CHỌN BỘ 600 CÂU TRẮC NGHIỆM 0XYZ CÓ PHÂN DẠNG VÀ PHƯƠNG PHÁP GIẢI BÀI TẬP TRẮC NGHIỆM CÓ ĐÁP ÁN c32 phuong trinh mat phang pdf

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

PHẦN III: TỌA ĐỘ TRONG KHÔNG GIAN OXYZ

Dạng toán 2. Phöông trình maët phaúng

A – PHƯƠNG PHÁP GIẢI TOÁN

1

) Véctơ pháp tuyến, cặp véctơ chỉ phương



ꢀꢁꢂꢃꢄ

n

0

ꢄꢅꢆꢄꢇꢀꢁꢂꢃꢄꢈꢉꢊꢈꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P)ꢄꢎꢍꢋꢄꢔꢕꢊꢄ

n

ꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄ(P).

ꢙꢐꢕꢄꢇꢀꢁꢂꢃꢄa, b ꢄꢚꢉꢖꢎꢔꢄꢁꢛꢎꢔꢄꢈꢉꢜꢃꢎꢔꢄꢅꢆꢄꢁꢒꢈꢄꢇꢀꢁꢂꢃꢄꢁꢉꢝꢄꢈꢉꢜꢃꢎꢔꢄ

ꢁ

ꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P)ꢄꢎꢍꢋꢄꢔꢕꢊꢄꢁꢏꢐꢄꢁꢉꢞꢎꢔꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢉꢠꢒꢁꢄꢎꢡꢑꢄ

ⁿ

(

_P₎

ꢂꢢꢣꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P).



ꢤꢍꢋꢄa, b ꢄꢅꢆꢄꢑꢥꢂꢄꢁꢒꢈꢄꢇꢀꢁꢂꢃꢄꢁꢉꢝꢄꢈꢉꢜꢃꢎꢔꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P)

ꢄ

P

ꢂꢉꢦꢄ

n

a,b ꢄꢅꢆꢄꢧꢄꢇꢀꢁꢂꢃꢄꢈꢉꢊꢈꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P).

ꢤꢍꢋꢄ

n

0

ꢄꢅꢆꢄꢧꢄꢇꢀꢁꢂꢃꢄꢈꢉꢊꢈꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P)ꢄꢂꢉꢦꢄk.n, (k 0)ꢄꢁꢨꢎꢔꢄꢅꢆꢄꢇꢀꢁꢂꢃꢄꢈꢉꢊꢈꢄ

ꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢑꢒt phꢓng (P).

2

) Phương trình tổng quát của mặt phẳng: (P): Ax By Cz

D

0.



ꢤꢍꢋꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P)ꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ(P):Ax By Cz D 0ꢄꢂꢉꢦꢄn₍_P₎(A;B;C)ꢄꢅꢆꢄꢑꢥꢂꢄ

ꢇꢀꢁꢂꢃꢄꢈꢉꢊꢈꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P).



Đểꢄꢇꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P), ꢂꢐꢄꢁầꢎꢄxꢊꢁꢄđịꢎꢉꢄꢧꢄđꢕểꢑꢄđꢕꢄqꢋꢐꢄꢇꢆꢄꢧꢄꢇꢀꢁꢂꢃꢄꢈꢉꢊꢈꢄ

•

Đi qua M(x ;y ;z )

VTPT :n₍_P₎(A;B;C)

o o o

ꢂꢋꢌꢍꢎ.(P):

(P): A.(x x ) B.(y y ) C.(z z ) 0

o o o

3

) Các trường hợp đặc biệt:

ꢀ

ꢁꢂꢃꢄꢂꢅꢆ ꢇꢃꢈꢉꢊꢋꢂꢌꢍꢎꢊꢃꢂꢏꢐꢌꢂꢑꢃꢒꢊꢋꢂ(P)

ꢓꢔꢊꢃꢂꢁꢃꢕꢌꢂꢏꢐꢌꢂꢑꢃꢒꢊꢋꢂ(P)

(P)ꢂꢖꢗꢂꢘꢙꢚꢂꢋꢆꢁꢂꢌꢛꢚꢂꢖꢛꢂO

D

0

A

0

B

0

C

0

A B

A C

(P):Ax By Cz 0

(P):By Cz D 0

(P):Ax Cz D 0

(P): Ax By D 0

(P):Cz D 0

(P)

Ox ꢂꢃꢜꢐꢁꢂ(P) Ox

Oy ꢂꢃꢜꢐꢁꢂ(P) Oy

Oz ꢂꢃꢜꢐꢁꢂ(P) Oz

0

(Oxy)ꢃꢜꢐꢁꢂ(P) (Oxy)

(Oxz)ꢃꢜꢐꢁ(P) (Oxz)

(Oyz)ꢃꢜꢐꢁꢂ(P) (Oyz)

(P): By D 0

B C

0

(P):Ax D 0

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ



Lưu ý:

ꢤꢍꢋꢄꢂꢢꢠꢎꢔꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P)ꢄꢚꢉꢖꢎꢔꢄꢁꢉꢩꢐꢄꢪꢎꢄꢎꢆꢠꢄꢂꢉꢦꢄ(P)ꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢉꢠꢒꢁꢄ

ꢉꢩꢐꢄꢂꢢꢫꢁꢄꢂꢜꢃꢎꢔꢄꢩꢎꢔ.

ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P)ꢄꢁꢭꢂꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄꢂꢯꢕꢄꢁꢊꢁꢄđꢕểꢑꢄA(a;0;0), B(0;b;0), C(0;0;c)



ꢁ



ꢄ

x

a

y

b

z

c

ꢅꢆꢄ(P):

1

ꢄꢄꢰꢔꢮꢕꢄꢅꢆꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢂꢉꢱꢠꢄđꢠꢯꢎꢄꢁꢉꢭꢎ).

KꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄđꢕểꢑꢄM(x ;y ;z ) đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P):Ax By Cz

D

0

đꢜợꢁꢄxꢊꢁꢄ

M

Ax_MBy_MCz_M

D

địꢎꢉꢄbởꢕꢄꢁꢖꢎꢔꢄꢂꢉꢩꢁ:ꢄd(M;(P))

A²B²C ²

B – BÀI TẬP MẪU

BT 1.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢂꢢꢋꢎꢔꢄꢂꢢựꢁꢄꢁꢏꢐꢄđꢠꢯꢎꢄꢂꢉꢓꢎꢔꢄAB ꢇꢘꢕꢄꢂꢮꢐꢄđꢥꢄA, B ꢁꢉꢠꢄꢂꢢꢜꢘꢁ:ꢄ

ꢀ

ꢁꢂꢃꢄꢅꢆꢇꢂꢁꢈꢉꢆꢇꢂꢁꢈꢊꢋꢂ(P)ꢂꢋꢌꢍꢂꢎꢏꢐꢆꢂꢑꢒꢂꢓꢔꢂꢕꢃꢂꢎꢖꢂꢗꢉꢍꢂꢘꢔꢂꢘꢉꢙꢆꢇꢂꢇꢚꢋꢂꢁꢐꢖꢂꢁꢈꢉꢆꢇꢂꢎꢖꢛꢕꢂꢜꢂꢋꢌꢍꢂꢑꢒ.

A

x_Ax y

y z

z_B

2

I

B

A

B

A

P

•

Đi qua I

;

P²

mp(P):

2

B

VTPT :n₍_P₎AB (x_Bx_A;y_By ;z_Bz )

A

a) A(2;0;1), B(0; 2;3).

b) A(1;3; 4), B( 1;2;2).

c) A(2;1;1), B(2; 1; 1).

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a

BT 2.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄđꢕểꢑꢄM ꢇꢆꢄꢁꢗꢄꢁꢒꢈꢄꢇꢀꢁꢂꢃꢄꢁꢉꢝꢄꢈꢉꢜꢃꢎꢔꢄa, b cho

a

•

Đi qua M

VTPT :n₍_P₎

P²

b

ꢂꢢꢜꢘc

mp(P):

P

a,b

a) M(1;2; 3), a (2;1;2), b (3;2; 1).

c) M( 1;3;4), a (2;7;2), b (3;2;4).

b) M(1; 2;3), a (3; 1; 2), b (0;3;4).

d) M( 4;0;5), a (6; 1;3), b (3;2;1).

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

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BT 3.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄbꢐꢄđꢕểꢑꢄA, B, C ꢚꢉꢖꢎꢔꢄꢂꢉꢓꢎꢔꢄꢉꢆꢎꢔꢄ

•

Đi qua A, (hay B hay C)

VTPT :n₍_A_B_C₎AB,AC

B

P

P²

mp(P):

A

C

a) A(2; 5;1), B(3;4; 2), C(0;0; 1).

c) A(3; 5;2), B(1; 2;0), C(0; 3;7).

b) A(1; 2;4), B(3;2; 1), C( 2;1; 3).

d) A( 1;2;3), B(2; 4;3), C(4;5;6).

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BT 4.

(THPT

–

2011 NC) Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ ꢇꢘꢕꢄ ꢉệꢄ ꢂꢢꢫꢁꢄ Oxyz,

cho

A(0;0;3), B( 1; 2;1), C( 1;0;2). ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(ABC). Tíꢎꢉꢄđꢥꢄdꢆꢕꢄ

đꢜờꢎꢔꢄꢁꢐꢠꢄꢁꢏꢐꢄ

ABC

ꢚẻꢄꢂừꢄA.

3

5

Đꢊꢈꢄꢟố. (ABC):2x

y

2z

6

0

và AH

5

.

....................................................................................................................................................................

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

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Q

BT 5.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄmp(P) đꢕꢄqꢋꢐꢄM, vuông góc mp(Q) và mp(P)

:

n

(Q)

•

Đi qua M x ,y ,z

Δꢂ

_P2

o

u

mp(P):

VTPT :n₍_P₎

n ,u

P

(Q)

x 1

:

y

z 1

a) M(1;1;1),

b) M(3;2;1),

(Q):2x

y

z 1 0,

2

1

3

x 1 3t

: y 2 t , (t

z 3 3t

(Q):2x 3y – z 0,

).

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄmp(P) đꢕꢄqꢋꢐꢄM(x ;y ;z ) ꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄ

BT 6.

o

(

Q):Ax By Cz D 0

n

(P )

Q

P

n

(Q)

•

Đi qua M(x ,y ,z )

o o o

VTPT :n₍_P₎n₍_Q₎(A;B;C)

_P2

mp(P):

a) M(3;3;3) và (Q):2x 3y z

c) M(1; 2;1) và (Q):2x y

6

0.

b) M(2;1;5) và (Q) (Oxy)

3

0.

e) M( 1;1;0) và (Q): x 2y z 10 0.

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BT 7. (ĐH D – 2013 NC) TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄOxyz, ꢁꢉꢠꢄđꢕểꢑꢄA( 1;3; 2) ꢇꢆꢄꢑꢒꢂꢄ

ꢈꢉꢓꢎꢔꢄ(P): x 2y 2z 0. TíꢎꢉꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄA đꢍꢎꢄ(P). ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄ

5

ꢈꢉꢓꢎꢔꢄ(Q) đꢕꢄqꢋꢐꢄA ꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄ(P)

?

2

3

Đꢊꢈꢄꢟố. d A,(P)

và (Q): x 2y 2z

3

0.

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ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

BT 8.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄmp(P) đꢕꢄqꢋꢐꢄM ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄd đꢕꢄqꢋꢐꢄ2ꢄđꢕểꢑꢄA và

B,ꢄꢇꢘꢕ:ꢄ

n₍_P₎

u_d

AB

M

•

Đi qua M

VTPT :n₍_P₎u_dAB

P

d

P²

mp(P):

a) M( 1;2;3), A(2; 4;3), B(4;5;6).

c) M(2; 4;0), A(5;1;7), B( 1; 1; 1).

b) M(0;0;0), A( 2; 1;3), B(4; 2;1).

d) M(3;0;0), A(0; 5;0), B(0;0; 7).

