אשכול דמיון בעדשות חלק ב - הכללה

1.1 מדרגה 1 לבעיית מטרה 1

בעיה 1.1.1

באשכול "דמיון בעדשות – חלק א", למדנו כי:

$OF=OF_1=f$

וכאשר $AO>f$ , מתקיים ש:

$\Large\frac{AB}{HG}\normalsize=\Large\frac{CO}{HG}\normalsize=\Large\frac{OF_1}{HF_1}$

$\Large\frac{AB}{HG}\normalsize=\Large\frac{AO}{OH}$

אילו טענות מהטענות הבאות נכונות?

אם הטענה נכונה-נמקו, אם לא, תקנו את הטענה כך שתהיה נכונה.

תוכלו להיעזר ביישומון המצורף.

$\Large\frac{AO}{OH}\normalsize=\Large\frac{OF_1}{HF_1}$
$\space$
אם $\Large\frac{AB}{HG}\normalsize>1$ , אז $OH>AO$
$\space$
$OH>OF$
$\space$
$f=OH-OF_1$
$\space$
אם $\Large\frac{AO}{f}\normalsize=k$ ו- $k>1$ , אז אורך הנר גדול יותר מאורך דמות הנר.

אחרי שפתרתם את השאלות במדרגה 1, חזרו לבעיית מטרה 1.
או, במידת הצורך, פתרו את השאלות במדרגה 2.

ניתן לשנות את מיקום הנר, על-ידי גרירת נקודה A ימינה ושמאלה.
ניתן לשנות את גובה הנר, על-ידי גרירת נקודה B למעלה ולמטה.
ניתן לסמן משולשים שונים, על-ידי בחירת צבע המשולש בתפריט, ובחירת 3 קודקודים.

מבנה האשכול

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

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