2014---2015數(shù)(iii)—2答案

1、20142015數(shù)(III)—2答案一填空題（每小題3分，共18分）1.2.3.0()xftdt?1dxdye??2100PQe??4..5.6.2233xyx??321?二交點：151()()6262??1.5661()(sin)323SDxdx????????2.526613(sin)(3)224Vxdx??????????三222zzyxyyxy??????????22zx????2222zzyyxyyx??????????222

2、224zxyy???????四22()860.01(33)400Lxyxyxxyy??????令，解得駐點()80.01(6)0()60.01(6)0xyLxyxyLxyxy????????(12080)0.060.010.06xxxyyyLLL??????由判別法知，是唯一極大值，從而是最大值(12080)L(12080)320L?五1.===2110yxdxedy???2100yydyedx???210yyedy??11(1)2e?

3、2.=(2)Dxydxdy????2Ddxdy???Dxdxdy???Dydxdy??=2sin20020sindrdr?????????==420162sin3d???????所以收斂。1nna???2(1)(01)[(1)]nnpnpn????????=111111.......3245(21)(2)ppppppnn????????顯然(1)0()[(1)]nnpnn??????且111(1)1112(21)(2)(21)2(21)