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BT 9.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄA, B ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄmp(Q)

:

•

Đi qua A, (hay B)

VTPT :n₍_P₎AB,n₍_Q₎

PP

mp(P):

A(0;1;0), B(1;2; 2)

Q): 2x 3z 13

A(3;1; 1), B(2; 1;4)

y 3z 1 0

a)

c)

b)

d)

(

y

0

(Q): 2x

A(2; 1;3), B( 4;7; 9)

Q): 3x 4y 8z

A(3; 1; 2), B( 3;1;2)

(Q): 2x 2y 2z

(

5

0

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

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BT 10. (ĐH A, A

1

– 2014)

2z

Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ ꢇꢘꢕꢄ ꢉệꢄ ꢂꢢꢫꢁꢄ ꢂꢮꢐꢄ đꢥꢄ Oxyz, cho

x

2

y

2

z

3

mp(P):2x

y

1

0

ꢇꢆꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄ(d):

Tꢦꢑꢄꢂꢮꢐꢄđꢥꢄꢔꢕꢐꢠꢄ

1

3

đꢕểꢑꢄꢁꢏꢐꢄd và mp(P). ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(Q) ꢁꢉꢩꢐꢄd ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄmp(P).

7

2

3

2

Đꢊꢈꢄꢟố.

M

; 3;

và (Q):x 8y 5z 13 0.

.

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BT 11. (ꢀĐ – 20ꢁ0 – ꢀꢂꢃꢄꢅꢆ ꢇꢈꢉꢅꢂ ꢅꢊꢅꢆ ꢋꢌꢍ) TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxyz,ꢄꢁꢉꢠꢄ

x

2

y 1

1

z

đꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄ(d):

₁ꢄꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

P : 2x y 2z

2

0

.

ꢐꢲꢄꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(Q)ꢄꢁꢉꢩꢐꢄdꢄꢇꢆꢄ(Q) (P).

.

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

bꢲꢄꢄTꢦꢑꢄꢂꢮꢐꢄđꢥꢄđꢕểꢑꢄM d sao cho MꢄꢁꢊꢁꢉꢄđꢳꢋꢄOꢄꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄmp(P).

Đꢊꢈꢄꢟố. (Q):x 2y

2

0ꢄꢇꢆꢄM(0;1;0).

.

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BT 12. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄđꢕểꢑꢄM ꢇꢆꢄꢁꢉꢩꢐꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄ :

P²

Tꢈꢎꢅ ꢏꢃꢐꢅꢆ ꢇꢂꢑꢅꢆ ꢒ ꢓꢔꢕ ꢏꢖꢗꢘ A ꢙꢚ ꢛꢜꢋ ꢏꢝꢅꢂ ꢞTꢀP

u

M

P

Δꢂ

u

A

•

Đi qua M

VTPT :n₍_P₎

ꢟꢂꢖ ꢏꢠ mp(P):

AM,u

x

4

2t

x

2 t

1 2t

1 3t

a) M 2; 3;1 ,

c) M 4; 2;3 ,

: y 2 3t

b) M 1;4; 3 ,

: y

z

3 t

z

x

y

2z

1

0

5 0

x 1

3

y

2

z

5

:

d)

M

2;1;4 ,

:

4

2

2y 2z

.

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

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BT 13. (TNTHPT – 2010 – ꢀꢂꢃꢄꢅꢆ ꢇꢈꢉꢅꢂ ꢅꢊꢅꢆ ꢋꢌꢍ) TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxyz,

ꢄ

x

y 1 z 1

ꢁ

ꢉꢠꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ

:

2

.

1

ꢐꢲꢄꢄTíꢎꢉꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄO đꢍꢎꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄ

bꢲꢄꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) ꢁꢉꢩꢐꢄđꢕểꢑꢄOꢄꢇꢆꢄꢁꢉꢩꢐꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄ

.

MO,u

Đꢊꢈꢄꢟố. d(O; )

1

và (P): x 2y 2z 0.

u

.

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BT 14. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄꢁꢭꢂꢄꢎꢉꢐꢋꢄ

,

P

:

2

1

u ₂_Δ₂

^u1

^Δ1

•

Đi qua M

VTPT :n₍_P₎

₁, (hay M

u ,u

₂)

M

P²

mp(P):

1

2

x

3t

x

1 t

a)

: y 1 2t, (t

),

: y 2t

, (t

t

)

1

2

z

3 t

z

4

.

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ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

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x

: y

z

1 t

2

3 t

x

y

z

1

3 0

,

0

b)

:

t , (t

)

1

2

x

.

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x

2y

y

z

4

6

0

x

y

z

2z

2

0

7 0

c)

:

,

:

2

1

2

x

.

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

BT 15. Cꢉꢠꢄ2ꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄꢁꢉꢀꢠꢄꢎꢉꢐꢋꢄ ₁, ₂. ꢙãꢌꢄꢇꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ(P) ꢁꢉꢩꢐꢄ

và song song

1

•

Đi qua M

^V^T^P^T^:ⁿ⁽P)

₁, (hay M

u ,u

₂)

P²

Δ₂

u ₂

mp(P):

2

1

2

P

u ₁Δ₁

M

x

1 2t

x

2t

: y 1 t , t

2

a)

: y 3 t , t

,

1

z

2 3t

z

3 2t

.

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x

2

y

1

2

z

2

x

1

y 1 z 1

2 4

b)

:

,

:

2

1

3

.

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x

1 t

: y 2 t , t

2

x

2y

z

4

0

4 0

c)

:

1

2y 2z

z

1 2t

.

....................................................................................................................................................................

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

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BT 16. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄmp(P) qua M ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢉꢐꢕꢄꢑꢈmp( ), ( )

:

n

•

Đi qua M

VTPT :n₍_P₎

n

P²

mp(P):

P

n ,n

( )

M

(

)

a) M(1; 3;2),

b) M 2; 1;1 ,

( ):x 2y 5z

: 2x

1

0,

( ):2x 3y z

:y

4

0.

z

1

0,

0

.

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BT 17. (ꢀĐ – 2009 – ꢀꢂꢃꢄꢅꢆ ꢇꢈꢉꢅꢂ ꢋꢂꢡꢢꢅ)ꢄꢄTꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxyz,ꢄꢁꢉꢠꢄđꢜờꢎꢔꢄ

ꢊꢁꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P₁: x 2y 3z ꢄꢇꢆꢄ P₂: 3x 2y

.ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ

ꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢄđꢕꢄqꢋꢐꢄđꢕểꢑꢄA 1;1;1 ,ꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P₁ꢄꢇꢆꢄ P₂

ꢁ

4

0

z

1

0

P

.

Đꢊꢈꢄꢟố. P : 4x 5y 2z

1

0

.

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

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BT 18. (ĐH D – 20ꢁ0 – ꢀꢂꢃꢄꢅꢆ ꢇꢈꢉꢅꢂ ꢋꢂꢡꢢꢅ)ꢄꢄTꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxyz,ꢄꢁꢉꢠꢄꢉꢐꢕꢄ

ꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : x ꢄꢇꢆꢄQ : x

.ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

sao cho ꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄ

ꢄꢇꢆꢄd O, R

y

z

3

0

y

z

1

0

R

P

2

.

Đꢊꢈꢄꢟố. R :x

z

2 2

0.

.

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BT 19. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

P

đꢕꢄqꢋꢐꢄđꢕểꢑꢄM ꢇꢆꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

,

PP

ꢀ

ꢂọꢅ A,B ꢇꢂꢡộꢋ ꢆꢖꢌꢍ ꢇꢡꢕếꢅ ꢂꢌꢖ ꢘặꢇ pꢂꢑꢅꢆ

và

A,B

P

. ꢀụ ꢇꢂꢗ:

A₁x B₁y

A₂x B₂y

C₁z_oD₁

C₂z_oD₂

x

y

...

Cho:

z

z_o

A ...;...;...

P

B y C z

A₁x_oD₁

A₂x_oD₂

y

z

...

1

x

x_o

B ...;...;...

P

B y C z

2

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

•

Đi qua M

VTPT :n _P

ꢟꢂꢖ ꢏꢠ mp P :

a) M 2;0;1 ,

AB,AM

: x 2y

z

4

0,

: 2x

y

z

4

0

.

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b) M 1;2; 3 ,

: 2x 3y

z

5

0,

: 3x 2y 5z

1

0

.

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BT 20. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

P

qꢋꢐꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

,

đồꢎꢔꢄꢂꢉờꢕꢄ

ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢁꢉꢠꢄꢂꢢꢜꢘꢁꢄ

a)

b)

:y 2z 4 0,

: x 4y 2z

: x y z 3 0,

:y 4z 5 0,

: x z 2 0

y

5

0,

: 2x y 19 0

.

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

BT 21. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

P

qꢋꢐꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

,

đồꢎꢔꢄꢂꢉờꢕꢄ

ꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢁꢉꢠꢄꢂꢢꢜꢘꢁꢄ

a)

b)

: 2x 3y

4

0,

: 2y 3z

5

0,

: 2x

: x

y

3z

2

0

:y 2z 4 0,

: x y z 3 0,

y

z 2 0

.

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BT 22. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢂꢕꢍꢈꢄxꢞꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢁầꢋꢄ ꢁꢉꢠꢄꢂꢢꢜꢘꢁꢄꢂꢯꢕꢄđꢕểꢑꢄ

H

:

P S

2

a) S : x

3

y 1

z

24 ꢂꢯꢕꢄ

H

1;3;0

b) S : x²y²z²6x 2y 4z

5

0

ꢂꢯꢕꢄH 4;3;0

.

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BT 23. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) qꢋꢐꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ): x 3z

2

0

1

2

7 3

18

và ( ):y 2z

1

0, đồꢎꢔꢄꢂꢉờꢕꢄꢁꢊꢁꢉꢄđꢕểꢑꢄM 0;0; ꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄ

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Đꢊꢈꢄꢟố. (P): x

y

5z

1

0 ꢉꢠꢒꢁꢄ(P): 5x 17y 19z 27 0.

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

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BT 24. ꢕꢍꢂꢄ ꢈꢉꢜꢃꢎꢔꢄ ꢂꢢꢦꢎꢉꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ (P), bꢕꢍꢂꢄ ꢢꢡꢎꢔꢄ (P) ꢇꢋꢖꢎꢔꢄ ꢔꢗꢁꢄ ꢇꢘꢕꢄ ꢉꢐꢕꢄ

): x 0, ( ):2x 3z

ꢇꢆꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄꢔốꢁꢄꢂꢮꢐꢄđꢥꢄđꢍꢎꢄꢑꢒꢂꢄ

ꢈꢉꢓꢎꢔꢄ(P) bꢡꢎꢔꢄ

26

Đꢊꢈꢄꢟố. (P): 4x

(

y

z

1

y

4

0

?

y

3z 26 0.

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

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.

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.

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BT 25. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄmp(Q):2x 3y 6z 14

ꢊꢁꢉꢄꢂừꢄꢔốꢁꢄꢂꢮꢐꢄđꢥꢄđꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) bꢡꢎꢔꢄ

Đꢊꢈꢄꢟố. (P):2x 3y 6z 35 0.

0

ꢇꢆꢄꢚꢉꢠảꢎꢔꢄ

ꢁ

5

?

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

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.

....................................................................................................................................................................

BT 26. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄmp(P) ꢁꢉꢩꢐꢄꢂꢢꢫꢁꢄOz ꢇꢆꢄꢂꢯꢠꢄꢇꢘꢕꢄ(Q): 2x

y

11z

3

0

ꢑꢥꢂꢄꢔꢗꢁꢄ

3

0

^o

?

Đꢊꢈꢄꢟố. (P): x

0 ꢉꢠꢒꢁꢄ(P): 3x 4y 0.

.

....................................................................................................................................................................

.

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.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

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.

....................................................................................................................................................................

.

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²?

BT 27. ꢕꢍꢂꢄ(P) đꢕꢄqꢋꢐꢄA(3;0;1), B(6; 2;1) và (P) ꢂꢯꢠꢄꢇꢘꢕꢄ(Oyz) góc ꢂꢉỏꢐꢄꢑãꢎꢄcos

7

Đꢊꢈꢄꢟố. mp(P):2x 3y 6z 12

0 ꢉꢠꢒꢁꢄmp(P):2x 3y 6z 0.

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

....................................................................................................................................................................

.

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.

....................................................................................................................................................................

