Pyramiden | in Frage&Antwort | © bGeiring hGeiring v12 2013 |
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agraph ymin=-2.9; xyzAchsen( 5, 4, 5.5, 4.5 ); A=d3([2,-3,0]); B=d3([2,3,0]); C=d3([-2,3,0]); D=d3([-2,-3,0]); S=d3([0,1,3]); F=d3([0,1,0]); path([A,B,C,D,A]); stroke="green"; path([D,S,A]); path([C,S,B]); text(A, "A(2|-3|0)", "below" ); text(B, "B(2|3|0)", "below" ); text(C, "C(-2|3|0)", "below" ); text(S, "S(0|1|3)", "aboveright" ); text(F, "F(0|1|0)", "below" );stroke="red"; line(S,F); endagraph | Drücken Sie das Pyramidenvolumen mit Vektoren aus. |
agraph ymin=-2.9; xyzAchsen( 5, 4, 5.5, 4.5 ); A=d3([2,-3,0]); B=d3([2,3,0]); C=d3([-2,3,0]); D=d3([-2,-3,0]); S=d3([0,1,3]); F=d3([0,1,0]); path([A,B,C,D,A]); stroke="green"; path([D,S,A]); path([C,S,B]); text(A, "A(2|-3|0)", "below" ); text(B, "B(2|3|0)", "below" ); text(C, "C(-2|3|0)", "below" ); text(S, "S(0|1|3)", "aboveright" ); text(D, "D(-2|-3|0)", "below" ); text(F, "F(0|1|0)", "below" );stroke="red"; line(S,F); endagraph | Berechnen Sie den Winkel zwischen Ebene BCS und der `x_1x_2`-Ebene. |
agraph ymin=-2.9; xyzAchsen( 5, 4, 5.5, 4.5 ); A=d3([2,-3,0]); B=d3([2,3,0]); C=d3([-2,3,0]); D=d3([-2,-3,0]); S=d3([0,1,3]); F=d3([0,1,0]); path([A,B,C,D,A]); stroke="green"; path([D,S,A]); path([C,S,B]); text(A, "A(2|-3|0)", "below" ); text(B, "B(2|3|0)", "below" ); text(C, "C(-2|3|0)", "below" ); text(S, "S(0|1|3)", "aboveright" ); text(D, "D(-2|-3|0)", "below" ); text(F, "F(0|1|0)", "below" );stroke="red"; line(S,F); endagraph | Berechnen Sie den Winkel zwischen Gerade BS und der `x_1x_2`-Ebene. |