جديد في الرياضيات ساعدوني بللللللللللللللللللزز ربي يساعدكم

[younchi]

التمرين الأول: بين أن الدالة[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]قابلة للاشتقاق عند a ،ثم أكتب معادلة المماس للمنحني[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif[/IMG][IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image006.gif[/IMG] عند النقطة ذات الفاصلة a، في كل حالة :
1.[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image008.gif[/IMG]، a = +1
2.[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image010.gif[/IMG] ، a =0
3.[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image012.gif[/IMG] ، a = -1
التمرين الثاني : لتكن الدالة العد دية[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]للمتغير الحقيقي [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image015.gif[/IMG]المعرفة على[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image017.gif[/IMG]بـــــ: [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image019.gif[/IMG]
عين العددين الحقيقيينa،b حتى يقبل [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image021.gif[/IMG]النقطة [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image023.gif[/IMG] ذروة له
التمرين الثالث : أحسب[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image025.gif[/IMG]محددا مجموعة قيم [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image015.gif[/IMG]التي من أجلها يكون هذا الحساب ممكنا في كل حالة:
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image028.gif[/IMG]، [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image030.gif[/IMG]
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image032.gif[/IMG] ، [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image034.gif[/IMG]
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image036.gif[/IMG] ، [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image038.gif[/IMG]
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image040.gif[/IMG] ؛ [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image042.gif[/IMG]
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image044.gif[/IMG] ، [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image046.gif[/IMG]
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image048.gif[/IMG] ، [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image050.gif[/IMG]
التمرين الرابع:[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image052.gif[/IMG]عد د حقيقي و[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif[/IMG]المنحني ذو المعادلة :[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image055.gif[/IMG]

• عين قيم [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image052.gif[/IMG]حتى يقبل[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif[/IMG]عند النقطةAذات مماسا يعامد المستقيم ذو[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image058.gif[/IMG]
• من أجل[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image060.gif[/IMG] عين نقطة من المنحني يكون المماس عندها يوازي المستقيم ذو المعادلة [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image062.gif[/IMG]
• ما هي قيمة[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image052.gif[/IMG]حتى يقبل [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif[/IMG]عند النقطة ذات الفاصلة 5

مماسا يوازي المستقيم ذو المعدلة [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image065.gif[/IMG]
التمرين الخامس :أدرس قابلية الاشتقاق للدالة [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]عند [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image068.gif[/IMG]في الحالتين :

[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image070.gif[/IMG]، [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image072.gif[/IMG]
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image074.gif[/IMG]، [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image076.gif[/IMG]

التمرين السابع : [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]دالة معرفة على [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image017.gif[/IMG]بــ :[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image080.gif[/IMG]

• أعط تقريب تألفي للدالة [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]بجوار العدد 2-
• تحقق أن الخطأ المرتكب في هدا التقريب هو:[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image083.gif[/IMG]
• إذا كان [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image085.gif[/IMG]عين حصرا للخطأ المرتكب
• أعط الخطأ المرتكب في حساب [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image087.gif[/IMG]

التمرين الثامن : [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image089.gif[/IMG] دالتان معرفتان على[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image017.gif[/IMG]حيث
[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image092.gif[/IMG]و [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image094.gif[/IMG]،[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image021.gif[/IMG]و[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image097.gif[/IMG]المنحنيين الممثلين لهما في معلم متعامد ومتجانس

• بين أنه يوجد مستقيم [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image099.gif[/IMG]يمس المنحنيين في نقطةA

يطلب تعيين إحداثيتها

• أكتب معادلة المستقيم [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image099.gif[/IMG]
• أدرس وضعية كل من [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image021.gif[/IMG]و[IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image097.gif[/IMG]بالنسبة إلى المستقيم [IMG]file:///C:/DOCUME%7E1/younchi/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image099.gif[/IMG]