1、课程回顾课程回顾+习题课习题课nnnxxxxfx 0),()(lim 其其它它0,)(101010 xxxxxxxxl njjjxlyx0)()(其它其它0,)(1101nnnnnxxxxxxxxl 其它其它0,)(111111iiiiiiiiiiixxxxxxxxxxxxxxxl)(max),(max,)()()(xfMxxhMhxxfxRbxaiini 11021其中8211)(xxfy5,0ixi 0)5,1,0(i)5.4(f0123451.000000.500000.200000.100000.058820.03846ix211iixy5,1(0 1,01)(0 xxxxl 1,15
2、,00 1,)1(,11)(iixiixixiixixxli)4,005,44)(xxxxln)(10000.0)(20000.0)(50000.0)()(3210 xlxlxlxlx)(03846.0)(05882.054xlxl)5.4(03846.0)5.4(05882.0)5.4()5.4(54llf5.003846.05.005882.004864.004706.0)5.4(f课程回顾课程回顾+习题课习题课1111)(iiiiiiiiMxxxxMxxxxxS)()(6)(6)()(11331iiiiiiiixxDxxCMhxxMhxxxS )()(6)()()()(6)()()(11
3、111331 iiiiiiiiiiiiiiiMxxMxxhhxfxxxfxxhMxxMxxxS)1,.,2,1(211 nidMMMiiiiii iiiiiihhh 1;1nnnnnnnnnMdddMdMMMM112201112212122212222)1,.,2,1(211 nidMMMiiiiii )()(6)()()()(6)()()(11111331 iiiiiiiiiiiiiiiMxxMxxhhxfxxxfxxhMxxMxxxS)1,.,2,1(211 nidMMMiiiiii iiiiiihhh 1;1nnnnnnnnnMdddMdMMMM112201112212122212222
4、iiiiiihhh11;nnnnnnnnnMdddMdMMMM112201112212122212222 6667.03333.0,3333.0,6667.02211 iiiiiihhh11;55526667.06667.0221MM 05.1790625.3580625.239125.53725.5975.1735625.1415.37875.321875.831875.72875.21)(232323xxxxxxxxxxS5.1,4.1 4.1,2.1 2.1,1.1 xxx)()(6)()()()(6)()()(11111331 iiiiiiiiiiiiiiiMxxMxxhhxfxxxf
5、xxhMxxMxxxS插值插值 习题习题030045060,2221050sin000050,60,45,30185,3,4,6233,47601.02343418522343185185185sin1L595006.03sin612931854185)sin(2118521R3,4,67654.0234363418561852234643185618521364631854185185185sin2L4000767.06cos99234318541856185)cos(6118532R13若 函 数 53)(47xxxxf,求 ,710 xxxf和,810 xxxf 1!7!7!72227710)(,)(ff0!80!82228810)(,)(ff解 有!因10,)(,)(nfxxxfnn ()()0.400.550.650.800.90()0.410750.578150.696750.88811 1.02652(0.596)kkf xshxxf xNewtonf例已知表如下用插值公式求的近似值。0.410751.1160(0.40)0.2800(0.40)(0.55)0.197(0.40)(0.55)(0.65)0.034(0.40)(0.55)(0.65)(0.80)0.596Pxxxxxxxxxxx代入得(0.596)(0.596)0.63192fP: