（参考答案+全解全析）第01章 空间几何体-学易试题君之单元测试君2019-2020学年高一数学人教版（必修2）

1 2019-2020 2 01 1 2 3 4 5 6 7 8 9 10 11 12 D D A D A B A A A A D C 1 D A B C D D 2 D D 3 A A A 4 D x y A'B'C' ABC AC=2AB D 5 A 2 2 3 2 3 3 S=4 3 2=12 A 6 B A A 2 B B C C D D B 7 A r l r=l=2 r=1 l=2 V r2l •12•2 =2 2 A 8 A PAC PAC PAC A 9 A 1l =1 2l 3 R 3 2 S 3 3 3 33 2 2 2 A 10 A 3 1 A 11 D ABCD AD BC AB BC AD=2 BC=4 AB=2 6 S 2 4 S A'B'C'D' 3 2 2 D 12 C PA=2 AB=2 AC=1 1 1 2 2 2 1 3 2 3 C 13 2 2 A'O'B'=45° O'A'B' O'A'=2 O'B'=A'B' 2 Rt O'A'B' S' 1 ' ' ' ' 2 O B A B 1 S' S ' 2 4 S S 4 S ' 2 4 S 2 2 2 2 14 15 r h r=h 2 2 h r r r 16 6+4 2 1 2 2 2 2 1 2 2 2 2 6+4 2 6+4 2 17 O C =h 2h C C D O A D C D 2 2 h 4 1 2 C D C B +O A =S 2 4 h C B +O A =S 6 5 S 1 2 •2h C B +O A =h C B +O A 4 2 S 2 2 S OABC 2 2 S 10 18 1 DEF DFP DEP EFP 3 DE=DF DPE= EPF= DPF=90° DEF DFP EFP DEP 6 2 1 Rt DAE AD=2a AE=a S DAE 1 2 2a×a=a2 Rt DCF CD=2a CF=a S DCF 1 2 2a×a=a2 9 Rt BEF BE=BF=a S BEF 1 2 a×a 1 2 a2 S DEF=S ABCD S DAE S DCF S BEF 23 2 a 12 19 r=x cm r'=4x cm h =4x cm h cm 4x 2+ 4x x 2=102 4 x>0 x=2 r'=8 cm 4 4 h x h x x h 16 3 x 32 3 S'= r'2=64 cm2 32 3 cm 12 20 x PCB POA 3 x PC R R PC 3 x CO 3 3R x 2 x S=4 2 24 6 4 6x x Rx = 4 4 6 x2+4 6Rx 6 x 6 2 6 2 R 6 S 26 6 6 5 R 12 21 1 2 z 3 12 22 8 3 31 4 48 1 1 8 8 3 3 4 12 1×1×4 12 2 1 1 1 4 1 4 48 12 4 8 34 408 48 12 56 cm 3 3 12 7 $$ 1 2019-2020 2 01 1 2 3 4 5 6 7 8 9 10 11 12 D D A D A B A A A A D C 13 2 2 14 15 16 6+4 2 17 O C =h 2h C C D O A D C D 2 2 h 4 1 2 C D C B +O A =S 2 4 h C B +O A =S 6 S 1 2 •2h C B +O A =h C B +O A 4 2 S 2 2 S OABC 2 2 S 10 18 1 DEF DFP DEP EFP 3 DE=DF DPE= EPF= DPF=90° DEF DFP EFP DEP 6 2 1 Rt DAE AD=2a AE=a S DAE 1 2 2a×a=a2 Rt DCF CD=2a CF=a S DCF 1 2 2a×a=a2 9 Rt BEF BE=BF=a S BEF 1 2 a×a 1 2 a2 S DEF=S ABCD S DAE S DCF S BEF 23 2 a 12 19 r=x cm r'=4x cm h =4x cm 2 h cm 4x 2+ 4x x 2=102 4 x>0 x=2 r'=8 cm 4 4 h x h x x h 16 3 x 32 3 S'= r'2=64 cm2 32 3 cm 12 20 x PCB POA 3 x PC R R PC 3 x CO 3 3R x 2 x S=4 2 24 6 4 6x x Rx = 4 4 6 x2+4 6Rx 6 x 6 2 6 2 R S 26 6 6 5 R 12 21 1 2 z 3 3 12 22 8 3 31 4 48 1 1 8 8