عنقود تشابه في عدسات – جزء ت - عدسة مُكبّرة

2. مسألة هدف 2 – تلخيص

أكملوا الجدول التالي وفقًا للمعطيات والحسابات في مسألة هدف 1، وتوصّلوا إلى التعميم:

بند في مسالة هدف 1	بُعد البؤرة عن مركز العدسة ( $f$ )	بُعد الشمعة عن مركز العدسة ( $AO$ )	نسبة: $\Large\frac{AO}{f}\normalsize=k$	نسبة بين طول الشمعة وطول صورة الشمعة $\Large\frac{AB}{HG}$
بند 2	3 سم	2 سم
بند 3	3 سم	0.75 سم
بند 4	3 سم			$\Large\frac{1}{2}$
التعميم	$f$	$AO$ $(0\lt AO\lt f)$

$\space$

فسّروا لماذا تكون الصورة أكبر من الشمعة نفسها، عندما يكون بُعد الشمعة عن مركز العدّسة، أصغر من بُعد البؤرة عن مركز العدسة $(0\lt AO\lt f)$ .

يُمكنكم الاستعانة بالتطبيق المُرفق.

إذا حليّتم مسألة هدف 2، انتقلوا إلى ماذا يمكن أن نسأل أيضًا.

يمكن تغيير مكان الشمعة بواسطة جرّ النقطة A الى اليمين وإلى اليسار.
يمكن تغيير ارتفاع الشمعة بواسطة جرّ النقطة B الى الأعلى والى الاسفل.
يمكن تعيين مثلثات مختلفة بواسطة اختيار لون المثلث في القائمة، واختيار 3 رؤوس.

مبنى العنقود

1. مسألة هدف 1
- 1.1 درجة 1
- 1.2 درجة 2
2. مسألة هدف 2 – تلخيص
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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