1.2. Интерполяционные формулы для равноотстоящих узлов
Если
значения функции
заданы в точках
с постоянным положительным шагом,
то часто используется интерполяционный
многочлен Ньютона для интерполяции
вперед
, (1.10)
где
,а конечные разности
,
носящие названия
нисходящих разностей, находят из
соотношений
,
.
Интерполяционный
многочлен (1.10) удобно использовать при
работе в начале таблицы значений функции
и для экстраполяции левее точки
.
Интерполяционный
многочлен с узлами
ãäå
,
имеет вид
(1.11)
и
называется интерполяционным многочленом
Ньютона для интерполяции назад. Его
удобно использовать при интерполяции
в конце таблицы и для экстраполяции
правее точки
.
Входящие в выражение (1.11) значения
конечных восходящих разностей находят
из соотношений
,
..............................................
.
Если
при заданном
в таблице значений функции
с шагом
имеется достаточное число узлов с каждой
стороны от
,
то целесообразно узлы интерполяции
выбрать так, чтобы точка
оказалась как можно ближе к середине
минимального отрезка, содержащего узлы.
При этом обычно в качестве
берется ближайший к
узел, затем за
принимается ближайший к
узел, расположенный с противоположной
от
стороны, чем
.
Следующие узлы назначаются поочередно
с разных сторон от
и должны быть расположены как можно
ближе к
.
Одной из возможных схем интерполяции
в этом случае является схема Стирлинга
с интерполяционным многочленом вида
В
этом выражении учитывается, что дано
нечетное число
значений функции
,
ãäå
.
Обычно эту формулу целесообразно
использовать при
.
Лабораторная работа ¹ 10
В соответствии с заданием, полученным от преподавателя, студентам необходимо разработать программу, обеспечивающую вычисление значения функции в заданных точках с использованием подходящих для каждого конкретного случая интерполяционных формул.
Вариант 2
x1
=
1.5380;
x2
=
1.6970;
x3
=
1.3350 X[
0]
=
0.2620 Y[
0]
= -0.1810 X[
1]
=
0.4190 Y[
1]
= -0.0450 X[
2]
=
0.5770 Y[
2]
= 0.0100 X[
3]
=
0.7340 Y[
3]
= 0.0090 X[
4]
=
0.8920 Y[
4]
= -0.0260 X[
5]
=
1.0490 Y[
5]
= -0.0720 X[
6]
=
