十年高考真题分类汇?2010-2019) 数学 专题10 立体几何 - 百度文库

ʮ߿ࣨ20102019ѧ

ר10弸

1.(2019㽭T4)敜ҹϱʱΰѧ,ġƼͬ,족Ϊ敜ԭ,øԭԵõʽV=Sh,Sĵ,hĸ.ijͼͼʾ(λ:cm),(λ:cm)( )

3

A.158 B.162 𰸡B

ͼøĸΪ6,οԿֱ϶,һϵΪ4,µΪ6,Ϊ3,һϵΪ2,µΪ6,Ϊ3,Ϊ

2+64+6

3+322

C.182 D.324

6=162.

2.(2019ȫ1T12)֪׶P-ABCĸO,PA=PB=PC,ABCDZ߳Ϊ2,E,FֱPA,ABе,CEF=90,OΪ( ) A.86 C.26 𰸡D

PA=PB=PC=2x. E,FֱΪPA,ABе, EFPB,EF=2PB=x. 1

1

B.46 D.6

ߡABCΪ߳Ϊ2ĵȱ, CF=3.

֡CEF=90,CE=3-??2,AE=PA=x. ڡAEC,Ҷ֪

??2+4-(3-??2)

cosEAC=22??.

12PDACڵD,PA=PC,

DΪACе,cosEAC=????=2??.

??2+4-3+??2

4??2

????1

=

1. 2??2

2x+1=2.x=2,x=2. PA=PB=PC=2. AB=BC=AC=2, PAPBPC. 2R=2+2+2=6. R=2. V=R=СѡD.

3.(2019ȫ2T7T7),Ϊƽ,ΦµijҪ( ) A.ֱƽ B.ֱཻƽ C.,ƽͬһֱ D.,´ֱͬһƽ 𰸡B

ƽеж֪,ֱཻƽСǡΦ¡ij.ƽе֪,ֱཻƽСǡΦ¡ıҪ,ѡB.

4.(2019ȫ3T8T8)ͼ,NΪABCD,ECDΪ,ƽECDƽABCD,M߶EDе,( ) A.BM=EN,ֱBM,ENֱཻ

4

33

12643668=6.

2

B.BMEN,ֱBM,ENֱཻ C.BM=EN,ֱBM,ENֱ D.BMEN,ֱBM,ENֱ 𰸡B

ͼ,BD,BE.

ڡBDE,NΪBDе,MΪDEе, BM,ENֱཻ,ųѡCD. EOCDڵO,ON. MFODڵF,BF.

ƽCDEƽABCD,ƽCDEƽABCD=CD,EO CD,EO?ƽCDE,EOƽABCD. ͬ,MFƽABCD.

MFBEONΪֱ. ABCDı߳Ϊ2,֪ EO=3,ON=1,MF=2,BF=22+4=2, EN=3+1=2,BM=+BMEN.ѡB.

5.(2019㽭T8)׶V-ABCĵ,ⳤ,PVAϵĵ(˵).ֱPBֱACɵĽΪ,ֱPBƽABCɵĽΪ,P-AC-BƽΪ,( ) A.<,< B.<,< C.<,< D.<,< 𰸡B

ͼGΪACе,VڵABCϵͶӰΪO,PڵABCϵͶӰD߶AO,DDEֱAE,׵PEVG,PPFACVGڵF,DDHAC,BGڵH,=BPF,=PBD,=PED,cos =Ԧ>.ѡB.

????

????34254395

=7,

=

????????=

????????<

????

=cos ,Ԧ>,Ϊ????tan =

????

????>

????

=tan ,????3

6.(2018ȫ3T10T12)A,B,C,Dͬһ뾶Ϊ4ĵ,ABCΪȱΪ93,׶D-ABCֵΪ( ) A.123 C.243 𰸡B

ɡABCΪȱΪ93,ABC߳Ϊa,S=2a2a=93.a=6,ABCԲ뾶r=23a=23<4. İ뾶Ϊ

133B.183 D.543

132

R,ͼ,OO1=??2-??2=42-(23)132

=2.DOϷ

ʱ,VD-ABC=SABC(R+|OO1|)=936=183,.ѡB.

7.(2018ȫ1T7T9)ijԲĸΪ2,ܳΪ16,ͼͼ.ԲϵĵMͼϵĶӦΪA,ԲϵĵNͼϵĶӦΪB,ڴԲ,MN·,·ijΪ( ) A.217 𰸡B

?е,ԲIJĸMC,չƽΪMCC'M',֪ͼʾ,֪NΪCD

CN=4CC'=4,MC=2,MN··ΪMN.

1

B.25 C.3 D.2

4

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