Home/ Intrebari/Q 87056
Urmator
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BiaBianca
user (0)
Pe: 2014-07-03T04:42:45+03:00 In: In:

Problema Bac

*** QuickLaTeX cannot compile formula:

	\[\begin{array}{l}
	{\rm{Determinati numarul natural n pentru care aria triunghiului }}{{\rm{A}}_n},{A_{n + 1}},{A_{n + 2}}{\rm{ este egala cu 216}}{\rm{.}}\\
	{\rm{Formula]
	

*** Error message:
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\begin{array} on input line 9 ended by \end{document}.
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Emergency stop.

Eu am rezolvat asa:

    \[\Delta = \left( {\begin{array}{*{20}{c}} {{2^n}}&{{3^n}}&1\\ {{2^{n + 1}}}&{{3^{n + 1}}}&1\\ {{2^{n + 2}}}&{{3^{n + 2}}}&1 \end{array}} \right) = {2^n}\cdot({3^{n + 1}}) + \left( {{2^{n + 1}}} \right)\cdot\left( {{3^{n + 2}}} \right) + {3^n}\cdot({2^{n + 1}})\cdot\left( {{2^{n + 2}}} \right) - \left( {{3^{n + 2}}} \right)\cdot{2^n} - {3^n}\cdot\left( {{2^{n + 1}}} \right)\] 

*** QuickLaTeX cannot compile formula:

	\[\begin{array}{l}
	{\rm{Determinati masura x a unui unghi ascutit}}{\rm{, stiind ca]
	

*** Error message:
\begin{array} on input line 9 ended by \end{document}.
leading text: \end{document}
Improper \prevdepth.
leading text: \end{document}
Missing $ inserted.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Missing \cr inserted.
leading text: \end{document}
Missing $ inserted.
leading text: \end{document}
You can't use `\end' in internal vertical mode.
leading text: \end{document}
\begin{array} on input line 9 ended by \end{document}.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Emergency stop.

Similare

3 raspunsuri

  1. maestru (V)

    Mai departe la exercitiu 2)

    sinx-cosx=0\Leftrightarrow\ tgx=1 \Leftrightarrow\ x=pi/4+kpi.
    Cum x este ascutit convine doar unghiul pi/4 care asigura si faptul ca cos pi/4 !=0,atunci cand am impartit prin cos ca sa obtin tangenta!

    • 0
  2. user (0)

    Multumesc! Dar, la exercitiu 1 ce trebuie sa fac mai departe?

    • 0
  4. maestru (V)

    La prima problema formula pentru aria unui triunghi este \frac{1}{2}|delta|
    delta= \left | \begin{array} 2^n & 3^n & 1\\ 2\cdot 2^n & 3\cdot3^n& 1\\ 4\cdot 2^n & 9\cdot 3^n & 1\end{array} \right |

    Acum dam factor comun pe prima coloana 2^n,iar pe a doua
    3^n.

    delta=2^n\cdot 3^n \left | \begin{array} 1 & 1 & 1\\ 2 & 3 & 1\\ 4 & 9 & 1\end{array} \right | .

    Ultimul determinant face 2.Asadar \ delta=6^n\cdot 2\Leftrightarrow\ n=3

    • 0
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