مشاهدة النسخة كاملة : مسالة اختلفنا علي حلها انا ومدرسي فارجو منكم حلها


حمو0
01-05-2011, 10:28 PM
نها 3أس س -9 علي 2 أ س -4 عندما س تؤول 2

الاستاذ على الدين يحيى
01-05-2011, 10:34 PM
المسألة تحل باستخدام اللوغاريتمات وهى غير مقررة فى المنهج
وموجود حلها سابقاً داخل قسم سؤال وجواب

حمو0
01-08-2011, 06:40 PM
نها {3^س -9 ÷ 3^س -3 } ×{2^س - 2} ÷ { 2^س -4} × {3^س -3} ÷ {2^س - 2}=نها 9{3^{س -2} -1}÷3{3^{س-1}1-1} ×2{2^{س -1} -1}÷4{2^{ س -2 }- 1} × { 3^2-3} ÷ {2^2-2}=9÷3 × {سس- 2}÷{س-1} ×2÷4× {س-1}÷{سس- 2} × 6÷2=9÷2=4.5
ولكن الحل الموجود سابقا كان 9÷4 ×لو3÷ لو2=3.6 ارجو توضيح الخطا
علمت منكم استاذي الفاضل انها غير مقرره ولكن انا احاول حلها وذلك لاني لم افهم الحل السابق وشكرا علي رد حضرتك علي واسال الله العظيم ان يحفظك ويبارك لك عمرك

مهيب الأرنؤوطى
01-15-2011, 06:30 AM
نأتي إن شاء الله لحل المسألة:
بأخذ الرقم 9 عامل مشترك من البسط والرقم 4 عامل مشترك من المقام
[/COLOR][/SIZE]
http://latex.codecogs.com/gif.latex?\dpi{150} limit=\frac{9}{4}\lim_{x\to2}\frac{3^x^-^2-1}{2^x^-^2-1}
بوضع http://latex.codecogs.com/gif.latex?\dpi{150} x-2=logy
فعندما http://latex.codecogs.com/gif.latex?\dpi{150} x \to 2 فإن http://latex.codecogs.com/gif.latex?\dpi{150} logy=0 ومنها http://latex.codecogs.com/gif.latex?\dpi{150} y \to 1
بضرب المعادلة في http://latex.codecogs.com/gif.latex?\dpi{150} log3
http://latex.codecogs.com/gif.latex?\dpi{150} \left ( x-2 \right )log3=log3\cdot logy
http://latex.codecogs.com/gif.latex?\dpi{150} 3^{x-2}=y^{log3}
وبالمثل بضرب نفس المعادلة في http://latex.codecogs.com/gif.latex?\dpi{150} log2 نحصل علي:
http://latex.codecogs.com/gif.latex?\dpi{150} 2^{x-2}=y^{log2}
النهاية تصبح:
http://latex.codecogs.com/gif.latex?\dpi{150} \frac{9}{4}\lim_{y\to1}\frac{y^log^3-1}{y^log^2-1}
وهذا يساوي
http://latex.codecogs.com/gif.latex?\dpi{150} \frac{9}{4}\times \frac{log3}{log2}

تم حل المسألة بحمد الله تعالي وعونه

abomadlin
01-20-2011, 11:10 PM
انت محمود مرسى ام لا

مهيب الأرنؤوطى
01-21-2011, 09:58 AM
http://alyeldeen.com/vb/progs4u/misc/quotes/quot-top-left.gifاقتباس:http://alyeldeen.com/vb/progs4u/misc/quotes/quot-top-right.gifhttp://alyeldeen.com/vb/progs4u/misc/quotes/quot-by-left.gifالمشاركة الأصلية كتبت بواسطة abomadlinhttp://alyeldeen.com/vb/progs4u/misc/quotes/quot-by-right.gifhttp://alyeldeen.com/vb/progs4u/misc/quotes/quot-top-right-10.gif انت محمود مرسى ام لا http://alyeldeen.com/vb/progs4u/misc/quotes/quot-bot-left.gifhttp://alyeldeen.com/vb/progs4u/misc/quotes/quot-bot-right.gifكلا يا أخي أنا لست هو

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05-15-2022, 03:46 PM
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