matem2012-04-17mioo

ɇɛɭɠɧɛɭɣɥɛ. 9 ɥɦɛɬɬ. Ƚɛɫɣɛɨɭ 4

5

9ɋɠɳɣɭɠ ɮɫɛɝɨɠɨɣɠ x2 4x 12.

ɉɭɝɠɭ:

10 Ɉɛ ɥɛɥɩɧ ɫɣɬɮɨɥɠ ɣɢɩɜɫɛɡɠɨɩ ɧɨɩɡɠɬɭɝɩ ɫɠɳɠɨɣɤ ɬɣɬɭɠɧɶ ɨɠɫɛɝɠɨɬɭɝ
®­x2 4	0,
¯ 15 x3	0 ?
1)	2)
3)	4)

11 Ƚ ɥɩɫɩɜɥɠ 18 ɪɛɥɠɭɣɥɩɝ ɬ ɲɻɫɨɶɧ ɲɛɠɧ ɣ 7 ɪɛɥɠɭɣɥɩɝ ɬ ɢɠɦɻɨɶɧ ɲɛɠɧ. Ɋɛɝɠɦ ɨɛɮɞɛɟ ɝɶɨɣɧɛɠɭ. ɩɟɣɨ ɪɛɥɠɭɣɥ Ʌɛɥɩɝɛ ɝɠɫɩɺɭɨɩɬɭɷ, ɭɩɞɩ ɲɭɩ ɸɭɩ ɪɛɥɠɭɣɥ ɬ ɢɠɦɻɨɶɧ ɲɛɠɧ?

ɉɭɝɠɭ:

12 Ɉɛ ɥɫɮɞɩɝɩɤ ɟɣɛɞɫɛɧɧɠ ɪɩɥɛɢɛɨɩ, ɥɛɥ ɫɛɬɪɫɠɟɠɦɺɠɭɬɺɝ ( ɪɫɩɱɠɨɭɛɰ)

ɟɦɣɭɠɦɷɨɩɬɭɷ ɭɠɦɠɯɩɨɨɶɰ ɫɛɢɞɩɝɩɫɩɝ ɬɩɭɩɝɶɰ ɛɜɩɨɠɨɭɩɝ ɥɩɧɪɛɨɣɣ ɇɩɜɣɦ« ». Ʌɛɥɩɤ ɪɫɩɱɠɨɭ ɬɩɬɭɛɝɦɺɹɭ ɫɛɢɞɩɝɩɫɶ, ɟɦɣɭɠɦɷɨɩɬɭɷ ɥɩɭɩɫɶɰ ɨɠ ɪɫɠɝɶɳɛɠɭ 15 ɧɣɨɮɭ?

ɉɭɝɠɭ:

ɇɛɭɠɧɛɭɣɥɛ. 9 ɥɦɛɬɬ. Ƚɛɫɣɛɨɭ 4			6
13 Ƚ	ɛɫɣɯɧɠɭɣɲɠɬɥɩɤ ɪɫɩɞɫɠɬɬɣɣ a	n)	ɣɢɝɠɬɭɨɶ ɟɝɛ ɪɠɫɝɶɰ ɲɦɠɨɛ:
	(
a1	16, a2 24. Ʌɛɥɩɠ ɲɣɬɦɩ ɬɭɩɣɭ ɝ ɸɭɩɤ ɪɫɩɞɫɠɬɬɣɣ ɨɛ 61-ɧ ɧɠɬɭɠ?

ɉɭɝɠɭ:

14 Ƚ ɩɥɫɮɡɨɩɬɭɷ ɬ ɟɣɛɧɠɭɫɩɧ ȻD ɝɪɣɬɛɨ ɲɠɭɶɫɠɰɮɞɩɦɷɨɣɥ ȻȽ D. Ɉɛɤɟɣɭɠ ɝɠɦɣɲɣɨɮ ɮɞɦɛ ȻȽ , ɠɬɦɣ CAD 20 .

ɉɭɝɠɭ:

15Ɏɥɛɡɣɭɠ ɝ ɩɭɝɠɭɠ ɨɩɧɠɫɛ ɝɠɫɨɶɰ ɮɭɝɠɫɡɟɠɨɣɤ.

1)Ɍɫɠɟɨɺɺ ɦɣɨɣɺ ɭɫɛɪɠɱɣɣ ɫɛɢɜɣɝɛɠɭ ɠɻ ɨɛ ɟɝɛ ɭɫɠɮɞɩɦɷɨɣɥɛ.

2)ɀɬɦɣ ɝ ɪɫɺɧɩɮɞɩɦɷɨɣɥɠ ɟɣɛɞɩɨɛɦɣ ɪɠɫɪɠɨɟɣɥɮɦɺɫɨɶ, ɭɩ ɸɭɩɭ ɪɫɺɧɩɮɞɩɦɷɨɣɥ – ɥɝɛɟɫɛɭ.

3)Ʌɛɭɠɭ ɪɫɺɧɩɮɞɩɦɷɨɩɞɩ ɭɫɠɮɞɩɦɷɨɣɥɛ ɧɠɨɷɳɠ ɠɞɩ ɞɣɪɩɭɠɨɮɢɶ.

4)ɉɭɨɩɳɠɨɣɠ ɟɦɣɨ ɞɣɪɩɭɠɨɮɢ ɟɝɮɰ ɪɩɟɩɜɨɶɰ ɪɫɺɧɩɮɞɩɦɷɨɶɰ ɭɫɠɮɞɩɦɷɨɣɥɩɝ ɫɛɝɨɩ ɥɩɸɯɯɣɱɣɠɨɭɮ ɪɩɟɩɜɣɺ.

