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1 100 BI TON ÔN LUYN ĐI HC (THEO CHƯƠNG TRI ̀ NH MƠ ́ I) CH Đ HNH HC KHÔNG GIAN **************** 1: Cho . , AC = b , 0 C 60 . () 0 30 . 1/ 2/ . 2: c ABC. ,B,C. 0 60 . 1/ . 2/C/ . 3/ xq S . 3: . 4: .ABCD. 1/= ,. 2/ . T. 5: .ABC. 1/= =l ,. 2/= ,. 2 6: 2a, , 0 30 . . 7: . 1/ xq tp S va S . 2/ . 3/ . 8: R3 . 2 2 0 30 . 1/ xq tp S va S . 2/ . 9: . 1/ xq tp S va S . 2/ . 10: a . 1/ . 2/. 3/ . 11: ,y 0 60 . 1/ . 3 2/ 3/ . 12: = y R. , = x (0<x<h). 1/ () . 2/ () theo R , . ? 13: . , . 1/ . 2/ tan . 14: = . . 1/ . 2/ xq S . 3/ tp S . 15: . , () . xq S . 4 16: . . (ABC) .Cho 0 BAA' 45 . 1/C/ . 2/ xq S . 17: . ASB . 1/ xq S . 2/C/m r : 2 a cot 1 22 3/ . 5 S,A,B,C,D. 18: t . , 0 60 .. 19: . cân ,AB=AC=5a ,BC =6a , 0 60 .. 20: . . . AD SB, AE SC .=a, BC=b,SA=c. 1/.ADE. 2/ (SAB) . 5 21: 1 1 1 . 22: . AB =a,BC =2a ,=a. AM =3MD. 1/ 2/ 23: =a,BC =b ,=c.,N . .DMN 24: Cho 2 , .=h, AB =a, CD = 2 0 60 .. 25: .(H) . ABCD V(H) V . 26: . 27: . 28: . 29: .ABC. ,SB, 3 , , .C/m : S.A'B'C' S.ABC V SA' SB' SC' . . . V SA SB SC 6 30: . =a .,SB, 0 60 .. 31: .ABC =5a ,BC=6a ,CA=7a. SAB,SBC, 0 60 . . 32: . , =a ,AD=b, SA =c. , ,SD sao cho AB' SB,AD' SD . () .. B33: .ABCD , , 0 60 . . , . S.AEMF. 34: . . 1/ . 2/ ABC , F. 35: ... , . 1/ . 2/ (DMN) 2 .(H) ,() . (H) (H') V V 7 36: . =a , AB =BC =a. , ABC . 1/ .ABC. 2/C/m : SC mp( AB'C') . 3/ 37: . = 2a , ABC =2a, 0 CAB 30 ., . 1/ .ABC. 2/C/m : AH SB SB mp(AHK) . 3/ .AHK. 38: . =a ,BC =2a ,=3a . (P) . 1/ 2/C/m : AN A'B . 3/ . 4/ AMN S . 39: . 2a , , AB =a, AC a 3 (ABC) . . 2 8 40: C . 2a ,SA=a , SB a 3 (SAB) ., ,BC . . 2 ,DN. i 41: . ,AB=BC=a, AA' a 2 . . . 2 42: . , .,N, ,BC,CD.C/m : AM BP . 43: . . , , . C/m : MN BD 2 . 44: . , 0 ABC BAD 90 , BA=BC=a ,AD =2a. SA a 2 . . C/m SCD vuông d H;(SCD) . 45: 2 , . , = 2a .. 9 46: . =a , AD a 2 ,SA= SA mp(ABCD) . M, SC . . 1/Cmr: mp(SAC) mp(SMB) 2/ . 47: . , SA =2a SA mp(ABC) ., .A.BCMN. 48: . , qua 2 1 0 60 .. 49: 1 ; 1 .. i 50: Cho 1 . = 1 1 . . 51: 1 1 . . 52: .ABC c , = a . . . 1/C/ . 2/. 10 53: . 1 . . xq S . 54: .ABC . , 1 . 0 A 90 , 0 B 60 , =a. xq S . 55: . 1 =AC = A2 . 3 ,B, ( ABC) . xq S . 56: . 1 . ,A, (ABC) 1 1 .. 57: . ông , . ASB = 2 00 0 45 . xq S . 58: .. =AC = 0 120 . . xq S . 59: .A . 1 100 BI TON ÔN LUYN ĐI HC (THEO CHƯƠNG TRI ̀ NH MƠ ́ I) CH Đ HNH HC KHÔNG GIAN **************** 1:. 1/ () . 2/ () theo R , . ? 13: . , . . . 74: Trong mp(P) cho 1 1 =h . ,C
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