Задание МА9 102012 РФ
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Ⱦɢɚɝɧɨɫɬɢɱɟɫɤɚɹ ɪɚɛɨɬɚ ʋ 1
ɩɨ ɆȺɌȿɆȺɌɂɄȿ
2 ɨɤɬɹɛɪɹ 2012 ɝɨɞɚ
9 ɤɥɚɫɫ
ȼɚɪɢɚɧɬ 7
Ɋɚɣɨɧ Ƚɨɪɨɞ (ɧɚɫɟɥɺɧɧɵɣ ɩɭɧɤɬ)
ɒɤɨɥɚ
Ʉɥɚɫɫ
Ɏɚɦɢɥɢɹ
ɂɦɹ
Ɉɬɱɟɫɬɜɨ
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 2 |
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ɂɧɫɬɪɭɤɰɢɹ ɩɨ ɜɵɩɨɥɧɟɧɢɸ ɪɚɛɨɬɵ |
Ɉɛɳɟɟ ɜɪɟɦɹ ɷɤɡɚɦɟɧɚ 4 ɱɚɫɚ (240 ɦɢɧɭɬ).
ȼɫɟɝɨ ɜ ɪɚɛɨɬɟ 26 ɡɚɞɚɧɢɣ, ɢɡ ɤɨɬɨɪɵɯ 20 ɡɚɞɚɧɢɣ ɛɚɡɨɜɨɝɨ ɭɪɨɜɧɹ (ɑɚɫɬɶ I) ɢ 6 ɡɚɞɚɧɢɣ ɩɨɜɵɲɟɧɧɨɝɨ ɭɪɨɜɧɹ (ɑɚɫɬɶ II).
Ɋɚɛɨɬɚ ɫɨɫɬɨɢɬ ɢɡ ɬɪɺɯ ɦɨɞɭɥɟɣ «Ⱥɥɝɟɛɪɚ», «Ƚɟɨɦɟɬɪɢɹ», «Ɋɟɚɥɶɧɚɹ ɦɚɬɟɦɚɬɢɤɚ». Ɇɨɞɭɥɶ «Ⱥɥɝɟɛɪɚ» ɫɨɞɟɪɠɢɬ 11 ɡɚɞɚɧɢɣ: ɜ ɱɚɫɬɢ I – 8 ɡɚɞɚɧɢɣ ɫ ɤɪɚɬɤɢɦ ɨɬɜɟɬɨɦ,
ɜɵɛɨɪɨɦ ɨɬɜɟɬɚ ɢ ɭɫɬɚɧɨɜɥɟɧɢɟɦ ɫɨɨɬɜɟɬɫɬɜɢɹ; ɜ ɱɚɫɬɢ II – 3 ɡɚɞɚɧɢɹ ɫ ɩɨɥɧɵɦ ɪɟɲɟɧɢɟɦ.
Ɇɨɞɭɥɶ «Ƚɟɨɦɟɬɪɢɹ» ɫɨɞɟɪɠɢɬ 8 ɡɚɞɚɧɢɣ: ɜ ɱɚɫɬɢ I – 5 ɡɚɞɚɧɢɣ ɫ ɤɪɚɬɤɢɦ ɨɬɜɟɬɨɦ, ɜ ɱɚɫɬɢ II – 3 ɡɚɞɚɧɢɹ ɫ ɩɨɥɧɵɦ ɪɟɲɟɧɢɟɦ.
Ɇɨɞɭɥɶ «Ɋɟɚɥɶɧɚɹ ɦɚɬɟɦɚɬɢɤɚ» ɫɨɞɟɪɠɢɬ 7 ɡɚɞɚɧɢɣ: ɜɫɟ ɡɚɞɚɧɢɹ – ɜ ɱɚɫɬɢ I, ɫ ɤɪɚɬɤɢɦ ɨɬɜɟɬɨɦ ɢ ɜɵɛɨɪɨɦ ɨɬɜɟɬɚ.
ɋɧɚɱɚɥɚ ɜɵɩɨɥɧɹɣɬɟ ɡɚɞɚɧɢɹ ɑɚɫɬɢ I. ɇɚɱɚɬɶ ɫɨɜɟɬɭɟɦ ɫ ɬɨɝɨ ɦɨɞɭɥɹ, ɡɚɞɚɧɢɹ ɤɨɬɨɪɨɝɨ ɜɵɡɵɜɚɸɬ ɭ ȼɚɫ ɦɟɧɶɲɟ ɡɚɬɪɭɞɧɟɧɢɣ, ɡɚɬɟɦ ɩɟɪɟɯɨɞɢɬɟ ɤ ɞɪɭɝɢɦ ɦɨɞɭɥɹɦ.
