Работы по программированию

2026-07-28 09:56:54 +03:00
parent b85155ff95
commit 8602b7e845
73 changed files with 4090 additions and 0 deletions
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+#include <graphics.h>
+#include <conio.h>
+#include <stdio.h>
+#include <math.h>
+#include <winbgim.h>  // Äëÿ ðàáîòû ñ ãðàôèêîé íà Windows
+
+// Ôóíêöèÿ äëÿ ðàñ÷åòà çíà÷åíèÿ y = (x + 4)^2(x + 3) - 6
+double func(double x) {
+    return pow((x + 4), 2) * (x + 3) - 6;
+}
+
+int main() {
+
+    // Èíèöèàëèçàöèÿ ãðàôè÷åñêîãî ðåæèìà
+    int gd = DETECT, gm;
+    initgraph(&gd, &gm, "");
+
+    // Óñëîâèå çàäà÷è
+    setcolor(WHITE);
+    outtextxy(10, 10, "Íàéäèòå íàèáîëüøåå çíà÷åíèå ôóíêöèè y = (x+4)^2(x+3) - 6");
+    outtextxy(10, 30, "íà îòðåçêå [-5, -3.5].");
+
+    // Íàéäåì çíà÷åíèÿ ôóíêöèè â ãðàíè÷íûõ òî÷êàõ è êðèòè÷åñêèõ òî÷êàõ
+    double x1 = -5, x2 = -3.5;
+    double x_critical1 = -4, x_critical2 = -10.0 / 3.0;
+
+    double y1 = func(x1);
+    double y2 = func(x2);
+    double y_critical1 = func(x_critical1);
+    double y_critical2 = func(x_critical2);
+
+    // Íàéäåì íàèáîëüøåå çíà÷åíèå
+    double max_value = y1;
+    double max_x = x1;
+    if (y2 > max_value) {
+        max_value = y2;
+        max_x = x2;
+    }
+    if (y_critical1 > max_value) {
+        max_value = y_critical1;
+        max_x = x_critical1;
+    }
+    if (y_critical2 > max_value) {
+        max_value = y_critical2;
+        max_x = x_critical2;
+    }
+
+    // Âûâîä ðåøåíèÿ íà ýêðàí
+    char solutionText[500];
+    sprintf(solutionText, "Íàèáîëüøåå çíà÷åíèå ôóíêöèè = %.2f ïðè x = %.2f", max_value, max_x);
+    outtextxy(10, 50, solutionText);
+
+    // Ïîñòðîåíèå ãðàôèêà ôóíêöèè íà èíòåðâàëå [-5, -3.5]
+    setcolor(YELLOW);
+
+    // Íàéäåì ðàçìåðû ãðàôè÷åñêîãî îêíà
+    int width = getmaxx();
+    int height = getmaxy();
+    int graph_x_start = 50; // Ëåâûé êðàé ãðàôèêà
+    int graph_y_start = height / 2; // Ñðåäíÿÿ ëèíèÿ äëÿ îñè y
+    int graph_width = width - 100; // Øèðèíà ãðàôèêà
+
+    // Óñòàíîâèì ìàñøòàá ïî îñè X è Y
+    double x_scale = graph_width / (x2 - x1); // Ìàñøòàá ïî X
+    double y_scale = 30; // Ìàñøòàá ïî Y (çàâèñèò îò ôóíêöèè)
+
+    // Îòîáðàæàåì îñè
+    setcolor(WHITE);
+    line(graph_x_start, 0, graph_x_start, height); // Îñü Y
+    line(0, graph_y_start, width, graph_y_start);  // Îñü X
+
+    // Ðàçìåòêà (ñåòêà)
+    setcolor(LIGHTGRAY);
+    // Ãîðèçîíòàëüíûå ëèíèè (ïî Y)
+    for (int i = -5; i <= 5; i++) {
+        int y_line_pos = graph_y_start - i * y_scale;
+        line(0, y_line_pos, width, y_line_pos);
+        char label[10];
+        sprintf(label, "%d", i);
+        outtextxy(graph_x_start - 30, y_line_pos - 5, label);
+    }
+    // Âåðòèêàëüíûå ëèíèè (ïî X)
+    for (double i = x1; i <= x2; i += 0.5) {
+        int x_line_pos = graph_x_start + (int)((i - x1) * x_scale);
+        line(x_line_pos, 0, x_line_pos, height);
+        char label[10];
+        sprintf(label, "%.1f", i);
+        outtextxy(x_line_pos - 10, graph_y_start + 10, label);
+    }
+
+    // Îòðèñîâêà ôóíêöèè
+    setcolor(YELLOW);
+    for (int i = graph_x_start; i < graph_x_start + graph_width; i++) {
+        double x = x1 + (i - graph_x_start) / x_scale;
+        double y = func(x);
+        int graph_y = graph_y_start - (int)(y * y_scale);
+        putpixel(i, graph_y, YELLOW);
+    }
+
+    // Îòìå÷àåì òî÷êó ìàêñèìóìà
+    int max_graph_x = graph_x_start + (int)((max_x - x1) * x_scale);
+    int max_graph_y = graph_y_start - (int)(max_value * y_scale);
+    setcolor(RED);
+    circle(max_graph_x, max_graph_y, 5);
+    outtextxy(max_graph_x + 10, max_graph_y - 10, "Max");
+
+    // Çàïèñü ðåøåíèÿ â ôàéë
+    FILE *file = fopen("Ðåøåíèå_çàäà÷è.txt", "w");
+    if (file == NULL) {
+        printf("Îøèáêà ïðè îòêðûòèè ôàéëà!\n");
+        return 1;
+    }
+
+    fprintf(file, "Íàèáîëüøåå çíà÷åíèå ôóíêöèè íà îòðåçêå [-5, -3.5]:\n");
+    fprintf(file, "Ìàêñèìóì = %.2f ïðè x = %.2f\n", max_value, max_x);
+    fclose(file);
+
+    printf("Îòâåò çàïèñàí â ôàéë 'Ðåøåíèå_çàäà÷è.txt'.\n");
+
+    // Îæèäàíèå ââîäà äëÿ çàêðûòèÿ ãðàôè÷åñêîãî îêíà
+    getch();
+    closegraph();
+
+    return 0;
+}