randRangeNonZero(-5, 5) randRangeNonZero(-5, 5) randRangeNonZero(-5, 5) randRangeNonZero(-5, 5)

Sean a y b números complejos:

\begin{align*} a &= REAL1 + COMPLEX1i \\ b &= REAL2 + COMPLEX2i \end{align*}

¿Cuánto es a+b?

graphInit({range:11,scale:20,tickStep:1,labelStep:1}),label([11,1],"Re","left"),label([.5,10],"Im","right"),line([0,0],[REAL1,COMPLEX1],{stroke:"#6495ed",arrows:"->"}),line([0,0],[REAL2,COMPLEX2],{stroke:"#28ae7b",arrows:"->"});var AF=1+.8/sqrt(REAL1*REAL1+COMPLEX1*COMPLEX1);label([AF*REAL1,AF*COMPLEX1],"a",{color:"#6495ed"});var BF=1+.8/sqrt(REAL2*REAL2+COMPLEX2*COMPLEX2);label([BF*REAL2,BF*COMPLEX2],"b",{color:"#28ae7b"}),addMouseLayer(),graph.guessPoint=addMovablePoint({constraints:{},snapX:.5,snapY:.5})
Arrastra el punto anaranjado para trazar tu respuesta.
graph.guessPoint.coord
return guess[0]===ANSWER[0]&&guess[1]===ANSWER[1]?!0:!1
graph.guessPoint.setCoord(guess)
[REAL1 + REAL2, COMPLEX1 + COMPLEX2]

Suma las componentes real e imaginaria por separado.

a + b = (REAL1 + REAL2) + (COMPLEX1 + COMPLEX2)i

line([REAL2,COMPLEX2],[REAL1+REAL2,COMPLEX1+COMPLEX2],{stroke:"#6495ed",arrows:"->"}),graph.guessPoint.toFront()

\hphantom{a + b} = REAL1 + REAL2 + COMPLEX1 + COMPLEX2i

line([0,0],[REAL1+REAL2,COMPLEX1+COMPLEX2],{stroke:"#ffa500",arrows:"->"}),graph.guessPoint.toFront(),graph.guessPoint.moveTo(REAL1+REAL2,COMPLEX1+COMPLEX2)
[REAL1 - REAL2, COMPLEX1 - COMPLEX2]

¿Cuánto es a-b?

Resta las componentes real e imaginaria por separado.

a - b = (REAL1 - REAL2) + (COMPLEX1 - COMPLEX2)i

line([REAL1,COMPLEX1],[REAL1-REAL2,COMPLEX1-COMPLEX2],{stroke:"#28ae7b",arrows:"->"}),graph.guessPoint.toFront()

\hphantom{a - b} = REAL1 - REAL2 + COMPLEX1 - COMPLEX2i

line([0,0],[REAL1-REAL2,COMPLEX1-COMPLEX2],{stroke:"#ffa500",arrows:"->"}),graph.guessPoint.toFront(),graph.guessPoint.moveTo(REAL1-REAL2,COMPLEX1-COMPLEX2)