1.2070 Y[
6]
= -0.1050 X[
7]
=
1.3640 Y[
7]
= -0.1020 X[
8]
=
1.5220 Y[
8]
= -0.0380 X[
9]
=
1.6790 Y[
9]
= 0.1060 X[10]
=
1.8370 Y[10]
= 0.3600
Вариант 1
x1
=
1.2120;
x2
=
1.4790;
x3
=
1.0150 X[
0]
=
0.2560 Y[
0]
= -0.1680 X[
1]
=
0.4090 Y[
1]
= -0.0420 X[
2]
=
0.5630 Y[
2]
= 0.0100 X[
3]
=
0.7170 Y[
3]
= 0.0080 X[
4]
=
0.8710 Y[
4]
= -0.0240 X[
5]
=
1.0240 Y[
5]
= -0.0670 X[
6]
=
1.1780 Y[
6]
= -0.0970 X[
7]
=
1.3320 Y[
7]
= -0.0940 X[
8]
=
1.4860 Y[
8]
= -0.0350 X[
9]
=
1.6390 Y[
9]
= 0.0990 X[10]
=
1.7930 Y[10]
= 0.3350
Вариант 3
x1
=
0.8110;
x2=0.3770;
x3=1.5480 X[
0]
=
0.2680 Y[
0]
= -0.1950 X[
1]
=
0.4290 Y[
1]
= -0.0480 X[
2]
=
0.5910 Y[
2]
= 0.0110 X[
3]
=
0.7520 Y[
3]
= 0.0100 X[
4]
=
0.9130 Y[
4]
= -0.0280 X[
5]
=
1.0740 Y[
5]
= -0.0770 X[
6]
=
1.2360 Y[
6]
= -0.1130 X[
7]
=
1.3970 Y[
7]
= -0.1090 X[
8]
=
1.5580 Y[
8]
= -0.0410 X[
9]
=
1.7190 Y[
9]
= 0.1140 X[10]
=
1.8810 Y[10]
= 0.3870
Вариант 4
x1
=
1.2230;
x2=1.6830;
x3=1.7640 X[
0]
=
0.2740 Y[
0]
= -0.2090 X[
1]
=
0.4390 Y[
1]
= -0.0510 X[
2]
=
0.6040 Y[
2]
= 0.0120 X[
3]
=
0.7690 Y[
3]
= 0.0100 X[
4]
=
0.9340 Y[
4]
= -0.0290 X[
5]
=
1.0990 Y[
5]
= -0.0820 X[
6]
=
1.2640 Y[
6]
= -0.1200 X[
7]
=
1.4290 Y[
7]
= -0.1170 X[
8]
=
1.5940 Y[
8]
= -0.0440 X[
9]
=
1.7590 Y[
9]
= 0.1230 X[10]
=
1.9240 Y[10]
= 0.4130
Вариант 6
x1
=
1.0980;
x2
=
1.8770;
x3
=
1.5130 X[
0]
=
0.2870 Y[
0]
= -0.2380 X[
1]
=
0.4590 Y[
1]
= -0.0590 X[
2]
=
0.6320 Y[
2]
= 0.0140 X[
3]
=
0.8040 Y[
3]
= 0.0120 X[
4]
=
0.9770 Y[
4]
= -0.0340 X[
5]
=
1.1490 Y[
5]
= -0.0940 X[
6]
=
1.3220 Y[
6]
= -0.1380 X[
7]
=
1.4940 Y[
7]
= -0.1340 X[
8]
=
1.6670 Y[
8]
= -0.0500 X[
9]
=
1.8390 Y[
9]
= 0.1400 X[10]
=
2.0120 Y[10]
= 0.4740
Вариант 7
x1
=
1.4980;
x2
=
0.4120;
x3
=
1.6840 X[
0]
=
0.2930 Y[
0]
= -0.2540 X[
1]
=
0.4690 Y[
1]
= -0.0630 X[
2]
=
0.6460 Y[
2]
= 0.0150 X[
3]
=
0.8220 Y[
3]
= 0.0130 X[
4]
=
0.9980 Y[
4]
= -0.0360 X[
5]
=
1.1740 Y[
5]
= -0.1010 X[
6]
=
1.3510 Y[
6]
= -0.1470 X[
7]
=
1.5270 Y[
7]
= -0.1420 X[
8]
=
1.7030 Y[
8]
= -0.0540 X[
9]
=
1.8790 Y[
9]
= 0.1500 X[10]
=
2.0560 Y[10]
= 0.5060
