Processing math: 100%

אשכול מראות פרבוליות - מוקד, מדריך ומה שביניהם - חלק ג

2 בעיית מטרה 2 – סיכום

מלאו את הטבלה הבאה, ומצאו קשר בין הביטוי האלגברי לפרבולה המתאימה למראה הפרבולית, לבין המוקד שלה.
לשם כך נבחר נקודה על פרבולה (B).

(ניתן ללחוץ על הסרטוט ולהגדיל אותו)

ביטוי אלגברי של פרבולה	שיעורי נקודה $B$ על הפרבולה	שיעורי המוקד $(F)$
$p(x)=0.25x^2$	$(1,0.25)$
$p(x)=x^2$	$(1,1)$
$p(x)=2x^2$	$(1,2)$
$p(x)=4x^2$	$(1,4)$
$p(x)=ax^2$	$(1,a)$

ככל שהמראה הפרבולית רחבה יותר, האם המוקד יהיה קרוב יותר לקודקוד הפרבולה או רחוק יותר? נמקו תשובתכם.

אחרי שפתרתם את השאלות בבעיית מטרה 2, המשיכו למה עוד אפשר לשאול.

יישומון

בחרו את שיעור ה- x של נקודה B:
בעזרת גרירה של B על הפרבולה, או בעזרת הזזת סרגל הגרירה $x(B)$
שנו את ערכי סרגל הגרירה a, ובדקו את השפעת הערך של a על מיקום המוקד (F) ועל מיקום המדריך (ישר m)

מבנה האשכול

1. בעיית מטרה 1
- 1.1 מדרגה 1
- 1.2 מדרגה 2
2. בעיית מטרה 2
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

מפת אתר

באתר זה נעשה שימוש בתמונות ובסרטונים מתוך מאגר התמונות www.istockphoto.com.

אין להעתיק, לצלם או לשכפל את החומרים באתר זה או קטעים ממנו בשום אמצעי.

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