C– BÀI TẬP TRẮꢀ NGHIỆM

Câu 1. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌzꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄđꢕꢄqua đꢕểꢑꢄꢄMꢰ-1;2;0) và có VTPT

A.4x-5y-4=0 B.4x-5z-4=0 C.4x-5y+4=0

n

(4;0; 5) ꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:ꢄ

D.4x-5z+4=0

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Câu 2. CꢉꢠꢄbꢐꢄđꢕểꢑꢄAꢰ2;ꢧ;-1); B(-1;0;4);C(0;-2-ꢧꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢎꢆꢠꢄđꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄBC

A. x-2y-5z-5=0

B. 2x-y+5z-5=0

C. x-3y+5z+1=0

D.2x+y+z+7=0

Câu 3. Trong không gian Oxyz, ꢁꢉꢠꢄđꢕểꢑꢄG(1;1;1) ,ꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄqꢋꢐꢄ

G

ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄOG có

ꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉ:

A.

x

y

z

0

B.

x

y

z

3

0

C.

x

y

z

0

D.

x

y

z

3

0

Câu 4. MꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄD 2;0;0 ꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢂꢢꢫꢁꢄOꢌꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

A. B. C.

z

0

y

2

y

0

D.

z

2

Câu 5.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢂꢢꢋꢎꢔꢄꢂꢢựꢁꢄꢁꢏꢐꢄđꢠꢯꢎꢄꢂꢉꢓꢎꢔꢄABꢄꢇꢘꢕꢄA(1;2; 4), B(5;4;2)

.

A. 10x 9y 5z 70

0

B. 4x 2y 6z 11 C. 2x D. 2x 3z 3

0

y

3z

6

0

Câu 6. Trong không gian Oxyz ꢕꢀꢁꢂꢃꢄꢅꢆꢇꢂꢁꢈꢉꢆꢇꢂꢁꢈꢊꢋꢁꢏꢐꢄđꢠꢯꢎꢄꢂꢉꢓꢎꢔꢄABꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆꢄ,ꢇꢘꢕꢄA(1;2; 3)

B( 3;2;9)

,

A. -x-3z-10=0

B. -4x+12z-10=0

C. -x-3z-10=0

,

B(3; 1; 1).ꢄKꢉꢕꢄđꢗꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢂꢢꢋꢎꢔꢄꢂꢢựꢁꢄꢁꢏꢐꢄđꢠꢯꢎꢄꢂꢉꢓꢎꢔꢄAB ꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ

C. 2x 2y D. 2x 2y

D. -x+3z-10=0

Câu 7. CꢉꢠꢄꢉꢐꢕꢄđꢕểꢑꢄA( 1;3;1)

là

A. 2x 2y

z

0

B. 2x 2y

z

0

z

0

z

1

0

Câu 8.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄđꢕểꢑꢄB(1; 2; -ꢧꢲꢄꢇꢆꢄꢁꢊꢁꢉꢄꢔốꢁꢄꢂꢮꢐꢄđꢥꢄꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄꢅꢘꢎꢄꢎꢉấꢂ.

2y 2z 7 2z

B. C. 2x D.

A.

x

2y z 6

0

x

0

y

z

5

0

x

y

5

0

Câu 9. Cꢉꢠꢄ3ꢄđꢕểꢑꢄA(1; –2; 1), B(–1; 3; 3), C(2; –4;ꢄ2ꢲ.ꢄMꢥꢂꢄ TꢬTꢄ

A. B. C.

( 1;9;4) (9;4;1)

n

ꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰABCꢲꢄꢅꢆ

n

(4;9; 1)

D.

n

(9;4; 1)

Câu 10. Cꢉꢠꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ ( ) đꢕꢄqꢋꢐꢄđꢕểꢑꢄ M(0;0; 1) ꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢔꢕꢊꢄꢁꢏꢐꢄꢉꢐꢕꢄꢇꢱꢁꢂꢃꢄ

(3;0;5) .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) là:

A. 5x 2y 3z B. 5x 2y 3z 21

a

(1; 2;3)và

b

3

0

C. 5x 2y 3z 21

0

D.10x 4y 6z 21

0

Câu 11. Cꢉꢠꢄ3ꢄđꢕểꢑꢄAꢰꢧ;ꢄ6;ꢄ2ꢲ,ꢄBꢰ5;ꢄꢧ;ꢄ3ꢲ,ꢄCꢰ4;ꢄ0;ꢄ6ꢲꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰABCꢲꢄꢄꢅꢆ

B.14x 13y 9z 110 0

D. 14x 13y 9z 110

A. 14x 13y 9z+110

C. 14x-13y 9z 110

0

Câu 12. CꢉꢠꢄbꢐꢄđꢕểꢑꢄA(0;2;1)

A. 2x 3y 4z

,

B(3;0;1)

,

C(1;0;0) .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(ABC) là:

C. 2x 3y 4z D. 2x 3y 4z

2

0

B. 4x 6y 8z

2

0

2

0

1

0

Câu 13. CꢉꢠꢄꢉꢐꢕꢄđꢕểꢑꢄAꢰꢧ;-ꢧ;5ꢲꢄꢇꢆꢄBꢰ0;0;ꢧꢲ.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢁꢉꢩꢐꢄA,ꢄBꢄꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄOꢌꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ

A. 4x

y

z

1

0

B. 2x

z

5

0

C. 4x

z

1

0

D.

y

4z

1

0

Câu 14. ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) ꢁꢉꢩꢐꢄꢂꢢꢫꢁꢄOy ꢇꢆꢄđꢕểꢑꢄM(1; 1;1) là:

A. B. C.

x

z

0

x

z

0

x

y

0

D.

x

y

0

Câu 15. Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) : 3x 2y 2z

ꢔốꢁꢄꢂꢮꢐꢄđꢥꢄ ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢁảꢄ( ) và ( ) là:

2z B. 2x 2z

7

0

và ( ) : 5x 4y 3z

C. 2x 2z

1

0

.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄ

D. 2x 2z

O

A. 2x

y

0

y

0

y

1

0

y

0

Câu 16. GꢮꢕꢄꢰꢬꢲꢄꢅꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄMꢰ3;-1;-5ꢲꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰQꢲ:ꢄ3x-2y+2z+7=0 và (R): 5x-

ꢌ+3z+ꢧ=0.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:ꢄ

4

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

A. 2x+y-2z-15=0

B.2x+y-2z+15=0

C. x+y+z-7=0

D. x+2y+3z+2=0

Câu 17. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxꢌz,ꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕểꢑꢄEꢰꢧ;3;-5); F(-2;-1;1) và song

'

ꢟꢠꢎꢔꢄꢇꢘꢕꢄꢂꢢꢫꢁꢄxOx là:

A. 3y 2z

1

0

B. 3y 2z

1

0

C. 2x 3y 2z

1

0

D. 3y 2z

1

0

Câu 18. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌz,ꢄꢁꢉꢠꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲđꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕểꢑꢄAꢰ4,-1,1), B(3,1,-ꢧꢲꢄꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢂꢢꢫꢁꢄOx.ꢄ

ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢅꢆꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:

A.

x

y

z

0

B.

x

y

0

C.

y

z

0

D.

x

z

0

Câu 19. CꢉꢠꢄꢂꢩꢄdꢕệꢎꢄABCDꢄꢇꢘꢕꢄA(5;1;3), B(1;6;2), C(5;0;4), D(4;0;6) .ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄC,ꢄDꢄ

ꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄAB.

A. 10x 9z 5z

0

B. 5x 3y 2z

0

C. 10x 9y 5z 70

0

D.10x 9y 5z 50

0

Câu 20. KꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄđꢕểꢑꢄM(-2; -4;ꢄ3ꢲꢄđꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰPꢲꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ2x –y + 2z –3 = 0 là:

A. B. C. D. Đꢊꢈꢄꢊꢎꢄꢚꢉꢊꢁꢄꢄ

3

1

2

Câu 21. KꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄđꢕểꢑꢄM( 1;2; 4) đꢍꢎꢄmp( ) : 2x 2y

A. B. C.

z

8

0

là:

4

3

6

D.

5

Câu 22. GꢮꢕꢄꢙꢄꢅꢆꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢁꢏꢐꢄAꢰ2;-1;-1) trên (P): 16x 12y 15z

4

0

.ꢄĐꢥꢄdꢆꢕꢄđꢠꢯꢎꢄAꢙꢄbꢡꢎꢔ?ꢄꢄ

2

5

2

11

5

11

25

A.

B.

C.

D. 55

Câu 23. Tꢦꢑꢄꢔꢗꢁꢄꢔꢕữꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

: 2x

y

z

3

0

;

: x

y

2z 1

0

:

0

A. 30

B. 90

C. 45

D. 60

Câu 24. ịꢄꢂꢢíꢄꢂꢜꢃꢎꢔꢄđốꢕꢄꢁꢏꢐꢄ2ꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔ:ꢄ

A. B.

/ /

:

2x

y

z

3

0

và

: 2x + y –z –5 = 0.

cꢭt nhau D.

C.

,

chéo nhau

Câu 25. Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢰꢬꢲ:ꢄnx 7y 6z

và n là:

4

0

và (Q): 3x my 2z 7

0

.ꢄKꢉꢕꢄđꢗꢄꢔꢕꢊꢄꢂꢢịꢄꢁꢏꢐꢄm

7

3

7

3

7

3

A.

m

; n

1

B.

n

; m

9

C.

m

; n

9

D.

m

; n

9

Câu 26. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌz,ꢄxꢊꢁꢄđịꢎꢉꢄꢁꢊꢁꢄꢁꢒꢈꢄꢔꢕꢊꢄꢂꢢịꢄ(m;l) đểꢄꢁꢊꢁꢄꢁꢒꢈꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢟꢐꢋꢄđâꢌꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢎꢉꢐꢋ:ꢄ

2

x

ly 3z

5

0;mx 6y 6z

2

0

A. 3,4

B. 4; 3

C. 4,3

D. 4,3

Câu 27. Tìm

A.

m

đểꢄꢁꢒꢈꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢟꢐꢋꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢎꢉꢐꢋ:ꢄ7x 3y mz

B. C.

3

1

0; x 3y 4z

D.

5

2

0

.

m

6

m

4

m

1

m

Câu 28. MꢒꢂꢄꢈꢉꢓꢎꢔꢄqꢋꢐꢄAꢰꢄꢧ;ꢄ-2; -5ꢲꢄꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:

A. B. C.

x

y

0

ꢁꢊꢁꢉꢄꢰꢬꢲꢄꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄꢁꢗꢄđꢥꢄdꢆꢕꢄꢅꢆ:

D. 2 2

2

4

Câu 29. Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰ): 2x + 3y + 3z - 5 = 0; (): 2x + 3y + 3z - ꢧꢄ=ꢄ0.ꢄKꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢔꢕữꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢎꢆꢌꢄꢅꢆ:

2

11

2 22

11

A.

B.

4

C.

D.

1

Câu 30. Kꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢔꢕữꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:ꢄ2x

y

3z

5

0

và (Q): 2x

y

3z

1

0

bꢡꢎꢔ:

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

6

1

4

14

A.

B.

6

C.

4

D.

4

Câu 31. Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ ꢇꢘꢕꢄ ꢉệꢄ ꢂꢢꢫꢁꢄ ꢂꢮꢐꢄ đꢥꢄ Oxꢌz,ꢄ ꢁꢉꢠꢄ ꢉꢐꢕꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ (P) : 5x 5y 5z 1

Q) : x

.ꢄKꢉꢕꢄđꢗꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢔꢕữꢐꢄꢰꢬꢲꢄꢇꢆꢄꢰQꢲꢄꢅꢆ:ꢄ

0

và

0

(

y

z

1

0

2

1

3

5

2

5

2

15

2 3

5

A.

B.

C.

D.

Câu 32. Mꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢆꢄꢁꢊꢁꢉꢄđꢳꢋꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) :2x

ꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:ꢄꢄꢄꢄꢄꢄ

4z

B. 2x

y

4z

5

0

1

và ( ) :2x

D. 2x

y

4z

7

0

ꢁ

A. 2x

y

6

0

y

4z

0

C. 2x

y

4z 12

0

y

4z 12

2

Câu 33. Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) : m x

ꢔꢗꢁꢄꢇꢘꢕꢄ( ) khi:

y

(m 2)z

2

0

và ( ) : 2x m y 2z

0

.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) vuông

A.

m

2

B.

m

2

C.

m

1

D.