Вариант 8
x1
=
1.4870;
x2
=
0.5090;
x3
=
1.4530 X[
0]
=
0.2990 Y[
0]
= -0.2710 X[
1]
=
0.4790 Y[
1]
= -0.0670 X[
2]
=
0.6590 Y[
2]
= 0.0160 X[
3]
=
0.8390 Y[
3]
= 0.0140 X[
4]
=
1.0190 Y[
4]
= -0.0380 X[
5]
=
1.1990 Y[
5]
= -0.1070 X[
6]
=
1.3790 Y[
6]
= -0.1570 X[
7]
=
1.5590 Y[
7]
= -0.1520 X[
8]
=
1.7390 Y[
8]
= -0.0580 X[
9]
=
1.9190 Y[
9]
= 0.1590 X[10]
=
2.0990 Y[10]
= 0.5370
Вариант 5
x1
=
1.2510;
x2
=
1.1700;
x3
=
1.0870 X[
0]
=
0.2810 Y[
0]
= -0.2220 X[
1]
=
0.4490 Y[
1]
= -0.0550 X[
2]
=
0.6180 Y[
2]
= 0.0130 X[
3]
=
0.7870 Y[
3]
= 0.0110 X[
4]
=
0.9560 Y[
4]
= -0.0320 X[
5]
=
1.1240 Y[
5]
= -0.0880 X[
6]
=
1.2930 Y[
6]
= -0.1290 X[
7]
=
1.4620 Y[
7]
= -0.1250 X[
8]
=
1.6310 Y[
8]
= -0.0470 X[
9]
=
1.7990 Y[
9]
= 0.1310 X[10]
=
1.9680 Y[10]
= 0.4430
Вариант 9
x1
=
1.0530;
x2
=
0.4450;
x3
=
1.1550 X[
0]
=
0.3060 Y[
0]
= -0.2870 X[
1]
=
0.4890 Y[
1]
= -0.0710 X[
2]
=
0.6730 Y[
2]
= 0.0170 X[
3]
=
0.8570 Y[
3]
= 0.0140 X[
4]
=
1.0410 Y[
4]
= -0.0410 X[
5]
=
1.2240 Y[
5]
= -0.1140 X[
6]
=
1.4080 Y[
6]
= -0.1670 X[
7]
=
1.5920 Y[
7]
= -0.1610 X[
8]
=
1.7760 Y[
8]
= -0.0610 X[
9]
=
1.9590 Y[
9]
= 0.1700 X[10]
=
2.1430 Y[10]
= 0.5720
Вариант 11
x1
=
1.1600;
x2
=
2.1660;
x3
=
1.4620 X[
0]
=
0.3180 Y[
0]
= -0.3250 X[
1]
=
0.5090 Y[
1]
= -0.0800 X[
2]
=
0.7010 Y[
2]
= 0.0190 X[
3]
=
0.8920 Y[
3]
= 0.0160 X[
4]
=
1.0830 Y[
4]
= -0.0460 X[
5]
=
1.2740 Y[
5]
= -0.1290 X[
6]
=
1.4660 Y[
6]
= -0.1880 X[
7]
=
1.6570 Y[
7]
= -0.1820 X[
8]
=
1.8480 Y[
8]
= -0.0690 X[
9]
=
2.0390 Y[
9]
= 0.1910 X[10]
=
2.2310 Y[10]
= 0.6460
Вариант 10
x1
=
1.3020;
x2
=
1.5690;
x3
=
1.8350 X[
0]
=
0.3120 Y[
0]
= -0.3060 X[
1]
=
0.4990 Y[
1]
= -0.0760 X[
2]
=
0.6870 Y[
2]
= 0.0180 X[
3]
=
0.8740 Y[
3]
= 0.0150 X[
4]
=
1.0620 Y[
4]
= -0.0440 X[
5]
=
1.2490 Y[
5]
= -0.1210 X[
6]
=
1.4370 Y[
6]
= -0.1770 X[
7]
=
1.6240 Y[
7]
= -0.1720 X[
8]
=
1.8120 Y[
8]
= -0.0650 X[
9]
=
1.9990 Y[
9]
= 0.1800 X[10]
=
2.1870 Y[10]
= 0.6080
Вариант 13
x1
=
0.6190;
x2
=
1.3990;
x3
=
1.1000 X[
0]
=
0.3310 Y[
0]
= -0.3630 X[
1]
=
0.5290 Y[
1]
= -0.0900 X[
2]
=
0.7280 Y[
