4'- TRUoNG rHPr LE xoev Ot 1'fff 1'fftl DAI HOC - f,AN fff Nim hec z0t0-z0n MU*, ,oU*rlio\rfrort f::ryNurEN Cf,u 1: Cho him s6 y = -r' + 3x2 -4. (l) 1. Khio s6t sU bii5n thi€n vi v€ <16 thi (C) cua him sO (t). 2. Chrmg minh r6ng: Mgi duong thqg qua I(l; -2).v6ihp s6 g6c k < 3 dAu cit gO thi (C) tei ba di6m ph6n bigt trong d6 mQt diiAm h trung dii6m cria ttoan thAng n6i trai tti€m cdnl4i. Ciu2z l. Giaiphuongtrinh: tanx.tan3x a3=-2 - . I + cos2x 2. Giii phuong trinh: !* * =2. x ,12-x' 3 . Giai bAt phuong trinh: logo (9' - l).log* ,?, = j '22 Ciu 3: Tinh tich ph6n: f = Jd+sinr.* 0 Cffu 4: Cho hinh vu6ng ABCD c6 cenh ld ali. L6y H thuQc do4n AC sao cho ATI: a/2. Kd Hx *Qng g6c vqr (ABCD) vi 6y <Ii6m S thuQc Hx sao cho g6c ,lSC Uing 45o. Tinh b6n kfnh mat cdu ngo4i ti€p S.ABCD. ry, Ciu 5: ciai he phuong trinh: {f1. J7;)0 + '[v' +t) =t lzt' - yt +(l+3x212' +3x.22r * ! =2 CAU 6: l. Trong mat ph6ng vdi hq trgc to4 tlQ Oxy cho iludrng trdn (C): x ' + y' - 4x + 6y =36 . Dudng thang A qua f(-2:.0) vi cit duong trdn t4i hai <li€m P, Q. Vi6t phuong trinh cria A sao cho doan PQ ngin nhdt. 2. Trong kh6ng gian v6i hQ tryc to4 ttQ axyz. Cho A (-5; -3; 2); B(-2;0; -$;C(1; 0; -1). Lfp phucmg trinh mat phing qua OA vi chia tti di$n OABC thanh 2 ph,an c6 t1i s6 th€ tich bAng 2. (DiCm B thu$c ph6n c6 the tich lcm hon), www.violet.vn/haimathlx www.violet.vn/haimathlx . (l) 1. Khio s6t sU bii5n thi n vi v€ <16 thi (C) cua him sO (t). 2. Chrmg minh r6ng: Mgi duong thqg qua I(l; -2).v6ihp s6 g6c k < 3 dAu cit gO thi (C) tei ba di6m ph6n