1、oo=f K5 pZE 0杨建萍( 8EB, 710300) z = f (x, y)f =f ,K5 Bv 4, M I k5 l I. p=f K,#f a TaL?a+ a_ M,8C f XaB Xa Xs ) X X. =f5K p, f s./ YV+ 8 0 s=K5 pZE.Ba EE %=f KB1ZE, X |/ 05B/0+, + il %5.n T/ a| qa W TaL .1 (2011 M I5) !M x, y| x | + | y | 1,5z = x + 2yKvKlsY( )(A) 1, - 1 ( B) 2, - 2( C) 1, - 2 (D) 2,
2、- 1s L? M,|z = x + 2yAT “Sf ,Ly = -12x +z2,YVL M p ZEK. m1,5 T| x |+ | y | 1V U u. M “Sf Ly = -12x+z2,LVDaB H,sYzKvKl.zm ax = 2, zm in = - 2.#B. p=f K5 H,1=BQ TF aa LZ T H, V ZE, “Sf + il( a| qa ) X, P5 %.=ahEhE p=f K5KZE. !Eh NE,1i = |S.2 ( 2010 My I5) OF (- 2, 0)sYwLx2a2 - y2= 1(a 0)P,PwL iB,5OP#
3、FPKl( )( A) 3 - 2 3 ( B) 3+ 2 3( C) -74(D)74s y Hq (wL,# US1“ V hE|=5B5,7|OP # FPK5=Qf K5. a2+ 1 = 4, _ a2= 3, _wLZ#7#8 高中数学教与学x23- y2= 1.!P (x0, y0 ) (x0 3),5x203- y20 = 1,y20 =x203- 1,OP # FP = x0 (x0 + 2) + y20=43x20 + 2x0 - 1=43x0 +342-74.x0 3, x0 = 3 H, (OP #FP )m in = x0 (x0 + 2) + y20 = 3+ 2
4、3.#B. X1“,|=5BXB )X T B1 X.a EYV,|B=5eBf 5,G MBf r p=f K “.3 (2010 My I5) OFsYx24+y23= 1P,P iB,5OP # FPKv( )(A) 2 ( B) 3 ( C) 6 ( D) 8s y x24+y23= 1 ( ,# US1“ V ,7|OP#FPK5 f 5. !x = 2cosH, y = 3sin H(HI R),G5i,F (- 1, 0),#OP # FP = (x, y)# (x + 1, y)= x2+ x + y2= 4cos2H+ 2cosH+ 3sin2H= cos2H+ 2cosH+
5、 3.7t = cos HI - 1, 1,5OP # FP = t2+ 2t + 3 = (t + 1)2+ 2,t = 1 H, (OP # FP )m ax = 6. ( 1) E |=M 5BB5,V7 P5e;( 2)N59 VhE p.a ( TE5 “ Hq M xy H,f V AT M , Hq H, V ( T p.4 ( 2011 M I5) !x, y L, 4x2+ y2+ xy = 1,52x + yKv .s XHqM, /X0 “S2x + y. 4x2+ y2+ xy = 1,( 2x + y)2= 1 + 3xy = 1 +32# 2x# y 1 +322x
6、 + y22, (2x + y)2 1+322x + y22,( 2x + y)285, 2x + y 2 105. O2x = y O4x2+ y2+ xy = 1,x =1010, y =105H |. T %=f K5 H,B1i/B= M0, | Hq1i.aME5 ( 2011 M i I5)Xa 0,b 0, a + b = 2,5y =1a+4bKl ( )( A)72( B) 4 ( C )92( D) 5s |y =1a+4bMy =12#1a+4b# 2,Hq ( TV. y =1a+4b=12#1a+4b# 2#8#高中数学教与学 2012 Mes ) 李红春( 8q g
7、 u , 430331)s ) ; B1 XZE,9 B15 . V8 ,5B5, .s ) BV , N ,yNid %5 .V, 8s ) X H,1i X ,) z/s0/0a/ 0/80WPdB1“, s ! p5 .+ ye,V ?E s ) ./ Bt 8 L , es ) . 1 h 1 !0 0 Oa X 1, k1 | loga (1- x) | loga (1+ x) |vl. 0 log( 1+ x ) (1 + x ) = 1,_ | loga (1- x) | | loga (1 + x) |. ?ZE I n |,5s0 1 f ) . T5 F h ,E s )
8、. 2 “ 82 py = sin x + cos x + sin 2x (- P x 0)K. 7sin x + cos x = t,5sin 2x = ( sin x + cos x)2- 1 = t2- 1, y = t2+ t- 1 =t+122-54.t = sin x + cos x= 2sinx +P4(- P x 0),_ -34P x +P4P4,_ - 1 sin x +P422,_ - 2 t 1.#yKl-54,Kv1.=12#1a+4b# (a + b)=125+ba+4ba125+ 2ba#4ba=92. Oba=4ab, Oa + b = 2,a =23, b =43H,| .#C. iHq 1“, V FM,r Yr.9, p=f K, X =B)|5Be 51o,9 . ZE, p=f KZE, %5V, s8C X/ ?, 3f s1 = . H, a wL p59 #,8C “, BZ_.#9#8 高中数学教与学
