אשכול מראות פרבוליות - מוקד, מדריך ומה שביניהם - חלק א - הקדמה

2.2. בעיית סיכום (בעיית רשות)

בסרטוט למטה נתון כי:

שיעורי נקודה F הם: $(0,2)$ , וישר m הוא הישר $y=-2$ .

נקודה A היא נקודה כלשהי, שמרחקה מנקודה F, שווה למרחקה מישר m.

AB מרחק נקודה A מישר m.

נקודה C נמצאת על AB כך שקטע FC מקביל לציר ה- x.

בטאו את הקטעים AF ו- AC באמצעות $y_A$ . נמקו תשובתכם.
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הוכיחו כי: $y_A=\Large\frac{1}{8}\normalsize (x_A)^2$
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מצאו את השיעורים של שלוש נקודות, שכל אחת מהן נמצאת במרחק שווה מנקודה F ומישר m.
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איזה גרף מתקבל מאוסף כל הנקודות שמרחקן מנקודה F שווה למרחקן מישר m?
נמקו תשובתכם.

אחרי שפתרתם את בעיית הסיכום (רשות), המשיכו להמשך הסיכום.

מבנה האשכול

1. בעיית מטרה 1
- 1.1 מדרגה 1
- 1.2 מדרגה 2
סיכום
2. בעיית מטרה 2 – סיכום (רשות)
המשך הסיכום
3. מה עוד אפשר לשאול?

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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