, ,

N 0,2,0 P 0,0,3 .ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄ MNP có

D.

m

3

Câu 34. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢂꢠꢯꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄbꢐꢄđꢕểꢑꢄ M 1,0,0

ꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

A. 6x 3y 2z

1

0

B. 6x 3y 2z

6

0

C. 6x 3y 2z

1

0

x

y

z

6

0

Câu 35. Gꢮꢕꢄ( ) ꢅꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢁꢭꢂꢄbꢐꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄꢂꢯꢕꢄ3ꢄđꢕểꢑꢄM (8; 0; 0), N(0; -2; 0) , Pꢰ0;ꢄ0;ꢄ4ꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢑꢒꢂꢄ

ꢈꢉꢓꢎꢔꢄ( ) là:

x

8

y

2

z

4

x

4

y

1

z

2

A.

0

B.

x

4y 2z

8

0

C.

x

4y 2z

0

D.

1

Câu 36. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌz,ꢄꢁꢉꢠꢄđꢕểꢑꢄMꢰ8,-2,4ꢲ.ꢄGꢮꢕꢄA,ꢄB,ꢄCꢄꢅầꢎꢄꢅꢜợꢂꢄꢅꢆꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢁꢏꢐꢄMꢄꢂꢢꢣꢎꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄOx,ꢄOꢌ,ꢄ

Oz.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄbꢐꢄđꢕểꢑꢄA,ꢄBꢄꢇꢆꢄCꢄꢅꢆ:

A.

x

4y 2z

8

0

B.

x

4y 2z

8

0

C.

x

4y 2z

8

0

D.

x

4y 2z

8

0

Câu 37. BꢕꢍꢂꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABCꢄꢁꢗꢄbꢐꢄđꢝꢎꢉꢄA,ꢄB,ꢄCꢄꢂꢉꢋꢥꢁꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄꢇꢆꢄꢂꢢꢮꢎꢔꢄꢂâꢑꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄꢅꢆꢄG( 1; 3;2) .ꢄKꢉꢕꢄđꢗꢄ

ꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰABCꢲꢄꢅꢆ:

A. 2x 3y z 1

0

B.

x

y

z

5

0

C. 6x 2y 3z 18

0

D. 6x 2y 3z 18

0

Câu 38. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄđꢕểꢑꢄM(2;2;2) .ꢄKꢉꢕꢄđꢗꢄꢑꢒꢂꢄꢈꢉảꢎꢔꢄđꢕꢄqꢋꢐꢄMꢄꢁꢭꢂꢄꢁꢊꢁꢄꢂꢕꢐꢄOx,ꢄ

Oꢌ,ꢄOzꢄꢂꢯꢕꢄꢁꢊꢁꢄđꢕểꢑꢄA,ꢄB,ꢄCꢄꢟꢐꢠꢄꢁꢉꢠꢄꢂꢉểꢄꢂíꢁꢉꢄꢂꢩꢄdꢕệꢎꢄOABCꢄꢎꢉỏꢄꢎꢉấꢂꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

A.

x

y

z

1

0

B.

x

y

z

6

0

C.

x

y

z

0

D.

x

y

z

6

0

Câu 39. Cho A(a;0;0);B(0;b;0);C(0;0;c) ꢇꢘꢕꢄa,b,c 0

.ꢄBꢕꢍꢂꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰABCꢲꢄqꢋꢐꢄđꢕểꢑꢄI(1;3;3) ꢇꢆꢄꢂꢉểꢄꢂíꢁꢉꢄꢂꢩꢄ

dꢕệꢎꢄOABCꢄđꢯꢂꢄꢔꢕꢊꢄꢂꢢịꢄꢎꢉỏꢄꢎꢉấꢂ.ꢄKꢉꢕꢄđꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢰABCꢲꢄꢅꢆ:

3y 3z 21

B. 3x C. 3x 3y

A.

x

0

y

z

9

0

z

15

0

D. 3x

y

z

9

0

Câu 40. Cho A 2;0;0 ,M 1;1;1 .ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(PꢲꢄđꢕꢄqꢋꢐꢄAꢄꢇꢆꢄM sao cho (PꢲꢄꢄꢁꢭꢂꢄꢂꢢꢫꢁꢄOy, Ozꢄꢅầꢎꢄ

ꢅꢜợꢂꢄꢂꢯꢕꢄꢉꢐꢕꢄđꢕểꢑꢄB, CꢄꢟꢐꢠꢄꢁꢉꢠꢄdꢕệꢎꢄꢂíꢁꢉꢄꢁꢏꢐꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABCꢄbꢡꢎꢔꢄ4 6

.

A. P₁: 2x

y

z

4

0

B. P₃: 6x

3

21 y

3

21 z 12

0

C. P₂: 6x

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

D.Cảbꢐꢄđꢊꢈꢄꢊꢎꢄꢂꢢꢣꢎ

Câu 41. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄ

d

ꢅꢆꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄ2ꢄꢑꢒꢂꢄ( ) : x 2y

.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰQꢲꢄđꢕꢄqꢋꢐꢄđꢕểꢑꢄAꢰꢧ;-ꢧ;2ꢲꢄꢇꢆꢄꢁꢉꢩꢐꢄ ꢂꢉꢦꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢰQꢲꢄꢅꢆ:

5z 11 5z 11 5z 11

B. 2x C. 2x D. 2x

2

0

,

(

) : x 2z

5z 11

4

0

d

A. 2x

y

0

y

0

y

0

y

0

Câu 42. ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄqꢋꢐꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:ꢄx-3y+2z-1=0 và (Q): 2x+y-3z+1=0 và song

ꢟꢠꢎꢔꢄꢇꢘꢕꢄꢂꢢꢫꢁꢄOxꢄꢅꢆ

A. 7x+y+1=0

B. 7y-7z+1=0

C. 7x+7y-1=0

2y 3z

và 2x 3y

D.x-3=0

.ꢄXꢊꢁꢄđịꢎꢉꢄ đểꢄꢁꢗꢄꢑꢒꢂꢄ

m

Câu 43. Gꢮꢕꢄꢰdꢲꢄꢅꢆꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

x

1

0

z

1

0

ꢈꢉꢓꢎꢔꢄꢰQꢲꢄqꢋꢐꢄꢰdꢲꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄ

a

(m;2; 3)

8

3

5

1

2

A.

m

6

B.

m

C. m 1

D.

m

Câu 44. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxꢌzꢄꢁꢉꢠꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABCꢄꢁꢗꢄAꢰꢧ;0;0ꢲ,ꢄBꢰ0;-2;3ꢲ,Cꢰꢧ;ꢧ;ꢧꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄ

2

3

ꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢁꢉꢩꢐꢄA,ꢄBꢄꢟꢐꢠꢄꢁꢉꢠꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄCꢄꢂꢘꢕꢄꢰꢬꢲꢄꢅꢆꢄ

A.

B.

C.

x

y

z

1

0

hoꢒc 23x 37y 17z 23

0

2z 1

0

hoꢒc 2x 3y 7z 23

0

hoꢒc 2x 3y 6z 13

0

2y z 1

D. 2x 3y z 1

0

hoꢒc 3x

y

7z

6

0

Câu 45. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢂꢠꢯꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄđꢕểꢑꢄ

A

1,2,1 ꢇꢆꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

: 2x 4y 6z

5

0

,

:

x

2y 3z

0

.ꢄMệꢎꢉꢄđꢳꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄđꢞꢎꢔꢄ?

A.

B.

ꢚꢉꢖꢎꢔꢄđꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢚꢉꢖꢎꢔꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘi

đꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘi

C.

D.

đꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢚꢉꢖꢎꢔꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘi

ꢚꢉꢖꢎꢔꢄđꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘi

Câu 46. ꢰꢄꢟꢐꢕꢄđꢳ) Cꢉꢠꢄbꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : 3x

y

z

4

0 ; Q : 3x

y

z

5

0

và R : 2x 3y 3z

D.ꢰIꢲꢄ;ꢄꢰIIꢲꢄđꢳꢋꢄđꢞꢎꢔ

1

0

.

Xꢀꢂꢄꢁꢊꢁꢄꢑệꢎꢉꢄđꢳꢄꢟꢐꢋ:ꢄ

(

I): (P) song song (Q)

(II): (P) vuông góc (Q)

KhꢓꢎꢔꢄđịꢎꢉꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄĐÚꢤGꢄ?

A.ꢰIꢲꢄꢟꢐꢕꢄ;ꢄꢰIIꢲꢄđꢞꢎꢔ

B.ꢰIꢲꢄđꢞꢎꢔꢄ;ꢄꢰIIꢲꢄꢟꢐꢕ

C.(I) ; (II) đꢳu sai

( ) : x

Câu 47. Cꢉꢠꢄbꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) : x

y

2z

1

0

;

y

z

2

0

và ( ) : x

y

5

0

.ꢄTꢢꢠꢎꢔꢄꢁꢊꢁꢄꢑệꢎꢉꢄđꢳꢄ

D.( ) ( )

: x

ꢟꢐꢋ,ꢄꢑệꢎꢉꢄđꢳꢄꢎꢆꢠꢄꢟꢐꢕ?ꢄ

A. ( ) ( )

B. ( ) ( )

C.( ) ( )

Câu 48. Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ Oxꢌz,ꢄ ꢁꢉꢠꢄ đꢕểꢑꢄ Iꢰ2,6,-3ꢲꢄ ꢇꢆꢄ ꢁꢊꢁꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔ:ꢄ

. Tꢢꢠꢎꢔꢄꢁꢊꢁꢄꢑệꢎꢉꢄđꢳꢄꢟꢐꢋ,ꢄꢂꢦꢑꢄꢑệꢎꢉꢄđꢳꢄꢟꢐꢕ:

B. đꢕꢄqꢋꢐꢄđꢕểm I C.( ) Oz

2

0

,

: y

6

0

,

:

z

3

0

A.

D.

xOz

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Câu 49. Cho A(0;2; 2)

ꢉꢮꢁꢄꢟꢕꢎꢉꢄꢔꢕảꢕꢄꢎꢉꢜꢄꢟꢐꢋ:

Bꢜꢘc 1: AB ( 3; 1;1)

AC (4;1;2)

,

B( 3;1; 1)

,

C(4;3;0) và D(1;2;m). Tìm đểꢄbốꢎꢄđꢕểꢑꢄA,B,C,D đồꢎꢔꢄꢈꢉꢓꢎꢔ.ꢄMꢥꢂꢄ

m

;

AD (1;0;m 2)

1

1 1

;

3

4

3

4

1

Bꢜꢘc 2: AB, AC

;

( 3;10;1)

;

AB, AC .AD

3

m

2

m

5

2 1

Bꢜꢘc 3: A,B,C,D đồng phꢓng

AB, AC .AD

0

m

5

0

.ꢄĐꢊꢈꢄꢟố:

m

5

Bài giảꢕꢄꢂꢢꢣꢎꢄđꢞꢎꢔꢄꢉꢐꢌꢄꢟꢐꢕ?ꢄꢤꢍu sai thì sai ởbꢜꢘc nào?

A.Đꢞꢎꢔꢄ

B.Sai ởbꢜꢘc 2

D.Sai ởbꢜꢘc 3

C.Sai ởbꢜꢘc 1

Câu 50. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄđꢕểꢑꢄꢙꢰ2;ꢧ;ꢧꢲ.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄqꢋꢐꢄꢙꢄ,ꢄꢁꢭꢂꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄꢂꢯꢕꢄ

A,B,CꢄꢇꢆꢄꢙꢄꢅꢆꢄꢂꢢựꢁꢄꢂâꢑꢄꢁꢏꢐꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABC.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢅꢆ:

x

3

y

6

z

6

x

3

y

6

z

6

A.

1

0

B.

1

0

C. 2x

y

z

1

D. 2x

y

x

6

0

Câu 51. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄOxꢌz,ꢄꢁꢉꢠꢄꢰꢬꢲ:ꢄ2x-y+2z-4=0.ꢄĐꢕểꢑꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢂꢉꢋꢥꢁꢄꢰꢬꢲ.