2]
= 0.0210 X[
3]
=
0.9270 Y[
3]
= 0.0180 X[
4]
=
1.1260 Y[
4]
= -0.0520 X[
5]
=
1.3240 Y[
5]
= -0.1440 X[
6]
=
1.5230 Y[
6]
= -0.2110 X[
7]
=
1.7220 Y[
7]
= -0.2040 X[
8]
=
1.9210 Y[
8]
= -0.0770 X[
9]
=
2.1190 Y[
9]
= 0.2150 X[10]
=
2.3180 Y[10]
= 0.7240
Вариант 14
x1
=
1.6510;
x2
=
1.3870;
x3
=
2.2260 X[
0]
=
0.3370 Y[
0]
= -0.3850 X[
1]
=
0.5390 Y[
1]
= -0.0950 X[
2]
=
0.7420 Y[
2]
= 0.0230 X[
3]
=
0.9440 Y[
3]
= 0.0190 X[
4]
=
1.1470 Y[
4]
= -0.0550 X[
5]
=
1.3490 Y[
5]
= -0.1530 X[
6]
=
1.5520 Y[
6]
= -0.2230 X[
7]
=
1.7540 Y[
7]
= -0.2160 X[
8]
=
1.9570 Y[
8]
= -0.0820 X[
9]
=
2.1590 Y[
9]
= 0.2270 X[10]
=
2.3620 Y[10]
= 0.7670
Вариант 12
x1
=
1.6960;
x2
=
1.8860;
x3
=
1.3400 X[
0]
=
0.3240 Y[
0]
= -0.3450 X[
1]
=
0.5190 Y[
1]
= -0.0850 X[
2]
=
0.7140 Y[
2]
= 0.0200 X[
3]
=
0.9090 Y[
3]
= 0.0170 X[
4]
=
1.1040 Y[
4]
= -0.0490 X[
5]
=
1.2990 Y[
5]
= -0.1360 X[
6]
=
1.4940 Y[
6]
= -0.1990 X[
7]
=
1.6890 Y[
7]
= -0.1930 X[
8]
=
1.8840 Y[
8]
= -0.0740 X[
9]
=
2.0790 Y[
9]
= 0.2030 X[10]
=
2.2740 Y[10]
= 0.6830
Вариант 17
x1
=
1.5610;
x2
=
1.7840;
x3=2.1280 X[
0]
=
0.3560 Y[
0]
= -0.4520 X[
1]
=
0.5690 Y[
1]
= -0.1120 X[
2]
=
0.7830 Y[
2]
= 0.0270 X[
3]
=
0.9970 Y[
3]
= 0.0230 X[
4]
=
1.2110 Y[
4]
= -0.0650 X[
5]
=
1.4240 Y[
5]
= -0.1800 X[
6]
=
1.6380 Y[
6]
= -0.2630 X[
7]
=
1.8520 Y[
7]
= -0.2540 X[
8]
=
2.0660 Y[
8]
= -0.0960 X[
9]
=
2.2790 Y[
9]
= 0.2680 X[10]
=
2.4930 Y[10]
= 0.9010
Вариант 15
x1
=
0.6070;
x2
=
1.6230;
x3
=
0.8430 X[
0]
=
0.3430 Y[
0]
= -0.4070 X[
1]
=
0.5490 Y[
1]
= -0.1010 X[
2]
=
0.7560 Y[
2]
= 0.0240 X[
3]
=
0.9620 Y[
3]
= 0.0200 X[
4]
=
1.1680 Y[
4]
= -0.0580 X[
5]
=
1.3740 Y[
5]
= -0.1620 X[
6]
=
1.5810 Y[
6]
= -0.2360 X[
7]
=
1.7870 Y[
7]
= -0.2280 X[
8]
=
1.9930 Y[
8]
= -0.0870 X[
9]
=
2.1990 Y[
9]
= 0.2400 X[10]
=
2.4060 Y[10]
= 0.8110
Вариант 16
x1
= 2.2960;
x2
=
0.9390;
x3
=
1.3920 X[
0]
=
0.3490 Y[
0]
= -0.4300 X[
1]
=
0.5590 Y[
1]
= -0.1060 X[
2]
=
0.7690 Y[
2]
= 0.0250 X[
3]
=
0.9790 Y[
3]
= 0.0220 X[
4]
=
1.1890 Y[
4]
= -0.0610 X[
5]
=
1.3990 Y[
5]
= -0.1710 X[
6]
=
1.6090 Y[
6]
