عنقود مرايا كقطوع مكافئة - بؤرة، دليل وما بينهما - جزء أ - مقدّمة

2.2. مسألة تلخيص (مسألة اختيارية)

معطى في الرسم أدناه:

إحداثيات النقطة F هي: $(0,2)$ , والمستقيم m هو المستقيم $y=-2$ .

النقطة A هي نقطة ما، بُعدّها عن النقطة F يساوي بُعدها عن المستقيم m.

AB بُعد النقطة A عن مستقيم m.

النقطة C واقعة على AB بحيث أن القطعة FC توازي محور x.

عبّروا عن القطعتين AF و-AC بواسطة $y_A$ . علّلوا جوابكم.
$\space$
برهنًوا أن: $y_A=\Large\frac{1}{8}\normalsize (x_A)^2$
$\space$
جدوا إحداثيات ثلاث نقاط، بُعدا كل واحدة منها عن نقطة F وعن المستقيم m متساويان.
$\space$
أي خد بياني ينتج من مجموع كل النقاط التي تبعد عن النقطة F يساوي بُعدها عن المستقيم m؟
علّلوا جوابكم.

إذا حليّتم مسألة التلخيص (اختياري), انتقلوا إلى تتمة لتلخيص.

مبنى العنقود

1. مسألة هدف 1
- 1.1 درجة 1
- 1.2 درجة 2
تلخيص
2. مسألة هدف 2 – تلخيص (اختياري)
تتمة لتلخيص
3. ماذا يمكن أن نسأل أيضًا؟

מאו”פ מתמטי

טלפון: 04-8288351
כתובת דוא”ל: maof@services.edu.haifa.ac.il
כתובת: החוג לחינוך מתמטי, הפקולטה לחינוך,
אוניברסיטת חיפה

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