KIM TRA TIT Mụn: HèNH 12 TRNG THPT NG HềA B im H v tờn: .Lp:12A Chn ỏp ỏn ỳng cho mi cõu Cõu ap an Cõu 11 12 13 14 ap an 10 15 16 17 18 19 20 r r r r r r r Cõu 1: Cho vect a = (1;- 2;3),b = (- 2;3;4),c = (- 3;2;1) To ca vect nu = 2a - 4b - c l: u r u r u r u r A n = (13;- 18;- 11) B n = (- 13;18;11) C n = (13;- 18;11) D n = (13;18;- 11) Cõu 2: Gúc gia hai vộc t a = (1; 0; 1), b = (1; 1; 0) l A 600 B 1200 C 900 D 1350 Cõu Gi ( ) l mt phng ct ba trc ta ti im M (8; 0; 0), N(0; -2; 0) , P(0; 0; 4) Phng trỡnh ca mt phng ( ) l? A x y z + + = B x y z + + = C x 4y + 2z = D x 4y + 2z = Cõu 4: Khong cỏch gia hai mt phng ( P ) : 2x + y + 2z = 0v ( Q ) : 2x + y + 2z + = l : A B C D Cõu 5: Cho I (4; 1; 2), A(1; 2; 4) , phng trỡnh mt cu (S) cú tõm I v i qua A l: A ( x 4) + ( y 1) + ( z ) = 46 2 C ( x 4) + ( y + 1) + ( z 2) = 46 B ( x 1) + ( y + ) + ( z + ) = 46 2 D ( x 4) + ( y + 1) + ( z 2) = 46 Cõu 6: Phng trỡnh mt cu x + y + z x + 10 y = cú tõm I v bỏn kớnh R ln lt l: A.I(4 ; -5 ; 4), R = B I(4 ; -5 ; 4), R = 57 C I(4 ; ; 0), R = D I(4 ; -5 ; 0), R = Cõu 7: Tỡm tt c m phng trỡnh sau l pt mt cu : x + y + z2 2(m + 2) x + 4my 2mz + 5m + = A m < hoc m > B m > C Khụng tn ti m D < m < Cõu 8: Cho mt phng (P) cú phng trỡnh x + y z = im no sau õy khụng thuc mt phng (P)? A M ( 1;1;0 ) B N ( 2;1; ) C P ( 1;1; ) D Q ( 2;3; ) Cõu 9: Phng trỡnh mt cu (S) cú ng kớnh BC , vi B( 0;-1;3 ) ; C( -1;0;-2 ) l: A x + ( y + 1) + ( z 3) 2 2 2 27 = 2 27 B x + + y + + z = 27 C x + y + z + = 2 D x + + y + + z = 27 Cõu 10: Cho t din ABCD cú A(3; -2; 1), B(-4; 0; 3), C(1; 4; -3), D(2; 3; 5) Phng trỡnh tng quỏt ca mp cha AC v song song BD l: A 12x 10y 21z 35 = B 12x 10y + 21z 35 = C 12x + 10y + 21z + 35 = D 12x + 10y 21z + 35 = Cõu 11: PTTQ ca mp qua hai im A(2; -1; 1), B(-2; 1; -1) v vuụng gúc mp (P): 3x + 2y z + = l: A x + 5y + 7z = B x 5y + 7z + = C x 5y 7z = D x + 5y 7z = Cõu 12: Cho mt cu (S): x + y + z 2x 4y 6z = v mt phng (P): 4x + 3y 12z + 10 = Vit phng trỡnh mt phng (Q) // (P) v tip xỳc vi mt cu (S) A 4x + 3y 12z + 78 = hoc 4x + 3y 12z 26 = B 4x + 3y 12z 78 = hoc 4x + 3y 12z + 26 = C 4x + 3y 12z + 62 = hoc 4x + 3y 12z 20 = D 4x + 3y 12z 62 = hoc 4x + 3y 12z + 20 = Cõu 13 Xỏc nh giỏ tr ca m mt phng (P) : x + my + 2mz = v mt phng (Q): x y z 10 = vuụng gúc? A m=4 B m = C m = D m = Cõu 14: Hóy lp phng trỡnh mt cu tõm I (2;1;- 4) v tip xỳc vi mt phng (P ) : x - 2y + 2z - = ? A x2 + y2 + z2 + 4x + 2y + 8z - = B x2 + y2 + z2 + 4x - 2y + 8z - = C x2 + y2 + z2 + 4x + 