= -0.2490 X[
7]
=
1.8190 Y[
7]
= -0.2410 X[
8]
=
2.0290 Y[
8]
= -0.0920 X[
9]
=
2.2390 Y[
9]
= 0.2540 X[10]
=
2.4490 Y[10]
= 0.8530
Вариант 18
x1
=
0.7600;
x2
=
2.0620;
x3=1.7640 X[
0]
=
0.3620 Y[
0]
= -0.4770 X[
1]
=
0.5790 Y[
1]
= -0.1180 X[
2]
=
0.7970 Y[
2]
= 0.0280 X[
3]
=
1.0140 Y[
3]
= 0.0240 X[
4]
=
1.2320 Y[
4]
= -0.0690 X[
5]
=
1.4490 Y[
5]
= -0.1900 X[
6]
=
1.6670 Y[
6]
= -0.2770 X[
7]
=
1.8840 Y[
7]
= -0.2680 X[
8]
=
2.1020 Y[
8]
= -0.1010 X[
9]
=
2.3190 Y[
9]
= 0.2820 X[10]
=
2.5370 Y[10]
= 0.9500
Вариант 19
x1
=
2.0690;
x2
=
2.0390;
x3=1.6990 X[
0]
=
0.3680 Y[
0]
= -0.5030 X[
1]
=
0.5890 Y[
1]
= -0.1240 X[
2]
=
0.8110 Y[
2]
= 0.0300 X[
3]
=
1.0320 Y[
3]
= 0.0250 X[
4]
=
1.2530 Y[
4]
= -0.0720 X[
5]
=
1.4740 Y[
5]
= -0.2000 X[
6]
=
1.6960 Y[
6]
= -0.2910 X[
7]
=
1.9170 Y[
7]
= -0.2820 X[
8]
=
2.1380 Y[
8]
= -0.1070 X[
9]
=
2.3590 Y[
9]
= 0.2970 X[10]
=
2.5810 Y[10]
= 1.0010
Вариант 20
x1
=
1.5370;
x2
=
1.7030;
x3=1.7400 X[
0]
=
0.3740 Y[
0]
= -0.5290 X[
1]
=
0.5990 Y[
1]
= -0.1310 X[
2]
=
0.8240 Y[
2]
= 0.0310 X[
3]
=
1.0490 Y[
3]
= 0.0270 X[
4]
=
1.2740 Y[
4]
= -0.0760 X[
5]
=
1.4990 Y[
5]
= -0.2100 X[
6]
=
1.7240 Y[
6]
= -0.3060 X[
7]
=
1.9490 Y[
7]
= -0.2970 X[
8]
=
2.1740 Y[
8]
= -0.1130 X[
9]
=
2.3990 Y[
9]
= 0.3130 X[10]
=
2.6240 Y[10]
= 1.0500
Вариант 22
x1=
1.4510;
x2
=
0.9480;
x3 =
2.4550 X[
0]
=
0.3870 Y[
0]
= -0.5830 X[
1]
=
0.6190 Y[
1]
= -0.1440 X[
2]
=
0.8520 Y[
2]
= 0.0350 X[
3]
=
1.0840 Y[
3]
= 0.0300 X[
4]
=
1.3170 Y[
4]
= -0.0840 X[
5]
=
1.5490 Y[
5]
= -0.2320 X[
6]
=
1.7820 Y[
6]
= -0.3380 X[
7]
=
2.0140 Y[
7]
= -0.3280 X[
8]
=
2.2470 Y[
8]
= -0.1240 X[
9]
=
2.4790 Y[
9]
= 0.3450 X[10]
=
2.7120 Y[10]
= 1.1610
Вариант 26
x1
=
1.3780;
x2
=
1.4350;
x3=1.7020 X[
0]
=
0.4120 Y[
0]
= -0.7030 X[
1]
=
0.6590 Y[
1]
= -0.1740 X[
2]
=
0.9070 Y[
2]
= 0.0420 X[
3]
=
1.1540 Y[
3]
= 0.0360 X[
4]
=
1.4020 Y[
4]
= -0.1010 X[
5]
=
1.6490 Y[
5]
= -0.2800 X[
6]
=
1.8970 Y[
6]
= -0.4080 X[
7]
=
2.1440 Y[
7]
= -0.3950 X[
8]
=
2.3920 Y[
8]
= -0.1500 X[
9]
=
2.6390 Y[
9]
= 0.4160 X[10]
=
2.8870 Y[10]
= 1.4010
