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2026-09-13 10:27:09 +08:00
parent b810ec7777
commit 82311a47cc
52 changed files with 2563 additions and 1278 deletions
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+function fig_geo_q2_safe_disk()
+%FIG_GEO_Q2_SAFE_DISK  问题二：截断角域外接圆与保证接收的安全候选盘。
+
+    S = fig_style();
+    D = load_data(S, 'geo_q2');
+    H = geom_helpers();
+    fig = figure('Color', 'w', 'Visible', 'off');
+    t = tiledlayout(fig, 1, 2, 'TileSpacing', 'compact', 'Padding', 'compact');
+
+    % 左：真实几何（Ω 内的角域与两个候选圆）
+    ax1 = nexttile(t);
+    hold(ax1, 'on');
+    H.circle(ax1, [0 0], D.omega_r, pick_color(S, 'primary'), 1.2, '-');
+    hw = H.wedge(ax1, D.wedge, pick_color(S, 'accent'), 0.25);
+    hd = H.circle(ax1, D.c, D.a, pick_color(S, 'violet'), 1.2, '--');
+    hs = H.disk(ax1, D.c, D.safe, pick_color(S, 'success'), 0.30, '-');
+    H.marker(ax1, [0 0], pick_color(S, 'accent'), 6, true);
+    H.marker(ax1, D.c, pick_color(S, 'violet'), 5, true);
+    H.label_points(ax1, [0 0], {'s1'}, pick_color(S, 'accent'));
+    H.label_points(ax1, D.c, {'c'}, pick_color(S, 'violet'));
+    hold(ax1, 'off');
+    axis(ax1, 'equal');
+    xlim(ax1, [-D.half, D.half]);
+    ylim(ax1, [-D.half, D.half]);
+    xlabel(ax1, 'x / m');
+    ylabel(ax1, 'y / m');
+    legend(ax1, [hw, hd, hs], D.legend, 'Location', 'southoutside', ...
+           'Orientation', 'horizontal');
+
+    % 右：半径分解 a + (1000 − a) = 1000 m
+    ax2 = nexttile(t);
+    hold(ax2, 'on');
+    H.circle(ax2, [0 0], D.a, pick_color(S, 'violet'), 1.2, '--');
+    H.disk(ax2, [0 0], D.safe, pick_color(S, 'success'), 0.30, '-');
+    H.marker(ax2, [0 0], 'k', 5, true);
+    ang = deg2rad(35);
+    p_out = D.a * [cos(ang), sin(ang)];
+    p_in = D.safe * [cos(-ang), sin(-ang)];
+    H.arrow(ax2, [0 0], p_out, pick_color(S, 'violet'));
+    H.arrow(ax2, [0 0], p_in, pick_color(S, 'success'));
+    text(ax2, p_out(1) * 1.06, p_out(2) * 1.12, sprintf('a = %.1f m', D.a), ...
+         'Color', pick_color(S, 'violet'), 'Interpreter', 'none');
+    text(ax2, p_in(1) * 1.04, p_in(2) * 1.30, sprintf('1000 − a = %.1f m', D.safe), ...
+         'Color', pick_color(S, 'success'), 'HorizontalAlignment', 'right', ...
+         'Interpreter', 'none');
+    text(ax2, -D.safe * 0.45, 0, 'c', 'Color', 'k', ...
+         'HorizontalAlignment', 'right', 'VerticalAlignment', 'middle');
+    hold(ax2, 'off');
+    axis(ax2, 'equal');
+    xlim(ax2, [-D.a * 1.15, D.a * 1.75]);
+    ylim(ax2, [-D.a * 1.05, D.a * 1.05]);
+    axis(ax2, 'off');
+
+    fig_save(fig, S, 'geo-q2-guaranteed-reception-disk.png');
+end