Esempio: blocchi di soluzione con vincoli

Blocchi di soluzione > Esempio: blocchi di soluzione con vincoli

Utilizzare blocchi di soluzione per la risoluzione di un sistema di equazioni con un vincolo

Considerare l'intersezione di un cerchio e una retta. Nel caso senza vincoli, i valori ipotizzati determinano la soluzione trovata, se esistono più soluzioni.

1. Inserire un blocco di soluzione, definire i valori ipotizzati e i vincoli e quindi utilizzare la funzione del solutore find per trovare il punto di intersezione tra la linea e il cerchio.

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2. Tracciare il cerchio, la retta e il punto di intersezione.

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Il grafico mostra che la soluzione corrisponde a uno dei due punti di intersezione, ma il solutore ha selezionato il punto più vicino ai valori ipotizzati.

3. Modificare i valori ipotizzati e ricalcolare la soluzione.

4. Tracciare il cerchio, la retta e il punto di intersezione.

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Il grafico mostra che la soluzione corrisponde al secondo punto di intersezione, perché il solutore ha selezionato il punto più vicino ai valori ipotizzati.

5. Introdurre un vincolo aggiuntivo di tipo x > a, dove a è costante. La regione a sinistra della retta non viene più presa in considerazione.

6. Tracciare il cerchio, la retta e il punto di intersezione. Utilizzare un indicatore verticale per mostrare la linea a.

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Il grafico mostra che la soluzione corrisponde al primo punto di intersezione, l'unico possibile perché il solutore deve soddisfare il nuovo vincolo.

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