1、 1 2 3,6,10,11 1,2,4,8,10,12,13,14 5,9 7 ( :30 ) 1. , ( ) , ( ) , ( C ) (A)18 (B)12 (C)9 (D)6 : ( ), , 3 , , V=3 3 =9 . C. 2.(2016 ) , ( C ) (A)48 (B)56 (C)64 (D)72 : , 2 4 5=40, 4 6 1=24, 2 64. C. 3.(2014 ) 1 , ( A ) (A)2 (B) (C)2 (D)1 : 1, 1, S=2 1 1=2 , A. 4.(2016 ) , 3, x ( D ) (A)2 (B) (C) (D)3
2、 : , , , 2 (1+2)=3, x, V= 3x=3, x=3. 5.(2014 ) 1, , ( D ) (A) (B)4 (C)2 (D) : , r= =1, V = 1 3 = . D. 6.(2016 ) , 1, , ( A ) 3 (A)6+4 +2 (B)8+4 (C)6+6 (D)6+2 +4 : PABCD, , S PAB=S PAD=S PDC= 2 2=2, S PBC= 2 2 sin 60 =2 , S ABCD=2 2=4 , 6+4 +2 . 7. 3 cm, 2 cm , 2 , , cm. : , ABCD( ), BC=3 cm,AB=4 cm,
3、 A C , AC . AC= =5 (cm), 5 cm. :5 8.(2015 ) ( :m), m 3 . 4 : . , 1, 1, 2. V=2 1 2 1+ 1 2 2= m 3 . : 9.(2015 ) , O , O . : 2a, V = a 2 a= a 3 ; R 2 =a 2 +( a-R) 2 , R= a, V = ( a) 3 = a 3 , . : 10. ( :m): (1) ; (2) . :(1) . 5 (2) , A1A,A1D1,A1B1 , AA1B1B , BE A1B1 E, AA1EB , AA1=BE=1, Rt BEB1 ,BE=1,E
4、B1=1, BB1= , S=S ABCD+ +2 + + =1+2 1+2 (1+2) 1+1 +1 =(7+ )(m 2 ). V= 1 2 1=(m 3 ), (7+ )m 2 , m 3 . ( :15 ) 11.(2015 ) , ( D ) (A)3 (B)4 (C)2 +4 (D)3 +4 : 1, 2 , S=2 1 2 + 1 2+2 2=3 +4. D. 12.(2015 ) , , , , ( = ) ( A ) 6 (A) (B) (C) (D) : 1, 2 , , , a, h, 0a ,0h2. = ,h=2- a. f(a)=V =a 2 h=2a 2 - a
5、3 , f (a)=4a-3 a 2 , f (a)=0 ,a= . f(a)max=f( )= . = = . A. 13.(2015 ) , cm 3 . 7 : , , 8 DABC , ABC , AB E, AB CE 4, AD ABC, AD=4, DABC V=S ABC AD= 4 4 4= . : 14.(2016 ) 20 cm 30 cm , , , . : , ABCA B C , O ,O , D,D BC,B C , DD BCC B , A B =20 cm,AB=30 cm, S =3 (20+30) DD =75DD . S +S = (20 2 +30 2
6、 )=325 (cm 2 ). S =S +S , 75DD =325 , DD = cm, O D = 20= (cm), OD= 30=5 (cm), 9 h=O O= = =4 (cm), , V=(S +S + ) = (325 + 20 30) =1 900(cm 3 ). 1 900 cm 3 . 5 1. , . , , . : . : , R, r, 10 , = , = , , , . :1 3 2.(2015 ) ABCA1B1C1 , , O , O 7 , ABCA1B1C1 . : . : , R, a,N,M , , O MN , OA=R. 4 R 2 =7 , OA=R= . AM= a,OM=a, Rt OAM , , a= , ( ) 2 =. :