2y - 8z - = D x2 + y2 + z2 - 4x - 2y + 8z - = Cõu 15 Cho mt phng (P) : x y + z = v mt cu (S): ( x 1) + ( y ) + ( z + 1) = , bit mt phng (P) ct mt cu (S) theo thit din l mt hỡnh trũn Tớnh bỏn kớnh r ca hỡnh trũn thit din? A r=2 B r = C r = D r = Cõu 16:Cho B( 1;1;2) , A( 0;1;1) , C(1; 0; ) Phỏt biu no sau õy ỳng nht: A ABC vuụng ti A B ABC vuụng ti B C ABC vuụng ti C D A, B, C thng hng Cõu 17: Trong khụng gian vi h ta Oxyz, cho ba im A(2; 2;1), B(2;0;1), C(0;1;2) Tỡm ta ca im M thuc mt phng (): 2x + 2y + z = cho M cỏch u im A, B, C A (2; 1; 3) B (2; 5; 7) C (2; 3; 7) D (1; 2; 5) Cõu 18 Phng trỡnh mt cu i qua hai im A(1; 3; 0) v B(4; 0; 0) bit tõm mt cu nm trờn Ox l? A B C D Cõu 19: Khong cỏch t M(1;-2;3) n mp(P): x 2y 2z = bng : A d = B d = C d = D d = Cõu 20: Trong khụng gian vi h ta Oxyz, mt phng (P) qua im A(1,0,2) v song song vi mt phng ( b) : 2x + 3y - z + = cú phng trỡnh l : A x + y + z = C x + 2y + z - = B 2x + 3y - z = D x - y + z - = KIM TRA TIT Mụn: HèNH 12 Thi gian lm bi: 45 phỳt TRNG THPT NG HềA B im H tờn hc sinh: .Lp:12A Chn ỏp ỏn ỳng cho mi cõu : Cõu ap an Cõu 11 12 13 14 ap an 10 15 16 17 18 19 20 r r r r Cõu Trong khụng gian Oxyz, cho vecto a = ( 1; 2; 1) ; v c = ( x; + x; ) Nu c = 2a thỡ x bng A.1 B -1 C -2 D Cõu Trong khụng gian Oxyz, mt cu (S) cú tõm I(1;2;-3) v i qua A(1;0;4) cú phng trỡnh A (x 1)2 + (y 2)2 + (z 3)2 = 53 B (x 1)2 + (y 2)2 + (z+ 3)2 = 53 C (x + 1)2 + (y + 2)2 + (z 3)2 = 53 D (x + 1)2 + (y + 2)2 + (z+ 3)2 = 53 Cõu Trong khụng gian Oxyz, cho vecto a = ( 1;1; ) ; b = ( 1;1;0 ) ; c = ( 1;1;1) Trong cỏc mnh sau,uurmnh no sai ur r r r r A a = B c = C a b D b c r r Cõu Trong khụng gian vi h ta (Oxyz) Cho hai vecto a = ( 1;1; ) , b = ( 3;0; 1) v A ( 0;2;1) uuuu r r r Tỡm ta im M tha AM = 2a b A M ( 5;1;2 ) B M ( 1;4; ) C M ( 5;4; ) D M ( 3; 2;1) Cõu Trong khụng gian vi h ta (Oxyz) Cho A(1; 2; 3), B(2; -1; 1), C(1; 1; -2) Tỡm ta im D cho t giỏc ABCD l hỡnh bỡnh hnh A D(0; 4; 0) B D(2; -2; -4) C D(2; 0; 6) D D(2; -2; -4) Cõu Trong khụng gian vi h ta (Oxyz) Cho tam giỏc ABC cú trng tõm G, bit A(-1; -2; -3), B(-2; -3; -1), C(-3; -1; -2) Tớnh di AG? A B C D Cõu 7: Cho im A(2;1;1) v mt phng (P) 2x y + 2z + = Phng trỡnh mt cu tõm A tip xỳc vi mt phng (P) l: A (x + 2)2 + (y 1)2 + (z 1)2 = B (x 2)2 + (y 1)2 + (z 1)2 = C (x 2)2 + (y 1)2 + (z 1)2 = D (x 2)2 + (y 1)2 + (z 1)2 = Cõu Phng trỡnh no di õy l phng trỡnh ca mt phng i qua im khụng thng hng A(- 3;0;0), B(0;4;0),C (0;0;- 2) ? A x y z + + =1 -3 - B x y z - + =1 -3 - C x y z + + =1 - D x y z + + =1 -3 - Cõu Phng trỡnh mt cu ng kớnh AB bit A(2; -4; 6), B(4; 2; -2) l? 2 A B ( x + 3) + ( y + 1) + ( z ) = 26 C D Cõu 10 Trong khụng gian vi h ta (Oxyz) Cho A(2; -2; 3), B(1; -1; 2) Tỡm ta im C nm trờn trc Oy cho tam giỏc ABC vuụng ti A? A.C(3; 0; 0) B.C(0; 0; 3) C.C(0; -7; 0) D.C(0; -3; 0) Cõu 11 Phng trỡnh mt phng (P) i qua im A(2;3;4) v song song vi mt phng (Q) : x + y 3z -1 = l A x + y 3z + = B x + y 3z = C x + y 3z - = D x + y 3z +1 = Cõu 12 Phng trỡnh mt phng (P) i qua im A(2;3;4) v vuụng gúc vi trc Ox l ? A x = C z = B y = D x + y + z = Cõu 13 Cho im A(0; 2; 1), B(3; 0; 1), C(1; 0; 0) Phng trỡnh mt phng (ABC) l ? A 2x 3y 4z + 10 = B 4x + 6y 8z + = C 2x + 3y 4z = D 2x 3y 4z + = Cõu 14: Cho hai mt phng (P): 2x 3y + 6z + = v (Q): 4x 6y + 12z + 18 = Tớnh khong cỏch gia hai mt phng (P) v (Q) A B C D Cõu 15: Trong khụng gian vi h ta Oxyz , phng trỡnh no sau õy l phng trỡnh mt cu tõm I ( ;- ; 3) v i qua A ( ; ; 1) ? 2 B ( x - 2) + ( y + 1) + ( z - 3) = 38 2 D ( x + 2) + ( y - 1) + ( z + 3) = 76 A ( x - 2) + ( y + 1) + ( z - 3) = 76 C ( x + 2) + ( y - 1) + ( z + 3) = 38 2 2 2 Cõu 16 Trong khụng gian Oxyz, cho mt phng (P) i qua hai im A(4,-1,1), B(3,1,-1) v song song vi trc Ox Phng trỡnh no sau õy l phng trỡnh ca mt phng (P): A x + y + z = B x + y = C y + z = D x + z = Cõu 17 Trong khụng gian Oxyz, cho im M(8,-2,4) Gi A, B, C ln lt l hỡnh chiu ca M trờn cỏc trc Ox, Oy, Oz Phng trỡnh mt phng i qua ba im A, B v C l: A x + y + z = B x y + z = C x y + z + = D x + y z = Cõu 18 Cỏc mt phng (Q) song song vi mp(P): x+2y+z=0 v cỏch D(1;0;3) mt khong bng cú phng trỡnh l: A x+2y+z+2=0, x+2y+z -5 = C x+2y-z+10=0, x+2y+z+3=0 B x+2y-z-10=0, x+y+x-1=0 D x+2y+z+2=0 v x+2y+z-10=0 Cõu 19 Phng trỡnh mt phng i qua A,B,C, bit A ( 1; 3; ) , B ( 1; 2; ) , C ( 3;1;3) , l: A x + y + 4z + = B x + y + z = C x + y + z + 33 = D x y + z 33 = Cõu 20 Trong khụng gian vi h ta Oxyz, cho mt phng ( P ) : x y + z = v im M ( 1; 2;1) Mt phng (Q) song song vi mt phng (P) v khong cỏch t M n (P) v (Q) l bng thỡ (Q) cú phng trỡnh l A x y + z = B x y + z = C x y + z = D ỏp ỏn khỏc KIM TRA TIT Mụn: HèNH 12 Thi gian lm bi: 45 phỳt TRNG THPT NG HềA B im H, tờn hc sinh: .Lp:12A Chn ỏp ỏn ỳng cho mi cõu Cõu ap an Cõu 11 12 13 14 ap an 10 15 16 17 18 19 20 Cõu 1: Tỡm x hai vộc t a = ( x; x 2; 2), b = ( x; 1; 2) vuụng gúc: x =1 A x = x = B x = x = r r r C D x = r r Cõu Trong khụng gian Oxyz, cho a = 2i + j 5k Khi ú ta ca a l: A a = ( 2;1; 