) APD

AP.

. x-y+m=m

=

m=

m=-.x-y+=

x-y-=.. m+nm-n>-m<n<m.m+n+m-n=

m=-<n<.. Cbx±ay=bx+ay=

c=a

e=

.. x=x-+y=

.ly=kx+

kx-y+=.

=.

=

k=-

.x=

y=-

x+.. ∵A-a eq

\o\ac(△,PF)F∴|PF|=|FF|=c.

P

PEx.∵FFP=

∴PFE=

.∴|FE|=c|PE|= c∴Pc c.=∵k

∴PAy=

x+a.=

∴ c=

c+a.∴e=

.. Fy=±

xNOF=MOF=

MON=

.OMN=|MN|= |OM|.|OF|=

eq

\o\ac(△,Rt) OMF|OM|=

= |MN|=..

e=

=

b=a =a>b>y=± x

y=pxp>

x=

p

x=

xA=xB=

p.|AF|=x

+ p+

=p=..

ABAQBPQP.|AF|=a|BF|=b

AFBF.|AF|=|AQ||BF|=|BP|.

ABPQ|MN|=|AQ|+|BP|=a+b.|AB|=a+b-ab

.∵

∴a+b-ab

=

.

.. a=b=

m>c= e=

m=.

. y=x =

x± y=

d=

=..

y=pxp>x=-

p=

M.

-y=

A-

AM

.

a=.. OFMO |OO|=|O

F|=|OM|O

OF O

O

O

.

p=

p=..

|OA|=a|AN|=|AM|=b.∵MAN=

∴|AP|=

b|OP|= .

C

=

.

.

.∴e=

a=b. ABx=my+

y-my-=.

AxyBxy

y+y=myy=-.=x+y-=my+y-=x+y-=my+y-.∵AMB=∴

=my+my++y-y-=m+yy+m-y+y+=-m++m-·m+=m-m+=.∴m=.∴k==..

C.

C

Cx-+y-=.

Cy=kx+

kx-y+=

=|k+|=

kk+=.

k=

k=-

.Cy=

y=-

x+

y=

x+y-=.

Cly=x-

Caa-

Cx-a+y-a-=.

Mxy|MA|=|MO|

=

x+y+=.

x+y+=

D

MCD

C

D

-

+

a

..

e=

a=bc=

b.eq

\o\ac(△,∵)

PFF+

∴a+c=+

∴a=b=.∴

C

+y=.MM

Tly=kx+.

y=kx+

T

k+k+=∴k+k=-kk=

.

+x+kx=∴x∴xE=-

.

xF=-

kEFkEF=

=

.

EF

..

AxyBxy

=

=.

=k

·k=.

=

=m

k=-

.

<m<

k<-.F.

Pxyx-y+x-y+x-y=.x=-x+x=y=-y+y=-m<.

P

C

m=

P

.

=

=-.-

.-x+x=.

. =

y=±x.y=x=

a=b.

c= =

a=b= . =.

AmnAOk=

Ocx+y=c①

n+n=c

n=cm=

c.

A

=

cb-ca=ab.

c=a+b

c-ca+a=.a

e-e+=

m=

n.

①

D

kPF=

=-

D

kPF=

=-

e=

e=.e>e= . ..

Bt |BF|=

.

Bt |BF|=t+.

F|FQ|=t=∴|FA|=∴|AQ|= ∴Q .

OQD∴

PFy=- x-.

x-x+=

x=

x=.eq

\o\ac(△,∴)

AQPS=.

P

E

.

kPF=

kFQ=

QF

y=

x-∴yQ=∴yQ=

-=

Q

.∵ ∴E

.∴

=

y=

.∴

FPFQFPEQ

E

P .

F-c.

.

=aa-c=

a=c=p=

b=a-c=

.x+

=y=x.APx=my+mlx=-

P

Q

.

x=my+

x+

=

xm+y+m