A. C(1;0; 2) B. A(1; 1;1) C. B(2;0; 2) D. D(2;0;0)

Câu 52. Đꢕểꢑꢄꢎꢆꢠꢄꢎꢡꢑꢄꢂꢢꢣꢎꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄꢰdꢲꢄꢅꢆꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄxꢄ+ꢄ2ꢌꢄ–z +3 = 0 và 2x –3y –2z + 6 = 0.

A.(0; 1; 5) B.(-1; -1; 0) C.(1; 2; 1) D.( 1; 0; 4)

Câu 53. Cꢉꢠꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : x 2y 3x

1

0

.ꢄTꢢꢠꢎꢔꢄꢁꢊꢁꢄꢑệꢎꢉꢄđꢳꢄꢟꢐꢋ,ꢄꢑệꢎꢉꢄđꢳꢄꢎꢆꢠꢄđꢞꢎꢔ?

A.Ba điểm

B.Bꢐꢄđꢕểm

C.Bꢐꢄđꢕểm

D.Bꢐꢄđꢕểm

M

1;0;0 , N 0;1;1 ,Q 3;1;2 cùng thuꢥc mꢒt phꢓng (P).

1;0;0 , N 0;1;1 ,K 0;0;1 cùng thuꢥc mꢒt phꢓng (P).

1;0;0 , N 0;1;2 ,Q 3;1;2 cùng thuꢥc mꢒt phꢓng (P).

1;0;0 , N 0;1;2 ,K 1;1;2 cùng thuꢥc mꢒt phꢓng (P).

Câu 54. ꢱꢁꢂꢃꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢇꢱꢁꢂꢃꢄꢈꢉꢊꢈꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ2xꢄ- y –z =0?

A. n = (2; 1; -1)

B. n = (1; 2; 0)

C. n = (0; 1; 2)

D. n = (-2; 1; 1)

Câu 55. Cho A 0,2, 3

,

B 1, 4,1 .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄđꢕꢄqꢋꢐꢄM 1,3, 2 ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄABꢄꢅꢆ:

6y 4z 25 6y 17

B. C. 3x D.

A.

x

y

z

2

0

x

0

y

z

4

0

x

0

Câu 56. CꢉꢠꢄꢉꢐꢕꢄđꢕểꢑꢄAꢰ-3;ꢄꢧ;ꢄ2ꢲꢄꢇꢆꢄBꢰꢧ;ꢄ0;ꢄ4ꢲ.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄABꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄ

trình là:

A. 4x + y + 2z + 7 =0

B.4x –y + 2z + 9 =0

C. 4x –y + 2z –9 = 0

D.4x –y –2z + 17 =0

Câu 57. CꢉꢠꢄbꢐꢄđꢕểꢑꢄAꢰ3;ꢄ2;ꢄ-2) , B(1; 0; 1) và C(2; -ꢧ;ꢄ3ꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄBCꢄꢅꢆ

A.

x

y

2z

3

0

B.

x

y

2z

5

0

C.

x

y

2z

1

0

D.

x

y

2z

3

0

Câu 58. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxyz, ꢁꢉꢠꢄbꢐꢄđꢕểꢑꢄM(1;1;3)

ꢟꢐꢋꢄđâꢌꢄꢅꢆꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄđꢕểꢑꢄ

B. 2y

,

N(1;1;5)

,

P(3;0;4) .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢎꢆꢠꢄ

M

ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄđꢜờꢎꢔꢄꢂꢉꢓꢎꢔꢄNP ?

A.

x

y

z

3

0

x

z

3

0

C. 2x D. 2x

y

z

2

0

y

z

4

0

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Câu 59. CꢉꢠꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABCꢄꢁꢗꢄAꢰꢧ;2;3ꢲ,ꢄBꢰ4;5;6ꢲ,ꢄCꢰ-3;ꢄ0ꢄ;5ꢲ.ꢄGꢮꢕꢄGꢄꢅꢆꢄꢂꢢꢮꢎꢔꢄꢂâꢑꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABC,ꢄIꢄꢅꢆꢄꢂꢢꢋꢎꢔꢄđꢕểꢑꢄAC, (

ꢲꢄꢅꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢂꢢꢋꢎꢔꢄꢂꢢựꢁꢄꢁꢏꢐꢄAB.ꢄCꢉꢮꢎꢄꢚꢉꢓꢎꢔꢄđịꢎꢉꢄđꢞꢎꢔꢄꢂꢢꢠꢎꢔꢄꢁꢊꢁꢄꢚꢉꢓꢎꢔꢄđịꢎꢉꢄsau:

2

3

7 14

3 3

21

2

A. G( ; ; ),

I(1;1;4), ( ) : x y z

0

2

3

7 14

3 3

B. G( ; ; ),

I( 1;1;4), ( ) : 5x 5y 5z 21

I( 1;1;4), ( ) : 2x 2y 2z 21

0

C. G(2;7;14),

2

3

7 14

D. G( ; ; ),

3 3

I(1;1;4), ( ) : 2x 2y 2z 21

0

Câu 60. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄOxꢌz,ꢄꢁꢉꢠꢄꢄđꢕểꢑꢄAꢰꢧ;-2;1) và (P):x+2y-z-ꢧ=0.ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢰQꢲꢄđꢕꢄqꢋꢐꢄAꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢰꢬꢲ.

A. (Q) : x 2y z 4

0

B.(Q) : x 2y z 4

0

D.(Q) : x 2y z 4

C. (Q) : x 2y z 2

0

Câu 61. ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄA 1;2;3 ꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(Q) : 2x

A. 2x B. 2x C. 2x z 1 D. 2x

y

z

5

0

y

z

2

0

y

z

3

0

y

0

y

z

3

0

Câu 62. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢠꢯꢄđꢥꢄOxyz .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄqꢋꢐꢄA 2;5;1 ꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢑꢒꢂꢄ

ꢈꢉꢓꢎꢔꢄ Oxy là:

A. z 1 0

B. x 2

0

C.

y

5

0

D. 2x 5y

z

0

Câu 63. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢠꢯꢄđꢥꢄOxyz .ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄqꢋꢐꢄM 1;4;3 ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢂꢢꢫꢁꢄOy có

ꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

0

A.

y

4

B. x 1 0

C. z 3

0

D.

x

4y 3z

0

Câu 64. TꢢꢠꢎꢔꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄOxꢌz,ꢄꢁꢉꢠꢄAꢰꢧ;ꢄ2;ꢄ3ꢲꢄꢇꢆꢄBꢰ3;ꢄ2;ꢄꢧꢲ.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄAꢄꢇꢆꢄꢁꢊꢁꢉꢄBꢄꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄꢅꢘꢎꢄꢎꢉấꢂꢄꢅꢆ:ꢄ

A. x - z - 2 = 0 B. x- z + 2 = 0 C. 2y 3z -10 D. 3x + 2y + z -10 = 0

x

0

Câu 65. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxyz,ꢄꢁꢉꢠꢄđꢕểꢑꢄA(2; 1;1) . MꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄđꢕꢄqꢋꢐꢄđꢕểꢑꢄAꢄꢇꢆꢄꢁꢊꢁꢉꢔốꢁꢄꢂꢮꢐꢄ

đꢥꢄOꢄꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄꢅꢘꢎꢄꢎꢉấꢂꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆꢄ

A. 2x

y

z

6

0

B. 2x

y

z

6

0

C. 2x

y

z

6

0

D. 2x

y

z

6

0

Câu 66. Cho A 1; 1;5 ,B 3; 3;1 .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢂꢢꢋꢎꢔꢄꢂꢢựꢁꢄꢁꢏꢐꢄđꢠꢯꢎꢄAB là:

2z 2z 2y 2z

A. B. C. D.

x

y

2

0

x

y

2

0

x

0

x

y

2z 7

0

Câu 67. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢂꢠꢯꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄꢉꢐꢕꢄđꢕểꢑꢄAꢰꢧ;ꢄ-1; 0) và B(-2;ꢄ0;ꢄꢧꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢂꢢꢋꢎꢔꢄꢂꢢựꢁꢄ

ꢰꢬꢲꢄꢁꢏꢐꢄđꢠꢯꢎꢄꢂꢉꢓꢎꢔꢄABꢄꢅꢆ:

A. -3x + y + z +3 =0

B. -6x + 2y + 2z –3=0

C. -6x + 2y + 2z + 3=0

D. -3x + y + z -3 =0

Câu 68. ꢤꢍꢋꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(α) qꢋꢐꢄbꢐꢄđꢕểꢑꢄMꢰ0;ꢄ-1; 1), N(1; -1; 0), và P(1; 0; -2ꢲꢄꢂꢉꢦꢄꢎꢗꢄꢁꢗꢄꢑꢥꢂꢄꢇꢱꢁꢂꢃꢄꢈꢉꢊꢈꢄꢂꢋꢌꢍꢎꢄꢅꢆ:

A. n = (1; 1; 2)

B. n = (1; 2; 1)

C. n = (-1; 2; -1)

D. n = (2; 1; 1)

D. 3x 2y 6z

Câu 69. ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄđꢕꢄqꢋꢐꢄ3ꢄđꢕểꢑꢄA 3,4,1 ,B 1, 2,5 ,C 1,7,1 là:

A. 3x 2y 6z B. 3x 2y 6z 23 C. 3x 2y 6z 23

7

0

5

0

Câu 70. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz,ꢄꢁꢉꢠꢄbꢐꢄđꢕểꢑꢄA(0; 1; 2), B(2; –2; 1), C(–2;ꢄ0;ꢄꢧꢲ.ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄ

ꢈꢉꢓꢎꢔꢄꢰABC)

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

2y 4z 2y 4z 2y 4z

A.

x

y

2z

5

0

B.

x

6

0

C.

x

1

0

D.

x

6

0

Câu 71. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄꢉꢐꢕꢄđꢕểꢑꢄAꢰꢧ;0;ꢧꢲ,Bꢰ2;ꢧ;2ꢲꢄꢇꢆꢄꢰꢬꢲ:x+2ꢌ+3z+3=0.ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ

ꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰQꢲꢄđꢕꢄqꢋꢐꢄ2ꢄđꢕểꢑꢄA,Bꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢰꢬꢲ.

A. (Q) : x 2y

z

2

0

B. (Q) : x 2y

z

2

0

C.(Q) : x 2y

z

2

0

D.(Q) : x 2y

ꢁꢉꢩꢐꢄABꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

3y 5z 14 3y 5z 14

D.

z

2

0

Câu 72. Cho A 1; 1;2 ,B 2; 2;2 ,C 1;1; 1 ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄ

ABC)

3y 2z 14

(

A.

x

0

B.

x

3y 5z 14

0

C.

x

0

x

0

,

Câu 73. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxyz, ꢁꢉꢠꢄꢉꢐꢕꢄđꢕểꢑꢄA( 1;1;5) B(1;2; 1).ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢎꢆꢠꢄꢟꢐꢋꢄ

đâꢌꢄꢅꢆꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕểꢑꢄ ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(Oxy)

A. 6x 6y B. 6y z 11 D. 3x

2y

A

,

B

?

z

7

0

C.

x

3

0

z

2

0

Câu 74. TꢢꢠꢎꢔꢄꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxꢌzꢄꢁꢉꢠꢄ

A

0;0;4 , B 3;0;0 , C 0;4;0 .ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ

mp(ABC) là :

A. 4xꢄ ꢄ3yꢄ-ꢄ3zꢄ–ꢄꢧ2ꢄ ꢄ0

B. 4xꢄ ꢄ3yꢄ ꢄ3zꢄ–ꢄꢧ2ꢄ ꢄ0

D. 4xꢄ-ꢄ3yꢄ ꢄ3zꢄ–ꢄꢧ2ꢄ ꢄ0

C. 4x

3y

3z + 12

0

Câu 75. ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄ3ꢄđꢕểꢑꢄAꢰ0;0;ꢧꢲ,ꢄBꢰ2;ꢧ;-ꢧꢲ,ꢄCꢰ-ꢧ;-2;0ꢲꢄꢅꢆ:

A. 5x –4y + 3z –3 = 0 B.5x –4y + 3z –9 = 0 C. 5x –y + 3z –33 = 0

D.x –4y + z –6 = 0

Câu 76. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxyz, cho hai đꢕểꢑꢄAꢰ2;4;ꢧꢲ,Bꢰ–ꢧ;ꢧ;3ꢲꢄꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:ꢄx –3y 2z –5

0

.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰQꢲꢄđꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕểꢑꢄA,ꢄBꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ.