Вариант 21
x1 = 1.6790;
x2
=
2.2880;
x3
=
2.3860 X[
0]
=
0.3810 Y[
0]
= -0.5540 X[
1]
=
0.6090 Y[
1]
= -0.1370 X[
2]
=
0.8380 Y[
2]
= 0.0330 X[
3]
=
1.0670 Y[
3]
= 0.0280 X[
4]
=
1.2960 Y[
4]
= -0.0800 X[
5]
=
1.5240 Y[
5]
= -0.2210 X[
6]
=
1.7530 Y[
6]
= -0.3220 X[
7]
=
1.9820 Y[
7]
= -0.3120 X[
8]
=
2.2110 Y[
8]
= -0.1180 X[
9]
=
2.4390 Y[
9]
= 0.3280 X[10]
=
2.6680 Y[10]
= 1.1050
Вариант 24
x1
=
2.5030;
x2
=
0.9080;
x3
=
0.5840 X[
0]
=
0.3990 Y[
0]
= -0.6420 X[
1]
=
0.6390 Y[
1]
= -0.1590 X[
2]
=
0.8790 Y[
2]
= 0.0380 X[
3]
=
1.1190 Y[
3]
= 0.0330 X[
4]
=
1.3590 Y[
4]
= -0.0920 X[
5]
=
1.5990 Y[
5]
= -0.2550 X[
6]
=
1.8390 Y[
6]
= -0.3720 X[
7]
=
2.0790 Y[
7]
= -0.3600 X[
8]
=
2.3190 Y[
8]
= -0.1370 X[
9]
=
2.5590 Y[
9]
= 0.3800 X[10]
=
2.7990 Y[10]
=
1.2750
Вариант 23
x1
=
1.4590;
x2
=
1.4070;
x3=1.3350 X[
0]
=
0.3930 Y[
0]
= -0.6120 X[
1]
=
0.6290 Y[
1]
= -0.1510 X[
2]
=
0.8660 Y[
2]
= 0.0370 X[
3]
=
1.1020 Y[
3]
= 0.0310 X[
4]
=
1.3380 Y[
4]
= -0.0880 X[
5]
=
1.5740 Y[
5]
= -0.2430 X[
6]
=
1.8110 Y[
6]
= -0.3550 X[
7]
=
2.0470 Y[
7]
= -0.3440 X[
8]
=
2.2830 Y[
8]
= -0.1300 X[
9]
=
2.5190 Y[
9]
= 0.3620 X[10]
=
2.7560 Y[10]
= 1.2190
Вариант 25
x1
=
1.7570;
x2
=
0.4700;
x3=1.5810 X[
0]
=
0.4060 Y[
0]
= -0.6710 X[
1]
=
0.6490 Y[
1]
= -0.1660 X[
2]
=
0.8930 Y[
2]
= 0.0400 X[
3]
=
1.1370 Y[
3]
= 0.0340 X[
4]
=
1.3810 Y[
4]
= -0.0970 X[
5]
=
1.6240 Y[
5]
= -0.2670 X[
6]
=
1.8680 Y[
6]
= -0.3900 X[
7]
=
2.1120 Y[
7]
= -0.3770 X[
8]
=
2.3560 Y[
8]
= -0.1430 X[
9]
=
2.5990 Y[
9]
= 0.3980 X[10]
=
2.8430 Y[10]
= 1.3370
Вариант 27
x1
=
2.4560;
x2
=
0.6530;
x3
=
1.9930 X[
0]
=
0.4180 Y[
0]
= -0.7360 X[
1]
=
0.6690 Y[
1]
= -0.1820 X[
2]
=
0.9210 Y[
2]
= 0.0440 X[
3]
=
1.1720 Y[
3]
= 0.0370 X[
4]
=
1.4230 Y[
4]
= -0.1060 X[
5]
=
1.6740 Y[
5]
= -0.2930 X[
6]
=
1.9260 Y[
6]
= -0.4270 X[
7]
=
2.1770 Y[
7]
= -0.4130 X[
8]
=
2.4280 Y[
8]
= -0.1570 X[
9]
=
2.6790 Y[
9]
= 0.4360 X[10]
=
2.9310 Y[10]
= 1.4670
Вариант 29
x1
=
1.7680;
x2
=
0.7320;
x3
=
1.8270 X[
0]
=
0.4430 Y[
0]
= -0.8760 X[
1]
=
0.7090 Y[
1]
= -0.2160 X[
2]
=
0.9760 Y[
2]
