التصنيفات
مادة الرياضيات السنة الرابعة متوسط

مساعدة في حل تمرين رياضيات

السلام عليكم
أرجو المساعدة من فضلكم في حل هدا التمرين في مادة الرياضيات السنة الرابعة متوسط
يتمحور التمرين حول نظرية طالس
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هذا هوالتمرين
مسألة 1 :

وضعية إدماجية

( ضبط أضواء الإنارة لسيارة )
تعليمات الأمــان :
نفترض أنّ ضوء السيّارة يكون : * على الأقل يُنير 30m( حتى يضئ نوعا ما بعيداً ).
* على الأكثر يُنير 45m ( حتى لا يقلق السائقين القادمين ).

[IMG]file:///C:UserssamsungAppDataLocalTempmsohtmlclip1 1clip_image002.gif[/IMG]

نريد ضبط مصباح سيّارة بسرعة و لكن بدقّة . لهذا الغرض نضع السيّارة على أرض أفقية مواجهة لحائط عمودي .
حائط

( أنظر الشكل)،

مصباح السيّارة معرّف بالنقطة P ، و المسافة بين الأرض و المصباح هي HP .
نعتبر أنّ المصباح يرسل شعاع ضوئي موجّه إلى الأرض .مع غياب أي عائق ( كالحائط ) هذا الشعاع يصل إلى الأرض عند النقطة M ، و يصطدم بالحائط عند النقطة B .
ـ المسافة HM تسمى مدى الضوء .
ـ المثلث PHM قائم في H. في كل المسألة نعتبر أنّ المصباح على علو HP=0*6m و السيّارة على بعد 3m من الحائط .
1 / بيّن أنّ : [IMG]file:///C:UserssamsungAppDataLocalTempmsohtmlclip1 1clip_image004.gif[/IMG].
2 / أثبت أنّ : [IMG]file:///C:UserssamsungAppDataLocalTempmsohtmlclip1 1clip_image006.gif[/IMG].
3 / إذا وضعنا في الصندوق الخلفي للسيّارة أمتعة يكون الشعاع الضوئي على الحائط بعيدا عن الأرض مسافة 0*58m ـ أحسب مدى الضوء عندئذ .
ـ في هذه الحالة هل هناك خطر على السائقين القادمين ؟ علّل .
4 / نضع لبقية المسألة : [IMG]file:///C:UserssamsungAppDataLocalTempmsohtmlclip1 1clip_image008.gif[/IMG] ، و K هو مدى الضوء .

ـ بيّن باستعمال السؤال 2 أنّ : [IMG]file:///C:UserssamsungAppDataLocalTempmsohtmlclip1 1clip_image010.gif[/IMG] .

ـ إذا كانت المسافة [IMG]file:///C:UserssamsungAppDataLocalTempmsohtmlclip1 1clip_image012.gif[/IMG]، أحسب العدد K .
ـ هل المصباح ينير بما فيه الكفاية في هذه الحالة ؟ علّل .


اترك تعليقاً

لن يتم نشر عنوان بريدك الإلكتروني. الحقول الإلزامية مشار إليها بـ *

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