ɉɭɝɠɭ:

© ɇɃɉɉ 2012 ɞ. Ɋɮɜɦɣɥɛɱɣɺ ɝ Ƀɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɇɃɉɉ ɢɛɪɫɠɴɠɨɛ

© ɇɃɉɉ 2012 ɞ. Ɋɮɜɦɣɥɛɱɣɺ ɝ Ƀɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɇɃɉɉ ɢɛɪɫɠɴɠɨɛ

ɇɛɭɠɧɛɭɣɥɛ. 9 ɥɦɛɬɬ. Ƚɛɫɣɛɨɭ 4		7
16 Ɉɛ ɫɣɬɮɨɥɠ ɣɢɩɜɫɛɡɻɨ ɞɫɛɯɣɥ ɯɮɨɥɱɣɣ y	x2 4. Ʌɛɥɣɠ ɣɢ ɟɛɨɨɶɰ
ɪɫɺɧɶɰ ɨɠ ɣɧɠɹɭ ɬ ɞɫɛɯɣɥɩɧ ɸɭɩɤ ɯɮɨɥɱɣɣ ɨɣ ɩɟɨɩɤ ɩɜɴɠɤ?		ɭɩɲɥɣ
Ɏɥɛɡɣɭɠ ɣɰ ɨɩɧɠɫɛ.

1) Y = X

2) Y = X + 5

3) Y = 4

4) X = – 3

5) Y = 10

ɉɭɝɠɭ:

ɉɭɝɠɭɶɥ ɢɛɟɛɨɣɺɧ		17	18 ɢɛɪɣɳɣɭɠɝ ɜɦɛɨɥ ʌ 2.
17	Ƀɢ ɯɩɫɧɮɦɶ l l	(1	t) ɝɶɫɛɢɣɭɠ l			.
	0				0
			­	5	x2	0,
18	ɋɠɳɣɭɠ ɬɣɬɭɠɧɮ ɨɠɫɛɝɠɨɬɭɝ ¯®			1	x	2.

ɒɛɬɭɷ 2

Ɋɫɣ ɝɶɪɩɦɨɠɨɣɣ ɢɛɟɛɨɣɤ 19-23 ɣɬɪɩɦɷɢɮɤɭɠ ɩɭɟɠɦɷɨɶɤ ɦɣɬɭ (ɜɦɛɨɥ). Ɍɨɛɲɛɦɛ ɮɥɛɡɣɭɠ, ɨɩɧɠɫ ɢɛɟɛɨɣɺ ɛ ɢɛɭɠɧ ɢɛɪɣɳɣɭɠ ɠɞɩ ɫɠɳɠɨɣɠ.

19 Ɍɩɥɫɛɭɣɭɠ ɟɫɩɜɷ: 2a 27b2 12a2 3b.

2a 3b

20Ɋɫɩɭɣɝɩɪɩɦɩɡɨɶɠ ɮɞɦɶ ɲɠɭɶɫɻɰɮɞɩɦɷɨɣɥɛ ɪɩɪɛɫɨɩ. ɫɛɝɨɶ ȿɩɥɛɡɣɭɠ, ɲɭɩ ɩɨ ɪɛɫɛɦɦɠɦɩɞɫɛɧɧ.

ɇɛɭɠɧɛɭɣɥɛ. 9 ɥɦɛɬɬ. Ƚɛɫɣɛɨɭ 4

8

21ɇɠɡɟɮ ɲɣɬɦɛɧɣ 2 ɣ 72 ɝɬɭɛɝɷɭɠ ɭɫɣ ɲɣɬɦɛ, ɭɛɥ ɲɭɩɜɶ ɝɧɠɬɭɠ ɬ ɟɛɨɨɶɧɣ ɩɨɣ ɩɜɫɛɢɩɝɛɦɣ ɞɠɩɧɠɭɫɣɲɠɬɥɮɹ ɪɫɩɞɫɠɬɬɣɹ.

22Ɋɩɬɭɫɩɤɭɠ ɞɫɛɯɣɥ ɯɮɨɥɱɣɣ y x2 x5 6 ɣ ɩɪɫɠɟɠɦɣɭɠ, ɪɫɣ ɥɛɥɣɰ ɢɨɛɲɠɨɣɺɰ c ɪɫɺɧɛɺ y c ɣɧɠɠɭ ɬ ɞɫɛɯɣɥɩɧ ɫɩɝɨɩ ɭɫɣ ɩɜɴɣɠ. ɭɩɲɥɣ

23Ɉɛ ɥɛɡɟɩɤ ɣɢ ɟɝɮɰ ɩɥɫɮɡɨɩɬɭɠɤ ɬ ɫɛɟɣɮɬɛɧɣ 5 ɣ 12 ɦɠɡɛɭ ɪɩ ɭɫɣ ɝɠɫɳɣɨɶ. ɫɩɧɜɛ Ɉɛɤɟɣɭɠ ɠɞɩ ɬɭɩɫɩɨɮ.

© ɇɃɉɉ 2012 ɞ. Ɋɮɜɦɣɥɛɱɣɺ ɝ Ƀɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɇɃɉɉ ɢɛɪɫɠɴɠɨɛ

© ɇɃɉɉ 2012 ɞ. Ɋɮɜɦɣɥɛɱɣɺ ɝ Ƀɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɇɃɉɉ ɢɛɪɫɠɴɠɨɛ