II. PHAN BAI TAP
Cx'+e' Xy x^+e^
phang nao sau day tilp xiic vdi (S).
A. x + y - z + 3 = 0 B. x + y + x + 3 = 0 C. x + y + x + 3 = 0 D. x - y + x + 3 = 0
Phan II: (Phdn tu luan gom 2 cau, mdi cau 3 dilm).
Cdu 5. Cho ham sd f(x) = x +x + 2mx +1.
a) Khao sat ham sd vdi m = 1.
b) Xac dinh m dl ham sd cd cue dai va cue tilu.
CdM <J. Cho tii dien ABCD cd A(2, 1,-1);B(3, 0, 1);C(2,-1,3. a) Xac dinh mat phdng trung true cua doan thdng AB. b) Xac dinh tam va ban kinh mat cdu ngoai tiep tii dien tren.
De sd3
(Thdi gian lam bdi 90 phut)
Phan I. (Phdn trdc nghiem, gom 4 cau, mdi cau 0,5 dilm)
Cdu 1. Trong cac ham sd dudi day, ham sd nao la dao ham cua ham sd f(x) = sinx
+ cosx.
A. f(x) = sinx + cosx. B. f(x) = sinx - cosx. C. f(x) = -sinx + cosx. D. f(x) = -sinx - cosx.
Cdu 2. Trong cac ham sd dudi day, ham sd nao la nguyen ham cua ham sd
y = X + e*
A.I + e'' B. X + e^
Cx'+e' Xy.-x^+e^ 2 2
Cdu 3. Cho hai mat phdng (P): x + y + z - 3 = 0; (Q) : 2x -y +3z -3 = 0. Dilm nao
sau day thudc giao tuyen cua hai mat phdng.
A. ( 1 ; 1 ; 1 ) B. ( 1 ; - 1 ; 2 ) C. (2 ; 1 ; 0) D. (-2 ; 1 ; 0). C. (2 ; 1 ; 0) D. (-2 ; 1 ; 0).
Cdu 4. Trong cac dudng thdng sau day, dudng thdng nao vudng gdc vdi mat phdng
r;C + ; ; - l = 0
\2x-y + z-2 = 0
A. x - y 3 z + l = 0 B. x - y + 3 z + l = 0 C. X + y 3z + 1 = 0 D. -X - y 3z + 1 = 0
Phan II: (Phdn tu luan gom 2 cau, mdi cau 4 diem).
Cdu 5. Cho ham sd f(x) = - c o s x +—cos2x — cos5x — cos8x . ^ ^ 2 5 8
a) Giai phuong trinh f (x) = 0.
b)Tinh J/(x)rfr 6
f x + y - l = 0
Cdu 6. Cho hai dudng thang cd phuong trinh i va
[-X + 2_y - z + 2 = 0 r x - 2 > ' - z + l = 0
[ x - 2 3 ; - 3 = 0
a) Xdc dinh vi tri tuong ddi ciia hai dudng thdng tren. b) Tim dudng vudng gdc chung ciia hai dudng thdng dd.
De sd4
(Thdi gian lam bdi 90 phut)