5) B a = ( 2;1;0 ) C a = ( 2; 1;5 ) D a = ( 2; 0; ) Cõu Cho mt cu (S) tõm I bỏn kớnh R v cú phng trỡnh: x + y + z x + y + = Trong cỏc mnh sau, mnh no ỳng A I ;1;0 ữ v R= B I ; 1; ữ v R= 2 C I ; 1; ữ v R= D I ;1;0 ữ v R= Cõu Phng trỡnh mt cu (S) qua im A( 1;2; 0) v cú tõm l gc ta O l A x + y2 + z2 = B x2 + 2y2 + 3z = C x2 + y2 + 2z2 = D x + y2 + z = r r r r uur uur uur Cõu Cho ba vộc t a = (5; 7; 2); b = (0;3; 4); c = ( 1;1;3) Ta vộc t n = 3a + 4b + 2c l r r r r A n = (13; 7;28) B n = (13 ;1;3); C n = (-1; -7; 2); D n = (-1;28;3) Cõu Trong khụng gian Oxyz, cho vecto a = ( 1;1;0 ) ; b = ( 1;1;0 ) ; c = ( 1;1;1) Trong cỏc mnh sau, mnh no ỳng? urr A a.c = B a = c r r r r r r C cos b, c = 26 D a + b + c = ( ) Cõu Trong khụng gian Oxyz, cho mt cu (S): ( x + 1) + ( y ) + ( z 3) = 12 Trong cỏc mnh sau, mnh no sai: A S cú tõm I(-1;2;3) B S cú bỏn kớnh R = C S i qua im M(1;0;1) D S i qua im N(-3;4;2) 2 Cõu Phng trỡnh no khụng phi l pt mt cu tõm I(-4 ; ; 0), R = , chn ỏp ỏn ỳng nht: A x + y z + x y + 15 = B ( x + 4) + ( y 2) + z = C x y z x + y 15 = D A v C Cõu Trong khụng gian Oxyz, bỏn kớnh mt cu i qua bn im A(1;0;0), B(0;1;0), C(0;0;1) v D(1;1;1) l: A B C D 3 Cõu 10 Trong khụng gian Oxyz Cho bn im A(1; 0; 0); B(0; 3; 0); C(0; 0; 6) Phng trỡnh mt phng (ABC) l A x y z + + =1 B x+2y+z-6 = C x y z + + =3 D 6x+2y+z-3 = Cõu 11 Trong khụng gian Oxyz, cho im A(4;-1;3), B(-2;3;1) Phng trỡnh mt phng trung trc ca on AB l: A x y + z + = B x y + z + = C x y + z = D x y z + = Cõu 12 Phng trỡnh mp() i qua im M(1,-1,2) v song song vi mp ( ) :2x-y+3z -1 = l A 6x + 3y + 2z = B x + y + 2z 9= C 2x-y+3z-9= D 3x + 3y - z = Cõu 13: im N trờn trc Oz, cỏch u im A(3; 4; 7), B(5; 3; 2) Khi ú N cú ta l: A N (0;2;0) B N (0;0;2) C N (0;0;18) D N (0;0;2) Cõu 14 Phng trỡnh mt cu i qua hai im A(1; 3; 0) v B(4; 0; 0) bit tõm mt cu nm trờn Ox l? A B C D Cõu 15 Trong không gian Oxyz, cho B(0 ; -2 ; 1) ; C(1 ; -1 ; 4) ; D (3; ; 2) Phơng trình mặt phẳng (BCD) l A -5x+2y+z+3=0 B 5x+2y+z+3=0 C -5x+2y+z-3=0 D -5x+2y-z+3=0 Cõu 16 Trong không gian Oxyz Cho im M(2;1;3), N(4;0;-1); P(-2;3;1) Nu MNPQ l hỡnh bỡnh hnh thỡ ta im Q l: A (0;-2;3) B (0;-2;-3) C (0;2;-3) D (-4;4;5) Cõu 17 Trong không gian Oxyz, cho A(3 ; -2 ;- 2) ; B(3 ; ; 0) ; C(0 ; ; 1) ; D (-1; ; 2) Phơng trình mặt cầu tâm A tiếp xúc với mặt phẳng (BCD) l A (x + 3) + (y 2) + ( z 2) = 14 B (x + 3) + (y 2) + ( z 2) = 14 C (x 3) + (y + 2) + ( z + 2) = 14 D (x 3) + (y + 2) + ( z + 2) = 14 Cõu 18 Trong khụng gian vi h ta