De kiem tra 45'''''''' chuong 2 GT12 NC

§Ò kiÓm tra cuèi ch¬ng II M«n : Gi¶i tÝch 12 Thêi gian lµm bµi 45 phót §Ò 1 C©u 1 (4 ®iÓm ) .Cho ph¬ng tr×nh : cot cot (7 4 3) (7 4 3) x x m+ + − = 1. Gi¶i ph¬ng tr×nh víi m= 14 . 2. T×m m ®Ó ph¬ng tr×nh cã hai nghiÖm ph©n biÖt thuéc (0; π ). C©u 2(6 ®iÓm) . Gi¶i c¸c bÊt ph¬ng tr×nh vµ hÖ ph¬ng tr×nh sau : 1. 2 1 7.25 2 9.10 x x x+ + ≤ 2. 2 0,5 4 log (log ) 0 4 x x x + < + 3. 3 3 log log 2 2 2 4 4 4 4 2 ( ) log ( ) 1 log 2 log ( 3 )  = +   + + = + +   xy xy x y x x y §Ò kiÓm tra cuèi ch¬ng II M«n : Gi¶i tÝch 12 Thêi gian lµm bµi 45 phót §Ò 2 C©u 1 (4 ®iÓm ) .Cho ph¬ng tr×nh : tan tan (2 3) (2 3) x x m− + + = 1.Gi¶i ph¬ng tr×nh víi m=4 . 2.T×m m ®Ó ph¬ng tr×nh cã hai nghiÖm ph©n biÖt thuéc ; 2 2 π π −    ÷   . C©u 2 (6 ®iÓm) Gi¶i c¸c bÊt ph¬ng tr×nh vµ hÖ ph¬ng tr×nh sau : 1. 6.(9 4 ) 13.6 x x x + ≤ 2. 2 1 2 2 8 1 log (log ) 1 1 x x x + − ≥ − + 3. . 2 2 log log 3 2 2 3 3 9 3 2.( ) log ( ) l log ( 2) xy xy x y x y  = +   + = + + +   3 3 log log 2 2 2 4 4 4 4 2 ( ) log ( ) 1 log 2 log ( 3 )  = +   + + = + +   xy xy x y x x y . + 3. . 2 2 log log 3 2 2 3 3 9 3 2. ( ) log ( ) l log ( 2) xy xy x y x y  = +   + = + + +   3 3 log log 2 2 2 4 4 4 4 2 ( ) log ( ) 1 log 2 log (. 2. 2 0,5 4 log (log ) 0 4 x x x + < + 3. 3 3 log log 2 2 2 4 4 4 4 2 ( ) log ( ) 1 log 2 log ( 3 )  = +   + + = + +   xy xy x y x x y §Ò kiÓm tra