= 0.0530 X[
3]
=
1.2420 Y[
3]
= 0.0440 X[
4]
=
1.5080 Y[
4]
= -0.1260 X[
5]
=
1.7740 Y[
5]
= -0.3480 X[
6]
=
2.0410 Y[
6]
= -0.5080 X[
7]
=
2.3070 Y[
7]
= -0.4920 X[
8]
=
2.5730 Y[
8]
= -0.1870 X[
9]
=
2.8390 Y[
9]
= 0.5190 X[10]
=
3.1060 Y[10]
= 1.7460
Вариант 30
x1
=
0.4960;
x2
=
1.4310;
x3
=
1.2950 X[
0]
=
0.4490 Y[
0]
= -0.9140 X[
1]
=
0.7190 Y[
1]
= -0.2260 X[
2]
=
0.9890 Y[
2]
= 0.0540 X[
3]
=
1.2590 Y[
3]
= 0.0470 X[
4]
=
1.5290 Y[
4]
= -0.1310 X[
5]
=
1.7990 Y[
5]
= -0.3630 X[
6]
=
2.0690 Y[
6]
= -0.5300 X[
7]
=
2.3390 Y[
7]
= -0.5130 X[
8]
=
2.6090 Y[
8]
= -0.1950 X[
9]
=
2.8790 Y[
9]
= 0.5410 X[10]
=
3.1490 Y[10]
= 1.8160
Вариант 31
x1
=
1.3010;
x2
=
2.2450;
x3
=
2.1200 X[
0]
=
0.4560 Y[
0]
= -0.9500 X[
1]
=
0.7290 Y[
1]
= -0.2350 X[
2]
=
1.0030 Y[
2]
= 0.0570 X[
3]
=
1.2770 Y[
3]
= 0.0480 X[
4]
=
1.5510 Y[
4]
= -0.1380 X[
5]
=
1.8240 Y[
5]
= -0.3790 X[
6]
=
2.0980 Y[
6]
= -0.5520 X[
7]
=
2.3720 Y[
7]
= -0.5350 X[
8]
=
2.6460 Y[
8]
= -0.2020 X[
9]
=
2.9190 Y[
9]
= 0.5640 X[10]
=
3.1930 Y[10]
= 1.8940
Вариант 32
x1
=
2.7820;
x2
=
1.3080;
x3
=
2.2850 X[
0]
=
0.4620 Y[
0]
= -0.9910 X[
1]
=
0.7390 Y[
1]
= -0.2450 X[
2]
=
1.0170 Y[
2]
= 0.0590 X[
3]
=
1.2940 Y[
3]
= 0.0510 X[
4]
=
1.5720 Y[
4]
= -0.1430 X[
5]
=
1.8490 Y[
5]
= -0.3940 X[
6]
=
2.1270 Y[
6]
= -0.5750 X[
7]
=
2.4040 Y[
7]
= -0.5570 X[
8]
=
2.6820 Y[
8]
= -0.2110 X[
9]
=
2.9590 Y[
9]
= 0.5880 X[10]
=
3.2370 Y[10]
= 1.9750
Вариант 28
x1
=
2.2070;
x2
=
2.0030;
x3
=
0.5900 X[
0]
=
0.4240 Y[
0]
= -0.7700 X[
1]
=
0.6790 Y[
1]
= -0.1900 X[
2]
=
0.9340 Y[
2]
= 0.0460 X[
3]
=
1.1890 Y[
3]
= 0.0390 X[
4]
=
1.4440 Y[
4]
= -0.1110 X[
5]
=
1.6990 Y[
5]
= -0.3060 X[
6]
=
1.9540 Y[
6]
= -0.4460 X[
7]
=
2.2090 Y[
7]
= -0.4320 X[
8]
=
2.4640 Y[
8]
= -0.1650 X[
9]
=
2.7190 Y[
9]
= 0.4560 X[10]
=
2.9740 Y[10]
= 1.5300
Вариант 38
x1
=
3.3870;
x2
=
1.6760;
x3
=
1.2680 X[
0]
=
0.4990 Y[
0]
= -1.2540 X[
1]
=
0.7990 Y[
1]
= -0.3100 X[
2]
=
1.0990 Y[
2]
= 0.0750 X[
3]
=
1.3990 Y[
3]
= 0.0640 X[
4]
=
1.6990 Y[
4]
= -0.1800 X[
5]
=
1.9990 Y[
5]
= -0.4980 X[
6]
=
2.2990 Y[
6]
