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1 | import geometry; | |
2 | ||
3 | size(9cm, 0); | |
4 | defaultpen(fontsize(10pt)); | |
5 | dotfactor = 4; | |
6 | ||
7 | - | pair A,B,B1,C; |
7 | + | point A,B,B1,O,C; |
8 | - | point O=origin; |
8 | + | |
9 | - | real r = 2; |
9 | + | B=(0,0); B1=-2*dir(80); |
10 | - | real x = 5/21; |
10 | + | circle circ = circle(B, B1); |
11 | - | circle circ = circle(O, r); |
11 | + | |
12 | - | B= point(circ, x*length(circ)); |
12 | + | |
13 | - | B1= point(circ, (x+1/2)*length(circ)); |
13 | + | A=point(circ, B-1/4*length(circ)); //не смог придумать решени, как от точки B отступить дугу 90 |
14 | ||
15 | fill(A--O--B--cycle, red+white); | |
16 | - | A=point(circ, (x+1/4)*length(circ) ); |
16 | + | |
17 | fill(A--O--C--B1--cycle, orange+white); | |
18 | ||
19 | markangle(Label("$\alpha$", Relative(0.5), align = NE), radius = 0.3cm, n=1, C,O,B); | |
20 | - | fill(arc(O,B1,C)--O--cycle, orange+white); |
20 | + | |
21 | - | fill(arc(O,A,B1)--O--cycle, orange+white); |
21 | + | |
22 | draw(B--C^^O--C^^O--A^^A--B); | |
23 | draw(circ); | |
24 | ||
25 | ||
26 | pair p []={A, B, B1, C, O}; | |
27 | pair v []={W, N, S, SE, SW}; | |
28 | string n []={"$A$", "$B$", "$B_1$", "$C$", "$O$"}; | |
29 | ||
30 | for ( int k=0; k<p.length ; ++k) | |
31 | dot ( Label (n[k] , align =v[k]) ,p[k ]); | |
32 | ||
33 | label(Label("$1$", Relative(0.5)), A--O); | |
34 | label(Label("$1$", Relative(0.5)), B--O); | |
35 | label(Label("$1$", Relative(0.5)), C--O); | |
36 | label(Label("$\sqrt2$", Relative(0.5), Rotate(dir(A--B)), align = N), A--B); | |
37 | label(Label("$\frac{10}3$", Relative(0.5), Rotate(dir(B--C)), align = NE), B--C); | |
38 | label("$S_1$", (A+O+B)/3); | |
39 | label("$S_2$", (C+O+B)/3); | |
40 | label("$S_3$", (3*A+3*O+C)/6); |