2016级二诊文科数学答案

1、宜宾市 2016 级高三第二次诊断性考试数 学（文史类） 试题参考答案12560123456789101112CDBBAACCBDAD452013. 314.3415.k, k7, k Z16.31212670217.1(1)4122212 124|23f ( x3 sin(x)0122k, kZ5122266(2)1f (x3 sin( 2x)6f (3 sin 2()3122123 sin264sin18402高 2016 级二诊测试题 (文科数学）第1 页共 4 页cos15104cos()2 sincos )215 13021242248181ABCDABAD CDBCM DEF MD

2、MF ,MDMEMEMFMMDMEF2MDEF6E F2ABCDAB BCBEBF1S MEF11 11S BEF221VMDEF1S MEFMD311232112319.1292x, y56.2y(万人）90888085( xix)( yiy)xiyi 8x y296.37065.4i1i171.888886053.8(xix)2( yiy)2( xix) 2( yiy)257.7i1i1i 1i 15038.34246.2299.3764043.3n3034.3( xix)( yiy)20ri 10.99nn10(xix) 2( yiy) 212345678xi1i 196n( xix)(

3、 yiy)296.33bi1a yb x 56.27.054.524.48n7.05,x)242(xii 1y 7.05x24.4810x9y7.05 9 24.47 87.93201987 .931220. 12( x 4)2y 24255x4x2y 21C6259高 2016 级二诊测试题 (文科数学）第2 页共 4 页A( x1 , y1 ) ld25x1| AF|4|AF|4d54x142d555x12y12129(1x1259y1)25|AN| AO|2|ON |2(x 2y2 ) 916 x 24 x1125151FAAN54 x1 4 x1555FBBN5FAFBAB10FAB1

4、0 .(,y1),B(x2,y2),k0, m0A x1m : y kxmx2y29m3, m29( k21)k21ykx mx2y 21259( 25k 29) x250kmx25m222500, x1x250km, x1 x225m222525k 225k 299ABk21 xxk 21(50km )2425m2225120kk 211225k2925k 2925k 29FAFB54 x54 x104 ( xx )1050km10120kk 21515251225k2925k 29FAFBAB10FAB1021.1x00a3f (x)ln xx23x1x0f(x)12x32x令f(x)0，

5、即 12x30解得x1或x1x21单调递增，在1，1)单调递增易知f ( x)在 ， ，)(02) (1,2函数f ( x)在x1处取得极小值1，在 x1 处取得极大值 ln 112242 f ( x)12 x 2a2 x22ax10xxxf ( x)0 2x22ax1 0g (x)2x 22ax1xa2a20a2aa2a423g( a2)2( a2) 22a(a2)11256高 2016 级二诊测试题 (文科数学）第3 页共 4 页4212a90af (x)a2.7aa2a42a4233a )a2a)a 2g(22a(1192242a 210f ( x)0f ( x).102a 210a2

6、a222a2x1(a2 ,a )f (x1 )0x2(a)f ( x2 )022g (a2)2(a 2) 22a (a 2)10g (a )2a 22a(a )10xg (x) 0242x ( a2 , x1 )f (x)0x(x1 x2 )f ( x)0x(x2)f ( x)02a22a21222. 102sin(3)3sin3 cos3, y3x3ly3x3y0M(1,0),M(1,)5x11 tl,2 , ty22 px33y t23t 24 pt 8 p 0,1t24 p1 28 pt3, t t32t2 )225t1t2Q| AB | | MB | | MA |, (t1t1 t2 , (t1t2 )(4 p )258 p ,p151033223. 10f ( x)b0xab,b0babxaab1a10b