A. (Q) : 2y 3z

5

0

B.(Q) : 2y 3z 11

0

C. (Q) : x 3y 2z

8

0

D.(Q) : 3x 3y 2z 16

0

Câu 77. CꢉꢠꢄꢉꢐꢕꢄđꢕểꢑꢄM 1;2; 1 , N 0;1; 2 ꢇꢆꢄꢇꢱꢁꢂꢃꢄv 3; 1;2 .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢁꢉꢩꢐꢄM,ꢄꢤꢄꢇꢆꢄꢟꢠꢎꢔꢄ

ꢟꢠꢎꢔꢄꢇꢘꢕꢄꢇꢱꢁꢂꢃꢄ là?

v

A. 3x

y

4z

9

0

B. 3x

y

4z

7

0

C. 3x

y

3z

7

0

D. 3x

y

3z

9

0

Câu 78. MꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰQꢲꢄđꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕꢣꢑAꢰꢧ;ꢄ0;ꢄꢧꢲ,ꢄBꢰ2;ꢄꢧ;ꢄ2ꢲꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔ(P) : x 2y 3z

3

0

ꢁꢭꢂꢄ

ꢂꢢꢫꢁꢄꢠzꢄꢂꢯꢕꢄđꢕểꢑꢄꢁꢗꢄꢁꢐꢠꢄđꢥ

A.

3

B.

1

C.

4

D.

2

Câu 79. ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕểꢑꢄ A 1;2;3

Q : x 2z

là:

B.

, B 2; 1; 1 ꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

y

3

0

A.

x

y

z

6

0

x

y

z

2

0

C.

x

y

z

4

0

D.

x

y

z

2

0

Câu 80. Mꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄ3ꢄđꢕểꢑꢄM(1;0;0),N(0; 2;0),P(0;0; 2) ꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

x

1

y

2

z

2

A. 2x

y

z 1

0

B.

x

2y 2z

2

0

C.

1

D. 2x 2y

z

6

0

Câu 81. ꢬꢉꢜꢃꢎꢔꢄ ꢂꢢꢦꢎꢉꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ ꢰꢬꢲꢄ đꢕꢄ qꢋꢐꢄ 2ꢄ đꢕểꢑꢄ A 2, 1,4 ,B 3,2, 1 ꢇꢆꢄ ꢇꢋꢖꢎꢔꢄ ꢔꢗꢁꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ

Q : x

y

2z

3

0

là:

A. 11x 7y 2z 21

0

B. 11x 7y 2z 21

0

C.11x 7y 2z 21

0

D.11x 7y 2z 21

0

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Câu 82. Trong ꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌz,ꢄꢁꢉꢠꢄ3ꢄđꢕểꢑꢄA 0;1;2 ,B 2; 2;1 ;C 2;0;1 .ꢄKꢉꢕꢄđꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

(

ABC) là: ax 2y 4z

d

0

.ꢄꢙãꢌꢄxꢊꢁꢄđịꢎꢉꢄꢂổꢎꢔꢄ

a

d

.

A. a d

7

B. a d

5

C. a d

7

D. a d

5

Câu 83. Cho A 1;2; 1

A.

1;0;0

,

B 5;0;3

,

C 7,2,2 .ꢄTꢮꢐꢄđꢥꢄꢔꢕꢐꢠꢄđꢕểꢑꢄMꢄꢁꢏꢐꢄꢂꢢꢫꢁꢄOx ꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄqꢋꢐꢄABC là:

C. M 2;0;0 D.

2;0;0

M

B. M 1;0;0

M

Câu 84. ꢕꢍꢂꢄ ꢈꢉꢜꢃꢎꢔꢄ ꢂꢢꢦꢎꢉꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ

P) : x 2y 3z

Q : 2x

A. 5x 7y 3z B. 5x 7y 3z

đꢕꢄ qꢋꢐꢄ ꢔốꢁꢄ ꢂꢮꢐꢄ đꢥꢄ Oꢄ ꢇꢆꢄ ꢇꢋꢖꢎꢔꢄ ꢔꢗꢁꢄ ꢇꢘꢕꢄ ꢉꢐꢕꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ

(

4

0

,

y

z

0

C. 5x 7y 3z

0

D. 5x 7y 3z

0

Câu 85. Pꢉꢜꢃꢎꢔꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄ3ꢄđꢕểꢑꢄA 1;1;0 ,B 3;0; 2 ,C 1; 1;2 là:

A. 3x 4y 4z B. 4x 3y 4z C. 4x 3y 4z

1

0

1

0

1

0

D. 3x 4y 4z 1

0

Câu 86. Trong không gian Oxyz, ꢇꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄOAꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄbꢕꢍꢂꢄAꢰ0;ꢄ

; 0) và (P): 2x + 3y  4z  2 = 0

B. 2x

2

A. 2x

y

0

y

0

C. 2x z

0

D. 2x

z

0

Câu 87. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxyz, cho hai đꢕểꢑꢄAꢰ2;4;ꢧꢲ,Bꢰ–ꢧ;ꢧ;3ꢲꢄꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:ꢄx –3y 2z –5

0

.

ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰQꢲꢄđꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕểꢑꢄA,ꢄBꢄꢇꢆꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ.

D. Đꢊꢈꢄꢊꢎꢄꢚꢉꢊꢁꢄ

A. 10x 4y

z

5

0

B. 10x 4y

z

11

0

C.10x 4y

z

19

0

Câu 88. ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄ2ꢄđꢕểꢑꢄA 1; 1;5 ,B 0;0;1 ꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄOꢌꢄꢅꢆ:

A. 4x z 1 B. 4y C. 4x D. x 4z 1 0

0

z

1

0

y

1

0

Câu 89. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌz,ꢄꢁꢉꢠꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲđꢕꢄqꢋꢐꢄꢉꢐꢕꢄđꢕểꢑꢄAꢰ4,-1,1), B(3,1,-ꢧꢲꢄꢇꢆꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢂꢢꢫꢁꢄOx.ꢄ

ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢅꢆꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲ:

A.

x

y

0

B.

y

z

0

C.

x

z

0

D.

x

y

z

0

Câu 90. MꢒꢂꢄꢈꢉꢓꢎꢔꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢁꢉꢩꢐꢄꢂꢢꢫꢁꢄOꢌ?

A. –y + z = 0 B. -2x + z =0

C. -2x –y + z =0

D. -2x –y = 0

0

.ꢄTꢦꢑꢄꢚꢉꢓꢎꢔꢄđịꢎꢉꢄđꢞꢎꢔꢄꢂꢢꢠꢎꢔꢄꢁꢊꢁꢄ

D.

/ /Ox

: y 6 0;

Câu 91. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz ,ꢄꢁꢉꢠꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

: 3x

/ /Oy

z

ꢑệꢎꢉꢄđꢳꢄꢟꢐꢋ:

A.

Oy

B.

/ / xOz

C.

Câu 92. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌz,ꢄꢁꢉꢠꢄđꢕểꢑꢄIꢰ2,6,-3ꢲꢄꢇꢆꢄꢁꢊꢁꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔ:

: x

2

0;

: z

đꢕꢄqꢋꢐꢄđꢕểm I

3

0

.

Tꢢꢠꢎꢔꢄꢁꢊꢁꢄꢑệꢎꢉꢄđꢳꢄꢟꢐꢋ,ꢄꢂꢦꢑꢄꢑệꢎꢉꢄđꢳꢄꢟꢐꢕ:

A.

B. ( ) Oz

C.

/ / xOz

3z

D.

Câu 93. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz .ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢅꢆꢄ

x

2

0

ꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕ:

A. Trꢫc Oy. B. Trꢫc Oz. C. Mꢒt phꢓng Oxy.

D. Trꢫc Ox.

Câu 94. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄOxꢌz,ꢄꢁꢉꢠꢄꢰꢬꢲ:ꢄ2x-y+2z-4=0.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢰꢬꢲ.

A.

2z 1 B. 2x z 1 C. 2x 2z D. 4x 2y 4z 1 0

x

y

0

y

0

y

4

0

Câu 95. ꢙꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ): 3x + 2y –z + 1 = 0 và ( '): 3x + y + 11z –1 = 0

A. Song song vꢘi nhau

B.Vuông góc vꢘi nhau.

C. Trùng nhau

D. Cꢭꢂꢄꢎꢉꢐꢋꢄꢎꢉꢜꢎꢔꢄꢚꢉꢖꢎꢔꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘi nhau

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Câu 96. TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄOxꢌz,ꢄꢁꢉꢠꢄꢰꢬꢲ:ꢄ2x-y+2z-4=0.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢰꢬꢲ.

A.

x

4y

z

2

0

B.

x

4y

z

5

0

C.

x

4y

: m 3 x 2y 5m 1 z 10

D. Không có

m

z

2

0

D.

x

4y z 1

0

Câu 97. Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔ

ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢎꢉꢐꢋꢄꢚꢉꢕ:ꢄ

B. m 1

: 2x my 3z

6

m

0,

0

,ꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

A.

m

6

C.

m

0

Câu 98. Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ ꢇꢘꢕꢄ ꢉệꢄ ꢂꢢꢫꢁꢄ ꢂꢮꢐꢄ đꢥꢄ Oxyz, ꢁꢉꢠꢄ ꢉꢐꢕꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ (P) : x my 3z

4

0

và

(Q) : 2x

y

nz

9

0

.ꢄKꢉꢕꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P),(Q) ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢎꢉꢐꢋꢄꢂꢉꢦꢄꢔꢕꢊꢄꢂꢢịꢄꢁꢏꢐꢄ

m

n

bꢡꢎꢔ:

1

2

3

11

2

A.

B.

4

C.

D.

1

Câu 99. Cho mp(P): x –2y + 2z –3 = 0 và mp(Q): mx +y –2zꢄ+ꢄꢧꢄ=ꢄ0ꢄ.ꢄ ꢘꢕꢄꢔꢕꢊꢄꢂꢢịꢄꢎꢆꢠꢄꢁꢏꢐꢄꢑꢄꢂꢉꢦꢄ2ꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢇꢋꢖꢎꢔꢄ

góc :

6

A.

m

B.

m

6

C.

m

1

D.

m

1

Câu 100.Trong không gian Oxyz ,ꢄꢁꢉꢠꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄbꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : x

và R : x 2y nz .ꢄTíꢎꢉꢄꢂổꢎꢔꢄm 2n ,ꢄbꢕꢍꢂꢄꢢꢡꢎꢔꢄ P  R và P / / Q

C. D.

6

y

z 1

0

,

Q : 2x my 2z

3

0

A.

0

B.

1

6

Câu 101.Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ : x y 2

z

4

0

và : x y 2

z

0. Tꢦꢑꢄꢔꢗꢁꢄꢉợꢈꢄbởꢕꢄαꢄꢇꢆꢄβ

0

A. 30

B. 45

C. 90

D. 60

Câu 102.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxyz ,ꢄđꢕểꢑM(1;2; 3) ꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔ(P) : x 2y 2z

ꢊꢁꢉꢄꢂừꢄđꢕểꢑꢄ đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) ꢁꢗꢄꢔꢕꢊꢄꢂꢢịꢄꢅꢆꢄ:

B.

3

0

.ꢄKꢉꢠảꢎꢔꢄ

ꢁ

M

A.

3

1

C.

4

D. 2

Câu 103.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxyz ꢁꢉꢠꢄđꢕểꢑꢄM(3;5; 8) ꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) : 6x 3y 2z 28

KꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄM đꢍꢎꢄ( ) bꢡꢎꢔ:ꢄ

0 .

4

7

41

7

45

7

A.

6

B.

C.

D.

