高考數(shù)學(xué)一輪復(fù)習(xí)單元檢測八立體幾何與空間向量單元檢測解析版

R

R

ABCDEF

ABCD

EFABEF

EF

ABCD

ABCDGH

EGGHEH

ABCDABCDDADCDC

AD

DC

CDBCBDCDBC

DADCDCADDDCD

BCBDCDBCBDCDBC

ADBCAD

DCBCDCBDCBC

BDDBCD C

AD

DC

αβmab

αβma

α

amb

β

α

β

θ

a

β

θabθ θθθθθθθ

θθθθθθθ θθ θθ

θθ

r

r

θ

θ

θ S

α

α θθbmθθb

mθθθθ

r

α

αθ

ABAC

SABCOSA

ABCABAC

SBCA

O

BCD

ADSD

ADSDASBCASBCASAABACBC CAB

CABCAB

ABCCABr CAB

BC

SASA

rR

R

SABCR

OR

PABCPAABCBACDE

BCABABAC

ACAD

PC

DE

αPD

ABC

β

PBCA

γ αβγ αγββαγ

γβα PCA PCAα PDAβ

PA

ABCα β PA PAAC AD

ACAD

βα

βα

A

AQBCQ

PQPQAγγβαβγ

PABCD

ABCD

AP

ABCDABAP

MBC

AMeq

\o\ac(△,MD) PMDBC

BMxMCy

BCADxyPAABCDMD

ABCDPAMD

AMMDPAAMAPAAM

PAMMDPAM

PM

PAMMDPM

AM

xMD

y

AMDAMMDAD

xyxy

xy

PMDPM

xMD

y

xx xeq

\o\ac(△,S) PMD

PMMD

x

xx

xx

BC

BCxy

xx

x

y

AMMDAMMD

ax

PM

AMMDAMMD

ax

PMMDaxxPMMDeq

\o\ac(△,S) PMD

PMMDyzBCaMx,x

ABCa,Da,P

x,ax,axxx

xx

ax

xx

xx xxBC

xx

BC

x

α β γ

α β γPABPACPBCαβγ αβγαβγαβγ

QABC

αβ

αβγ

αβγ

αβγ

α β γ

APD

PD

APD

BC

D

PDAD

APPBCAPD PA

APD

Q

AQP

PBCαβγ

7＝

ABC

ACBCAB req

\o\ac(△,O) ABCRD

AB

OO

ABC

ACDA

ACDA

A

A

OC

OCOr

r

BC

ABC R

R

r S

ABCDABCDABADAABADBAADAAACACACCCABADAAACACACCCABADAAACABADAAABADAAABADABAAADAA

AC

AC

BAADAAA

ABCDAC

ACCAABCDABADAA SABCM

SCAMSBAB

SABC SBAC

SBAMAMACAAMAC

SAC

SB

SAC

SBSASBSCSABC

AB

SASBSCSABC

SASBSC

R

SASBSC

R

R

SABC

AC

SASBSCABBCE

SC

AC

BE

AC

SAB

SAMMEBMMEBE

ACMEBE

ME

BMBE

MEBEMBMEB

AC

BE

AC

BE

SB

N

ANSBCNSB

ANCNNANCN

ACN

SB

ACNSABACN

ACSABCAN

ANCNAC

CAN

ACSABABCDEABBCBECDABCEBCMBECD

DE

MABCM

，則點

MABC

ABCD

ABCABBCABC

eq

\o\ac(△,S)

ABC

ABBCABC

M

ABCh eq

\o\ac(△,S) ABCh

eq

\o\ac(△,S) ABCh

h

MFBC

FMNABC

NFN

BC

MNF

NFBCMFNABCD

E

ESBC

S

D

DTBCT

ESBE

MFESDT MF

ABCDθ

θ

MFESDT MF

ABCDθ

θMFN

MN

MNh

MFN

eq

\o\ac(△,A)BC

Aα

BC

α

BC

BCα

BBCC

CBACC

eq

\o\ac(△,φ) ABCAφ AACABxy

mn

mn

m

mn

mn

m

cn

n

mn

m

φb

m

m

b＋m＝c＋nbmcn

φ

φ

φ

ABCABC

ACBCABAA

D

ABACBCACCDB ABCABCCC

ABC

AC

ABCCCACACBCABACBCABACBCCCBC

BBCCCCBCCACBBCC

BC

BBCCACBC

AB

DCDDD

ADADDB

ADDB

ADBDADDBAD

CDBDB

CDBAD

CDBCCDD

CCDD

CCDDCDCDCD

CDBCD

CDBCD

CDBADCDDADCD

ACD

ACD

CDB

AC

ACDAC

CDB

PABCDADPDCADBCPDPBADBCCDPDPDCADPD

PDAAPPDCADPD

PDAAP

ADPD

DAP

PDPBCABPBC

ADBCDAPAP

BC

ADAD AP AP

BC

ADPDC

PD

PDC

ADPD

BCAD

PDBC

PDPBBCPB

PBCBCPBB

PD

PBC

D

ABBC

F

PF，則

DF

PBCAB

PBC

PD

PBC

PF

DF

PBCDFPDF

PBC

ADBCDFAB

BFAD

CFBCBF

ADDC

BCDC

DCFDF

CDCF

DPFDFP AB

PBC

PDDF

PABCD

ABCDADCBCDBCCD

PDPDAPAD

ABCD

PAAD

PA PMPAMMBCD

B

BOCD

AD

O

PO

ADBOPDOPDDOPDA

POADPOBOOPOBO

POBADPOBPB

POBADPB MM

ADPO

N

BN

MNBC

MBC

BCDBC

NBO

NOAD

NBO

NOBCAD

BC

POB

BN

POBBNBC

OBCDOBBCNBOMBCD

OB

NOPNPONO

PA

PO

PA

PO

ABCDABCDABBCAAEF

ABBC

AE

BF

AE

BCCB

ADH

AHHEHF

HF

ADBCABCD

HFAB

HFAB

ABHF

ABHF

ABFH

BFAH

BFAH

AE

BFAE

AHAE

HE

AH

HAEAE

BFBCCBADDA

AEBCCBAE

ADDAEAAEAA

AEBCCB

PABCD

ABCD

PAD

ABCDPAD

PC

M

PCFP PAFP AF

F

PA

DM

FBD

AC

BD

E

MEABCD

E

AC

M

PC

PAME

PA

MBDEM

MBD

PA

MBD

ADO

POAD

PAD

ABCDPADABCDADPO

PADPO

ABCDOC

POCOC

PCPO

ODCDC

OCDO

y zOOA

OE

OPx

y zBDCP

MP

M

B