גאומטריה אנליטית

Esther Gruenhut, 5/7/2017

תרגילים המתאימים במהלך לימוד לקראת שתי היחידות האחרונות (807) של מתמטיקה 5 יחידות לימוד

Tabla de Contenidos

  1. חלוקת קטע ביחס נתון
    1. חלוקת קטע ביחס נתון
  2. ישרים
    1. ג1 עמוד 64 תרגיל 28
    2. invariant sum of squares
    3. ג1 עמוד 65 תרגיל 32
    4. ג1 עמוד 65 תרגיל 33
    5. ג1 עמוד 65 תרגיל 35
    6. ג1 עמוד 65 תרגיל 36
    7. תרגיל חזרה 1
    8. תרגיל חזרה 2
    9. תרגיל חזרה 3
    10. תרגיל חזרה 4
    11. תרגיל חזרה 6
    12. תרגיל חזרה 7
  3. מעגלים
    1. ג1 עמוד 100 תרגיל 17
    2. ג1 עמוד 108 תרגיל 18
    3. ג1 עמוד 111 תרגיל 14
    4. ג1 עמוד 111 תרגיל 16
    5. ג1 עמוד 115 תרגיל 5
    6. אמצעי מיתרים
  4. פרבולות
    1. focus and directrix
    2. angle between tangents to parabola
    3. tangent with given distance from focus
    4. מיתר בפרבולה
    5. points equidistant from given point and line
  5. ב אתגר
    1. שאלה 1
    2. שאלה 2
    3. שאלה 3

1.

חלוקת קטע ביחס נתון

  • 1. חלוקת קטע ביחס נתון

1.1.

חלוקת קטע ביחס נתון

– Esther Gruenhut

2.

ישרים

  • 1. ג1 עמוד 64 תרגיל 28
  • 2. invariant sum of squares
  • 3. ג1 עמוד 65 תרגיל 32
  • 4. ג1 עמוד 65 תרגיל 33
  • 5. ג1 עמוד 65 תרגיל 35
  • 6. ג1 עמוד 65 תרגיל 36
  • 7. תרגיל חזרה 1
  • 8. תרגיל חזרה 2
  • 9. תרגיל חזרה 3
  • 10. תרגיל חזרה 4
  • 11. תרגיל חזרה 6
  • 12. תרגיל חזרה 7

2.1.

ג1 עמוד 64 תרגיל 28

הצגת הבעייה ופתרון ראשון
דרך נוספת לפתרון
– Esther Gruenhut

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

2.11.

–

2.12.

–

3.

מעגלים

  • 1. ג1 עמוד 100 תרגיל 17
  • 2. ג1 עמוד 108 תרגיל 18
  • 3. ג1 עמוד 111 תרגיל 14
  • 4. ג1 עמוד 111 תרגיל 16
  • 5. ג1 עמוד 115 תרגיל 5
  • 6. אמצעי מיתרים

3.1.

ג1 עמוד 100 תרגיל 17

Given are two green lines, and a gray one.[br]Find the circles whose centers lie on the gray line, and are tangent to the green lines.[br][br]Use the scroll bar to unfold solution
נתונים שני ישרים ירוקים, וישר אפור[br]יש למצוא את משוואות המעגלים המשיקים לישרים הירוקים, ושמרכזיהם נמצאים על הישר האפור[br][br]העזרו בסרגל הגלילה
Find a point on [math]2x-y=1[/math] so that the area of the triangle is 25 square units.[br]יש למצוא על הישר [math]2x-y=1[/math] נקודה כך ששטח המשולש הוא 25 יחידות רבועות
– Esther Gruenhut

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

4.

פרבולות

  • 1. focus and directrix
  • 2. angle between tangents to parabola
  • 3. tangent with given distance from focus
  • 4. מיתר בפרבולה
  • 5. points equidistant from given point and line

4.1.

focus and directrix

Given point F (=focus), and line [math]\ell[/math] (=directrix).[br]Q is a point equidistant from the point and the line.[br]Try moving Q
Let [math]F=\left(\frac{p}{2},0\right)[/math], and [math]\ell:x=-\frac{p}{2}[/math].[br]How does changing the parameter [math]p[/math] affect the parabola?
And how about other points in the plane? [br][br]In the applet below, move around point P, and try to notice:[br]which points are closer to the focus, and which to the directrix?
– Esther Gruenhut

4.2.

–

4.3.

–

4.4.

–

4.5.

–

5.

ב אתגר

  • 1. שאלה 1
  • 2. שאלה 2
  • 3. שאלה 3

5.1.

שאלה 1

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[/img]
– Esther Gruenhut

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