Câu 104.Trong không gian Oxyz cho A 1;1;3 ,B 1;3;2 ,C 1;2;3 KꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄꢔốꢁꢄꢂꢮꢐꢄđꢥꢄOꢄꢂꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢰABCꢲꢄbꢡꢎꢔꢄ:ꢄ

3

2

3

2

A.

3

B.

C.

3

D.

Câu 105.KꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄAꢰ-ꢄꢧ;3;2ꢲꢄđꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰBCDꢲꢄꢇꢘꢕꢄB(4;0;- 3), C(5; - 1; 4), Dꢰ0;ꢄ6;ꢧꢲꢄꢄbꢡꢎꢔ:

7

2

86

72

76

72

87

72

77

A.

B.

C.

D.

Câu 106.Kꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢔꢕữꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : 2x

y

2z

1

0

và Q : 2x

y

2z

1

0

là?

2

3

1

5

3

2

A.

B.

C.

D.

5

Câu 107.Kꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢔꢕữꢐꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

A. B.

: x 2y

z

1

0

và

: x 2y

z

5

0

là

3

6

5

C.

2

D.

Câu 108.Kꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢔꢕữꢐꢄꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P :2x

A. B.

y

2z –ꢧ

0

ꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ Q : 2x

y

2z

D.

5

0 là :

6

1

C.

2

3

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Câu 109.Cho A,B,C ꢅầꢎꢄꢅꢜợꢂꢄꢅꢆꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢁꢏꢐꢄđꢕểꢑꢄS(4;1; 5) ꢂꢢꢣꢎꢄꢁꢊꢁꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ Oxy , Oyz , Ozx

.

ꢄKꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ

S

đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ ABC bꢡꢎꢔ:

4

2

0

1

20

21

A.

B.

C. 2 21

D.A,B,Cꢄđꢳu sai

Câu 110.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz , tam giác ABC có A 1,2, 1

,

B

2,1,0

,C 2,3,2 .ꢄĐꢕểꢑꢄ là

G

ꢂꢢꢮꢎꢔꢄꢂâꢑꢄꢁꢏꢐꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABC .Kꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ

A

đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ OGB bꢡꢎꢔꢄbꢐꢠꢄꢎꢉꢕꢣꢋꢄ?

3

174

29

2 174

29

4 174

D.

29

A.

B.

C.

2

9

Câu 111.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxyz,ꢄꢁꢉꢠꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔ

A 1;1;1 .ꢄKꢉꢕꢄđꢗꢄ ꢎꢉậꢎꢄꢔꢕꢊꢄꢂꢢịꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄđểꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄđꢕểꢑꢄA đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

hoꢒc B. C. D.

: x 2y 2z

m

0

ꢇꢆꢄđꢕểꢑ

m

bꢡꢎꢔꢄꢧ:

A.

2

8

2

3

Câu 112.Mꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢁꢗꢄꢇꢀꢁꢄꢂꢃꢄꢈꢉꢊꢈꢄꢂꢋꢌꢍꢎꢄ

n

=ꢄꢰꢧ;ꢄ2;ꢄ2ꢲꢄꢇꢆꢄꢁꢊꢁꢉꢄꢔốꢁꢄꢂꢮꢐꢄđꢥꢄOꢰ0ꢄ;ꢄ0ꢄ;ꢄ0ꢲꢄꢄꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄbꢡꢎꢔꢄ2ꢄꢁꢗꢄ

ꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ:

A.

B.

x

2y

2z

6

0;x

2y

2z – 2

2z

0

2y

2z – 6

2z – 2

2

C.

x

2y

0ꢄ;ꢄx

0;ꢄx

2y

2z

2

0

D.

2z

6

2z – 6

Câu 113.Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ ꢇꢘꢕꢄ ꢉệꢄ ꢂꢠꢯꢄ đꢥꢄ Oxyz ,ꢄ ꢔꢮꢕꢄ

ꢅꢆꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ ꢟꢠꢎꢔꢄ ꢟꢠꢎꢔꢄ ꢇꢘꢕꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ

.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

:

2x 4y 4z

3

0

ꢇꢆꢄꢁꢊꢁꢉꢄđꢕểꢑꢄA 2; 3;4 ꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄ

k

3

là:

A.

B.

C.

x

2y 2z 25

0

.

hoꢒc

x

2y 2z

7

0

.

2y 2z 25

.

2y 2z

7

0

D. 2x 4y 4z

5

0

hoꢒc 2x 4y 4z 13

0.

Câu 114.Tậꢈꢄ ꢉợꢈꢄ ꢁꢊꢁꢄ đꢕểꢑꢄ ꢂꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ Oxyz ꢁꢊꢁꢉꢄ đꢳꢋꢄ ꢉꢐꢕꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ P :x

Q :x 2z

là:

2z

B.

y

2z

3

0

và

y

5

0

A.

x

y

1

0

x

y

2z

4

0

C.

x

y

2z

2

0

D.

x

y

2z

4

0

Câu 115.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxꢌzꢄꢁꢉꢠꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) : 2x

y

2z

3

0

.ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

(

P) ꢇꢆꢄꢁꢊꢁꢉꢄđꢕểꢑꢄA(1;1;3) ꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄbꢡꢎꢔꢄ2.ꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢄ( ) là:

2z 1 B. 2x 2z C. 2x 2z 12 D. 2x

A. 2x

y

0

y

3

0

y

0

y

2z

9

0

Câu 116.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz,ꢄꢇꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢔꢕꢊꢄꢁꢏꢐꢄꢇꢀꢁꢂꢃꢄ

v

(1;6;2),ꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔ( ) : x 4y z 11

0

ꢇꢆꢄꢁꢊꢁꢉꢄđꢕểꢑꢄM(1; 3;2) ꢑꢥꢂꢄꢚꢉꢠảꢎꢔꢄbꢡꢎꢔꢄ

4

.

y

A.(P): 2x

B.(P): 2x

C.(P): 2x

2z

3

0

hoꢀc (P): 2x

y

2z

0

.

y

2z 21

0 .

2z 21

0 .

ĐT: 0934286923

Email: Emnhi1990@gmail.com

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

2z

D.(P): 2x

y

3

0

Câu 117.Tồꢎꢄꢂꢯꢕꢄbꢐꢠꢄꢎꢉꢕꢣꢋꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰαꢲ:ꢄx+ꢌ+z+ꢧ=0ꢄ,ꢄꢰβꢲꢄ:ꢄ2x-y+3z-4=0 sao cho

ꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄꢔốꢁꢄꢂꢮꢐꢄđꢥꢄđꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄbꢡꢎꢔꢄ 26

A.0

B.1

C.2

D. Vô số

Câu 118.Tồꢎꢄꢂꢯꢕꢄbꢐꢠꢄꢎꢉꢕꢣꢋꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) : 2x 3y

M(1;1;0)đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) bꢡꢎꢔꢄ3.

3z 7

0

ꢇꢆꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ

A.0

B.1

C.2

D. Vô số

Câu 119.Tồꢎꢄꢂꢯꢕꢄbꢐꢠꢄꢎꢉꢕꢣꢋꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) : 2x

M(1; 2;0) đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ( ) bꢡꢎꢔꢄ1.

y

2z

7

0

ꢇꢆꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ

A.0

B.1

C.2

D. Vô số

Câu 120.Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : x

là:

y

z

1

0, Q : x

y

z

5

0

.ꢄĐꢕểꢑꢄꢎꢡꢑꢄꢂꢢꢣꢎꢄOy ꢁꢊꢁꢉꢄđꢕꢳꢋꢄ

D. 0;2;0

P

và

Q

A. 0;3;0

B. 0; 3;0

C. 0; 2;0

Câu 121.Tꢢꢣꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ Oxy ,ꢄꢁꢉꢠꢄđꢕểꢑꢄEꢄꢁꢗꢄꢉꢠꢆꢎꢉꢄđꢥꢄbꢡꢎꢔꢄꢧ,ꢄꢂꢋꢎꢔꢄđꢥꢄꢎꢔꢋꢌꢣꢎꢄꢇꢆꢄꢁꢊꢁꢉꢄđꢳꢋꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

2y : 2x

ꢇꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ .ꢄTꢮꢐꢄđꢥꢄꢁꢏꢐꢄEꢄꢅꢆ:

B. 1;0; 4

:

x

z

1

0

y

z

2

0

A. 1;4;0

C. 1;0;4

D. 1; 4;0

Câu 122.TꢦꢑꢄꢂậꢈꢄꢉợꢈꢄꢁꢊꢁꢄđꢕểꢑꢄꢂꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄOxyz ꢁꢊꢁꢉꢄđꢳꢋꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P :x 2y 2z

2z

ꢈꢉꢓꢎꢔꢄ Q :2x là:

3y 4z 3y 4z

7

0

ꢇꢆꢄꢑꢒꢂꢄ

y

1

0

x

8

0

x

8

0

A.

B.

C. 3x

y

6

0

D. 3x 3y 4z

8

0.

3

x

y

6

0

3x

y

6

0

Câu 123.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥOxyz , ꢁꢉꢠꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : x 2y

ꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđốꢕꢄxꢩꢎꢔꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ qꢋꢐꢄꢂꢢꢫꢁꢄꢂꢋꢎꢔ.ꢄKꢉꢕꢄđꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

2y z 1 B. 2y

z

1

0

Q

.ꢄGꢮꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ là

là ?

2y z 1

P

Q

A.

x

0

x

z

1

0

C.

x

2y

z

1

0

D.

x

0

Câu 124.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥOxyz , ꢁꢉꢠꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ P : 2x 3y 5z

ꢅꢆꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđốꢕꢄxꢩꢎꢔꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

4

0

.ꢄGꢮꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

Q

là ?

P

qꢋꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄOxz .ꢄKꢉꢕꢄđꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

Q

A. P : 2x 3y 5z

4

0

B. P : 2x 3y 5z

4

0

C. P : 2x 3y 5z

4

0

D. P : 2x 3y 5z

4

0

Câu 125.TꢢꢠꢎꢔꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxꢌz,ꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

C(0;0; 2)ꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

B(0;4;0)

ꢁꢭꢂꢄbꢐꢄꢂꢢꢫꢁꢄOx,ꢄOꢌ,OzꢄꢅầꢎꢄꢅꢜợꢂꢄꢂꢯꢕꢄbꢐꢄđꢕểꢑꢄA( 3;0;0) , ,

C. 4x 3y 6z 12 D. 4x 3y 6z 12

A. 4x 3y 6z 12

0

B. 4x 3y 6z 12

0

Câu 126.CꢉꢠꢄbꢐꢄđꢕểꢑꢄAꢰ0;ꢧ;2ꢲ,ꢄBꢰ3;0;ꢧꢲ,ꢄCꢰꢧ;0;0ꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰABCꢲꢄꢅꢆ:

A. 2x 3y 4z B. 2x 3y 4z C. 4x 6y 8x

2

0

2

0

2

0

D. 2x 3y 4x

1

0

Câu 127.Mꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄ3ꢄđꢕểꢑꢄM (1;0;0), N(0;2;0), P(0;0;2) ꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

x

y

z

x

y

z



A. 2x  y  z 1 0

B. x  2y  2z  2  0

C.   1

2 2

D.