= -0.7270 X[
7]
=
2.5990 Y[
7]
= -0.7040 X[
8]
=
2.8990 Y[
8]
= -0.2680 X[
9]
=
3.1990 Y[
9]
= 0.7430 X[10]
=
3.4990 Y[10]
= 2.4920
Вариант 37
x1
=
3.2430;
x2
=
3.2460;
x3
=
2.6270 X[
0]
=
0.4930 Y[
0]
= -1.2060 X[
1]
=
0.7890 Y[
1]
= -0.2980 X[
2]
=
1.0860 Y[
2]
= 0.0730 X[
3]
=
1.3820 Y[
3]
= 0.0610 X[
4]
=
1.6780 Y[
4]
= -0.1740 X[
5]
=
1.9740 Y[
5]
= -0.4800 X[
6]
=
2.2710 Y[
6]
= -0.7000 X[
7]
=
2.5670 Y[
7]
= -0.6780 X[
8]
=
2.8630 Y[
8]
= -0.2570 X[
9]
=
3.1590 Y[
9]
= 0.7150 X[10]
=
3.4560 Y[10]
= 2.4050
Вариант 36
x1
=
1.7310;
x2
=
0.5420;
x3
=
3.0450 X[
0]
=
0.4870 Y[
0]
= -1.1600 X[
1]
=
0.7790 Y[
1]
= -0.2870 X[
2]
=
1.0720 Y[
2]
= 0.0700 X[
3]
=
1.3640 Y[
3]
= 0.0590 X[
4]
=
1.6570 Y[
4]
= -0.1680 X[
5]
=
1.9490 Y[
5]
= -0.4620 X[
6]
=
2.2420 Y[
6]
= -0.6740 X[
7]
=
2.5340 Y[
7]
= -0.6530 X[
8]
=
2.8270 Y[
8]
= -0.2470 X[
9]
=
3.1190 Y[
9]
= 0.6890 X[10]
=
3.4120 Y[10]
= 2.3130
Вариант 34
x1
=
1.7330;
x2
=
3.1310;
x3
=
1.8920 X[
0]
=
0.4740 Y[
0]
= -1.0750 X[
1]
=
0.7590 Y[
1]
= -0.2650 X[
2]
=
1.0440 Y[
2]
= 0.0640 X[
3]
=
1.3290 Y[
3]
= 0.0550 X[
4]
=
1.6140 Y[
4]
= -0.1550 X[
5]
=
1.8990 Y[
5]
= -0.4270 X[
6]
=
2.1840 Y[
6]
= -0.6230 X[
7]
=
2.4690 Y[
7]
= -0.6040 X[
8]
=
2.7540 Y[
8]
= -0.2300 X[
9]
=
3.0390 Y[
9]
= 0.6370 X[10]
=
3.3240 Y[10]
= 2.1360
Вариант 33
x1
=
2.0180;
x2
=
3.1920;
x3
=
3.2050 X[
0]
=
0.4680 Y[
0]
= -1.0320 X[
1]
=
0.7490 Y[
1]
= -0.2550 X[
2]
=
1.0310 Y[
2]
= 0.0620 X[
3]
=
1.3120 Y[
3]
= 0.0520 X[
4]
=
1.5930 Y[
4]
= -0.1490 X[
5]
=
1.8740 Y[
5]
= -0.4110 X[
6]
=
2.1560 Y[
6]
= -0.5990 X[
7]
=
2.4370 Y[
7]
= -0.5800 X[
8]
=
2.7180 Y[
8]
= -0.2200 X[
9]
=
2.9990 Y[
9]
= 0.6120 X[10]
=
3.2810 Y[10]
= 2.0580
Вариант 35
x1
=
1.1710;
x2
=
1.4190;
x3
=
1.8680 X[
0]
=
0.4810 Y[
0]
= -1.1150 X[
1]
=
0.7690 Y[
1]
= -0.2760 X[
2]
=
1.0580 Y[
2]
= 0.0670 X[
3]
=
1.3470 Y[
3]
= 0.0570 X[
4]
=
1.6360 Y[
4]
= -0.1620 X[
5]
=
1.9240 Y[
5]
= -0.4440 X[
6]
=
2.2130 Y[
6]
= -0.6480 X[
7]
=
2.5020 Y[
7]
= -0.6280 X[
8]
=
2.7910 Y[
8]
= -0.2370 X[
9]
=
3.0790 Y[
9]
= 0.6620 X[10]
=
3.3680 Y[10]
= 2.2240