Oxyz, cho hai im A(2;4;1),B(1;1;3) v mt phng (P): x 3y + 2z = Phng trỡnh mt phng (Q) i qua hai im A,B v vuụng gúc vi mt phng (P) l A (Q) : y + 3z 11 = B (Q) : y + 3z 11 = ( Q ) : y + z + 11 = C D (Q) : y + 3z + 11 = Cõu 19 Cho mt phng (P): 2x y +2z =0 Phng trỡnh ca mt phng (Q) song song vi mt phng (P) bit (Q) cỏch im A(1;2;3) mt khong bng l A (Q): 2x y +2z +9=0 B (Q): 2x y +2z + 15 =0 C (Q): 2x y +2z 21=0 D C A, C u ỳng r r Cõu 20: Hai vect a = ( 1; 6;2 ) , b = 2; m; m vuụng gúc vi giỏ tr dng ca m bng: ( A m = B m = -1, m= ) C m = 1, m = D m = KIM TRA TIT Mụn: HèNH 12 Thi gian lm bi: 45 phỳt TRNG THPT NG HềA B im H, tờn hc sinh: .Lp:12A Chn ỏp ỏn ỳng cho mi cõu Cõu ap an Cõu 11 12 13 14 ap an 10 15 16 17 18 19 20 r r r Cõu 1: Trong khoõng gian Oxyz cho ba vecto a = ( 2; 5;3) , b = ( 0;2; 1) , c = ( 1; 7;2 ) Toùa ủoọ cuỷa vecto u r r r r d = a 4b 2c laứ: A ( 0; 27;3) B ( 1;2; ) C ( 0;27;3 ) D ( 0; 27; 3) r r r r r r Cõu 2: Vi vect a = (4;- 2;- 4),b = (6;- 3;2) Hóy tớnh giỏ tr ca biu thc (2a - 3b)(a + 2b) ? A -100 B - 150 C - 200 D - 250 Cõu 3: Cho im A(-3 ; ; -2), B(-4 ; ; 2) Tỡm to ca im M tho h thc OM = AB ? A M (- 1;- 3;4) B M (- 4;11;- 3) C M (1;3;- 4) D M (- 4;- 11;3) Cõu 4: Cho hai mt phng (P): 2x 3y + 6z + = v (Q): 4x 6y + 12z + 18 = Tớnh khong cỏch gia hai mt phng (P) v (Q) A B C D Cõu 5: Trong khụng gian vi h ta Oxyz , phng trỡnh no sau õy l phng trỡnh mt cu tõm I ( ;- ; 3) v i qua A ( ; ; 1) ? 2 B ( x - 2) + ( y + 1) + ( z - 3) = 38 2 D ( x + 2) + ( y - 1) + ( z + 3) = 76 A ( x - 2) + ( y + 1) + ( z - 3) = 76 C ( x + 2) + ( y - 1) + ( z + 3) = 38 2 2 2 Cõu 6: Tt c m phng trỡnh sau l pt mt cu? x + y + z + 2(m 1) x + 4my z 5m + + 6m = A < m < B m < hoc m > C Khụng tn ti m D m > Cõu 7: Cho t din ABCD cú A ( 5;1;3) , B ( 1;6; ) , C ( 5;0; ) , D ( 4;0; ) Tỡm phng trỡnh mt phng (P) cha cnh AB v song song vi CD? A 10 x + y + z 74 = B 10 x + y + z 14 = C 10 x y + z + 74 = D 10 x + y z 14 = Cõu 8: Trong khụng gian vi h to Oxyz, cho im I(1;-3;2) Vit phng trỡnh mt phng (P) song song vi mt phng ( ) : x y + z 11 = ng thi cỏch im I mt on bng A (P): x y + z + = hoc (P): x y + 2z 21 = B (P): x y + z = hoc (P): x y + 2z 21 = C (P): x y + z + = hoc (P): x y + z + 21 = D (P): x y + z = hoc (P): x y + z + 21 = Cõu Gi ( ) l mt phng ct ba trc ta ti im M (8; 0; 0), N(0; -2; 0) , P(0; 0; 4) Phng trỡnh ca mt phng ( ) l? A x y z + + = B x y z + + = C x 4y + 2z = D x 4y + 2z = Cõu 10 Mt cu (S) cú tõm I(-1;2;1) v tip xỳc vi mp (P): x 2y 2z = cú phng trỡnh l: 2 2 2 A ( x + 1) + ( y ) + ( z 1) = B ( x + 1) + ( y ) + ( z 1) = C ( x + 1) + ( y ) + ( z + 1) = D ( x + 1) + ( y ) + ( z + 1) = Cõu 11: Xỏc nh m hai mt phng sau vuụng gúc (P): (2m 1)x 3my + 2z = v (Q): mx + (m 1)y + 4z = A m = V m = B m = V m = C m = V m = D m = V m = Cõu 12 Gúc gia hai vộc t a = (1; 0; 1), b = (1; 1; 0) l A 600 B 1200 C 900 D 1350 Cõu 13: Trong khụng gian vi h ta Oxyz, cho mt cu (S) cú tõm I(2; 1; 1) v mt phng (P) cú phng trỡnh: 2x + y + 2z + = Mt phng (P) ct mt cu (S) theo giao tuyn l mt ng trũn cú bỏn kớnh bng Phng trỡnh ca mt cu (S) l A (S): (x + 2) + (y + 1) + (z + 1) = B (S): (x + 2) + (y + 1) + (z + 1) = 10 C (S): (x 2) + (y 1) + (z 1) = D (S): (x 2) + (y 1) + (z 1) = 10 Cõu 14: Trong khụng gian vi h ta Oxyz, gi (P) l mt phng i qua G(1; 2; 1) v ct Ox, Oy, Oz ln lt ti A, B, C cho G l trng tõm ca tam giỏc ABC Vit phng trỡnh mt phng (P) 2 2 A (P): x + 2y z = B (P): 2x + y 2z = C (P): x + 2y z = D (P): 2x + y 2z = Cõu 15: Tỡm tt c cỏc giỏ tr m phng trỡnh: x2 + y2 + z2 + 2mx + 4my - 6mz + 28m = l phng trỡnh ca mt cu? A.m2 B < m < C m > D m < Cõu 16: Phng trỡnh mt phng i qua ba im A(1;-2;5), B(-2;3;-3) v C(4;3;3) l: A x y z + = B x y + z = C x y z = D x y z + = Cõu 17Phng trỡnh mt phng trung trc ca on thng AB, bit A(1;-3;5),B(3;1;-3) l: A x + y z + = B x + y z + 13 = C x + y z 15 = D x + y z 11 = Cõu 18: Cho A(1; 0; 2), mp (P): 2x y z +3 = Phng trỡnh mp (Q) qua A v song song (P) l: A 2x y z + = B 2x + y z + = C 2x y z = D C u sai Cõu 19: Mt phng (P) i qua hai im A(0;-2;1), B(1;-1;2) v vuụng gúc vi mt phng (Q): x 2y + 2z = cú phng trỡnh: A x y + 3z = B x y z + = C x y 3z + = D x y + 3z 11 = Cõu 20: Trong h trc ta Oxyz cho hai mt phng ( P ) : ( m + 3) x + y + ( m 1) z = v ( Q ) : ( n + 1) x + y + ( 3n 1) z + n = Hai mt phng (P),(Q) song song vi giỏ tr m, n bng: A m = -3; n = B m = - 3; n = -1 C m = 3; n = -1 D m = 3; n = ...Cõu 10 : Cho t din ABCD cú A (3; -2; 1) , B(-4; 0; 3) , C (1; 4; -3) , D(2; 3; 5) Phng trỡnh tng quỏt ca mp cha AC v song song BD l: A 12 x 10 y 21z 35 = B 12 x 10 y + 21z 35 = C 12 x + 10 y + 21z + 35 ... .Lp :12 A Chn ỏp ỏn ỳng cho mi cõu Cõu ap an Cõu 11 12 13 14 ap an 10 15 16 17 18 19 20 r r r Cõu 1: Trong khoõng gian Oxyz cho ba vecto a = ( 2; 5 ;3) , b = ( 0;2; 1) , c = ( 1; 7;2 ) Toùa... KIM TRA TIT Mụn: HèNH 12 Thi gian lm bi: 45 phỳt TRNG THPT NG HềA B im H, tờn hc sinh: .Lp :12 A Chn ỏp ỏn ỳng cho mi cõu Cõu ap an Cõu 11 12 13 14 ap an 10 15 16 17 18 19 20 Cõu 1: Tỡm