2 2

1

CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

Câu 128.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢂꢮꢐꢄđꢥꢄOxꢌz,ꢄꢁꢉꢠꢄđꢕểꢑꢄMꢰ3;ꢄꢧ;ꢄ2ꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢁꢏꢐꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢁꢏꢐꢄMꢄ

ꢂꢢꢣꢎꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄꢅꢆ:ꢄ

A. -3x –y –2z =0

B. 2x + 6y + 3z –6 =0

C. 3x + y + 2z = 0

D. -2x –6y –3z –6 =0

Câu 129.CꢉꢠꢄđꢕểꢑꢄIꢰꢧ;ꢄ2;ꢄ5ꢲꢄ.GꢮꢕꢄMꢄ,ꢤꢄ,ꢬꢄꢅầꢎꢄꢅꢜợꢂꢄꢅꢆꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢁꢏꢐꢄđꢕểꢑꢄIꢄꢂꢢꢣꢎꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄꢄꢄꢄꢄꢄOxꢄ,Oꢌꢄ,ꢄOz,ꢄꢄꢈꢉꢜꢃꢎꢔꢄ

ꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰMꢤꢬꢲꢄꢅꢆ:

x

y z

A.   1

2 5

x

y

z

x

y

z

x

y

z

B .   1

1 2 5

C.   1

5 2 1

D.   1

2 1 5

1

Câu 130.CꢉꢠꢄđꢕểꢑꢄM(1,2,3) .GꢮꢕꢄA,B,C ꢅầꢎꢄꢅꢜợꢂꢄꢅꢆꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢁꢏꢐꢄMꢄꢂꢢꢣꢎꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄOx,Oy,Oz . ꢕꢍꢂꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ABC

A. 6x 3y 2z

6

0

B. 6x 3y 2z

6

0

C. 6x 3y 2z

3

0

D. 6x 3y 2z

3

0

Câu 131.Trong không gian Oxyz, ꢁꢉꢠꢄđꢕểꢑꢄMꢰ8,-2,4ꢲ.ꢄGꢮꢕꢄA,ꢄB,ꢄCꢄꢅầꢎꢄꢅꢜợꢂꢄꢅꢆꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢁꢏꢐꢄMꢄꢂꢢꢣꢎꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄOx,ꢄOꢌ,ꢄ

Oz.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄđꢕꢄqꢋꢐꢄbꢐꢄđꢕểꢑꢄA,ꢄBꢄꢇꢆꢄCꢄꢅꢆ:

A.

x

4y 2z

8

0

B.

x

4y 2z

8

0

C.

x

4y 2z

8

0

D.

x

4y 2z

8

0

Câu 132.CꢉꢠꢄđꢕểꢑꢄM(1,2,3) .GꢮꢕꢄA,B,C ꢅầꢎꢄꢅꢜợꢂꢄꢅꢆꢄꢉꢦꢎꢉꢄꢁꢉꢕꢍꢋꢄꢁꢏꢐꢄMꢄꢂꢢꢣꢎꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄOx,Oy,Oz . ꢕꢍꢂꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢟꢠꢎꢔꢄꢟꢠꢎꢔꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ ABC ꢇꢆꢄđꢕꢄqꢋꢐꢄ

A. 6x 3y 2z B. 6x 3y 2z 18

M

6

0

C. 6x 3y 2z

đꢕꢄqꢋꢐꢄđꢕểꢑꢄM 5;4;3 ꢇꢆꢄꢁꢭꢂꢄꢁꢊꢁꢄꢂꢕꢐꢄOx, Oy, Oz các

C. 5x 4y 3z 50 D.

6

0

D. 6x 3y 2z 7

0

Câu 133.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz ,ꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

đꢠꢯꢎꢄbꢡꢎꢔꢄꢎꢉꢐꢋꢄꢁꢗꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢅꢆ:

A.

x

y

z

12

0

B.

x

y

z

0

x

y

z

0

Câu 134.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz, cho A 2,0,0 ,B 1,1,1 .ꢄMꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢂꢉꢐꢌꢄđổꢕꢄqꢋꢐꢄA,Bꢄꢁꢭꢂꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄ

Ox, Oy ꢅầꢎꢄꢅꢜợꢂꢄꢂꢯꢕꢄBꢰ0;ꢄb; 0), C(0; 0; c) (b> 0, c>ꢄ0ꢲ.ꢄꢙệꢄꢂꢉꢩꢁꢄꢎꢆꢠꢄdꢜꢘꢕꢄđâꢌꢄꢅꢆꢄđꢞꢎꢔ.

1

b

1

c

A. bc 2 b

c

B. bc

C. b c bc

D. bc b c

Câu 135.MꢒꢂꢄꢈꢉꢓꢎꢔꢄꢎꢆꢠꢄꢟꢐꢋꢄđâꢌꢄꢁꢭꢂꢄꢁꢊꢁꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOx,ꢄOꢌ,ꢄOzꢄꢅầꢎꢄꢅꢜợꢂꢄꢂꢯꢕꢄA,ꢄB,ꢄCꢄꢟꢐꢠꢄꢁꢉꢠꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄABCꢄꢎꢉậꢎꢄđꢕểꢑꢄ

Gꢰꢧ;ꢄ2;ꢄꢧꢲꢄꢅꢆꢑꢄꢂꢢꢮꢎꢔꢄꢂâꢑ?

A. x + 2y + 2z -6 =0

B. 2x + y + 2z –6 =0

C. 2x + 2y + z –6=0

D. 2x + 2y + 6z –6 =0

Câu 136.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄOxyz,ꢄꢁꢉꢠꢄđꢕểꢑꢄAꢰ4;ꢄ5;ꢄ6ꢲ.ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄqꢋꢐꢄA,ꢄꢁꢭꢂꢄ

ꢊꢁꢄꢂꢢꢫꢁꢄꢂꢮꢐꢄđꢥꢄꢅầꢎꢄꢅꢜợꢂꢄꢂꢯꢕꢄI,ꢄJ,ꢄKꢄꢑꢆꢄAꢅꢆꢄꢂꢢựꢁꢄꢂâꢑꢄꢁꢏꢐꢄꢂꢐꢑꢄꢔꢕꢊꢁꢄIJK.

29 B. z 15 C. 4x 5y 6z 77

ꢁ

A. 2x 3y

z

0

x

y

0

D. Đꢊꢈꢄꢊꢎꢄꢚꢉꢊꢁꢄ

Câu 137.Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ ꢇꢘꢕꢄ ꢉệꢄ ꢂꢮꢐꢄ đꢥꢄ Oxyz,ꢄ ꢁꢉꢠꢄ bꢐꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ

: 2x 4y 5z

2

0,

:

x

2y 2z

1

0,

: 4x my

z

n

0

.ꢄĐểꢄ

C.

,

ꢁꢗꢄꢁꢉꢋꢎꢔꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢂꢉꢦꢄꢂổꢎꢔꢄ

D.

m

n

là:

A.

4

B.

8

Câu 138.Cꢉꢠꢄꢉꢐꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) : x 2y

z

4

0; (Q) : 2x

y

z

4

0

ꢇꢆꢄđꢕểꢑꢄMꢰ2;0;ꢧꢲ.ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄ

D. 3z

. ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄ

ꢈꢉꢓꢎꢔꢄꢰRꢲꢄqꢋꢐꢄMꢄꢇꢆꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄꢁꢏꢐꢄꢰꢬꢲꢄꢇꢆꢄꢰQꢲꢄꢅꢆ:ꢄ

A. 3x 3y 2z

8

0

B. 3x 3y 2z

8

,

0

C.

x

2y

z

4

0

x

y

1

0

Câu 139.Cꢉꢠꢄ3ꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ (P) : y 2z

4

0

(Q) : x 4y

5

0

,

(R) : 2x

z

7

0

ꢈꢉꢓꢎꢔꢄ( ) đꢕꢄqꢋꢐꢄꢔꢕꢐꢠꢄꢂꢋꢌꢍꢎꢄ2ꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢄ(P) ꢇꢆꢄꢰQꢲꢄđồꢎꢔꢄꢂꢉờꢕꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰRꢲ.ꢄ

6y 2z 11 B. 6y 2z 13 C. 2y 2z D.Đꢊꢈꢄꢊꢎꢄꢚꢉꢊꢁꢄ

A.

x

0

x

0

x

4

0

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CHUYÊN ĐỀ LUYỆN THI THPT QUỐC GIA 2016 – 2017 HÌNH KHÔNG GIAN OXYZ

2;1;3

Câu 140.Trong không gian Oxyz ꢁꢉꢠꢄꢂꢩꢄdꢕệꢎꢄ ABCD ꢁꢗꢄꢁꢊꢁꢄđꢝꢎꢉꢄ A 1;2;1 C 2; 1;1 ꢇꢆꢄđꢕểꢑꢄ

đꢍꢎꢄ bꢡꢎꢔꢄ

,

B

,

D 0;3;1 .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

ꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ đꢍꢎꢄ ꢄꢅꢆ:

2y 7z 15 4x 2y 7z

3z

P

đꢕꢄqꢋꢐꢄ2ꢄđꢕểꢑꢄA,B ꢟꢐꢠꢄꢁꢉꢠꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ

C

P

D

P

4

2

x

0

1

0

A.

B.

C. 4x 2y 7z 15

0

D. 2x 3z 5

0

5

0

2x 3z

5

0

Câu 141.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz ,ꢄꢁꢉꢠꢄ4ꢄđꢕểꢑA,B,C,D ꢇꢘꢕꢄ A(1; 1;2)

D(1;2;1) .ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) đꢕꢄqꢋꢐꢄA,B ꢟꢐꢠꢄꢁꢉꢠꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ

,

C

B(1;3;0)

đꢍꢎꢄ(P) bꢡꢎꢔꢄꢚꢉꢠảꢎꢔꢄ

C( 3;4;1)

, ,

ꢁ

ꢊꢁꢉꢄꢂừꢄ

2y 4z

2z

D

đꢍꢎꢄ(P) .

x

7

0

x

2y 4z

2z

7

0

x

2y 4z

2z

7

0

x

D.

2x

2y 4z

2z

7

5

0

A.

B.

C.

y

1

0

y

4

0

y

4

0

y

Câu 142.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢠꢯꢄđꢥꢄOxyz , cho ꢁꢊꢁꢄđꢕểꢑꢄM( 1;1;0),N(0;0; 2),E(1;1;1) .ꢄ ꢕꢍꢂꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄ

ꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) qua

M

và

N

,ꢄđồꢎꢔꢄꢂꢉờꢕꢄꢚꢉꢠảꢎꢔꢄꢁꢊꢁꢉꢄꢂừꢄ

E

y

đꢍꢎꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(P) bꢡꢎꢔꢄ

3

.

x

7

y

z

2

0

x

y

z

2

0

x

z

2

0

x

D.

5x 7y

y

z

2

0

A.

B.

C.

x

5y

z

2

0

2x 5y

z

2

0

7x 5y

z

2

0

z

2

0

Câu 143.TꢢꢠꢎꢔꢄꢚꢉꢖꢎꢔꢄꢔꢕꢐꢎꢄꢇꢘꢕꢄꢉệꢄꢂꢮꢐꢄđꢥꢄOxyz ꢁꢉꢠꢄđꢕểꢑꢄM 1;0;0 và N 0;0; 1 ,ꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

P

qꢋꢐꢄđꢕểꢑꢄ

là:

0

M,N ꢇꢆꢄꢂꢯꢠꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ Q : x

y

4

0

ꢄꢑꢥꢂꢄꢔꢗꢁꢄbꢡꢎꢔꢄ45 .ꢄꢬꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ

P

y

2

0

y

2x

0

y

2x

y

2z

2

0

2x 2z

D.

2x 2z

2

0

A.

B.

C.

x

2z

2

0

2z

2

0

Câu 144.Tꢢꢠꢎꢔꢄ ꢚꢉꢖꢎꢔꢄ ꢔꢕꢐꢎꢄ ꢇꢘꢕꢄ ꢉệꢄ ꢂꢮꢐꢄ đꢥꢄ Oxyz ,ꢄ ꢁꢉꢠꢄ ꢉꢐꢕꢄ ꢑꢒꢂꢄ ꢈꢉꢓꢎꢔꢄ (P) : 5x 2y 5z 1

Q) : x 4y 8z 12 .ꢄLậꢈꢄꢈꢉꢜꢃꢎꢔꢄꢂꢢꢦꢎꢉꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄ(R) đꢕꢄqꢋꢐꢄꢔốꢁꢄꢂꢮꢐꢄđꢥꢄO,ꢄꢇꢋꢖꢎꢔꢄꢔꢗꢁꢄꢇꢘꢕꢄꢑꢒꢂꢄ

ꢈꢉꢓꢎꢔꢄꢰꢬꢲꢄꢇꢆꢄꢂꢯꢠꢄꢇꢘꢕꢄꢑꢒꢂꢄꢈꢉꢓꢎꢔꢄꢰQꢲꢄꢑꢥꢂꢄꢔꢗꢁꢄ

0

và

(

0



45

.

x

z

0

x

z

0

x

z

0

x

z

0

A.

B.

C.

D.

20y 7z

0

20y 7z

0

20y 7z

0

20y 7z

0