Ⱦɥɹ ɷɤɨɧɨɦɢɢ ɜɪɟɦɟɧɢ ɩɪɨɩɭɫɤɚɣɬɟ ɡɚɞɚɧɢɟ, ɤɨɬɨɪɨɟ ɧɟ ɭɞɚɺɬɫɹ ɜɵɩɨɥɧɢɬɶ ɫɪɚɡɭ, ɢ |
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ɩɟɪɟɯɨɞɢɬɟ ɤ ɫɥɟɞɭɸɳɟɦɭ. ȿɫɥɢ |
ɭ ȼɚɫ ɨɫɬɚɧɟɬɫɹ ɜɪɟɦɹ, ȼɵ ɫɦɨɠɟɬɟ ɜɟɪɧɭɬɶɫɹ |
ɤ ɩɪɨɩɭɳɟɧɧɵɦ ɡɚɞɚɧɢɹɦ. |
ɩɪɟɨɛɪɚɡɨɜɚɧɢɹ ɢ ɬ.ɞ. ɜɵɩɨɥɧɹɣɬɟ ɜ ɱɟɪɧɨɜɢɤɟ. |
ȼɫɟ ɧɟɨɛɯɨɞɢɦɵɟ ɜɵɱɢɫɥɟɧɢɹ, |
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ȿɫɥɢ ɡɚɞɚɧɢɟ ɫɨɞɟɪɠɢɬ ɪɢɫɭɧɨɤ, |
ɬɨ ɧɚ ɧɺɦ ɦɨɠɧɨ ɜɵɩɨɥɧɹɬɶ ɧɟɨɛɯɨɞɢɦɵɟ ȼɚɦ |
ɩɨɫɬɪɨɟɧɢɹ. Ɉɛɪɚɳɚɟɦ ȼɚɲɟ ɜɧɢɦɚɧɢɟ ɧɚ ɬɨ, ɱɬɨ ɡɚɩɢɫɢ ɜ ɱɟɪɧɨɜɢɤɟ ɧɟ ɛɭɞɭɬ ɭɱɢɬɵɜɚɬɶɫɹ ɩɪɢ ɨɰɟɧɢɜɚɧɢɢ ɪɚɛɨɬɵ. Ɋɟɤɨɦɟɧɞɭɟɦ ɜɧɢɦɚɬɟɥɶɧɨ ɱɢɬɚɬɶ ɭɫɥɨɜɢɟ
ɢ ɩɪɨɜɨɞɢɬɶ ɩɪɨɜɟɪɤɭ ɩɨɥɭɱɟɧɧɨɝɨ ɨɬɜɟɬɚ.
ɉɪɢ ɜɵɩɨɥɧɟɧɢɢ ɡɚɞɚɧɢɣ ɫ ɜɵɛɨɪɨɦ ɨɬɜɟɬɚ ɨɛɜɟɞɢɬɟ ɧɨɦɟɪ ɜɵɛɪɚɧɧɨɝɨ ɨɬɜɟɬɚ ɜ ɷɤɡɚɦɟɧɚɰɢɨɧɧɨɣ ɪɚɛɨɬɟ. ȿɫɥɢ ȼɵ ɨɛɜɟɥɢ ɧɟ ɬɨɬ ɧɨɦɟɪ, ɬɨ ɡɚɱɟɪɤɧɢɬɟ ɨɛɜɟɞɺɧɧɵɣ ɧɨɦɟɪ ɤɪɟɫɬɢɤɨɦ ɢ ɡɚɬɟɦ ɨɛɜɟɞɢɬɟ ɧɨɦɟɪ ɩɪɚɜɢɥɶɧɨɝɨ ɨɬɜɟɬɚ.
ȿɫɥɢ ɜɚɪɢɚɧɬɵ ɨɬɜɟɬɚ ɤ ɡɚɞɚɧɢɸ ɧɟ ɩɪɢɜɨɞɹɬɫɹ, ɩɨɥɭɱɟɧɧɵɣ ɨɬɜɟɬ ɡɚɩɢɫɵɜɚɟɬɫɹ ɜ ɨɬɜɟɞɺɧɧɨɦ ɞɥɹ ɷɬɨɝɨ ɦɟɫɬɟ. ȼ ɫɥɭɱɚɟ ɡɚɩɢɫɢ ɧɟɜɟɪɧɨɝɨ ɨɬɜɟɬɚ ɡɚɱɟɪɤɧɢɬɟ ɟɝɨ ɢ ɡɚɩɢɲɢɬɟ ɪɹɞɨɦ ɧɨɜɵɣ.
ȿɫɥɢ ɜ ɡɚɞɚɧɢɢ ɬɪɟɛɭɟɬɫɹ ɭɫɬɚɧɨɜɢɬɶ ɫɨɨɬɜɟɬɫɬɜɢɟ ɦɟɠɞɭ ɧɟɤɨɬɨɪɵɦɢ ɨɛɴɟɤɬɚɦɢ,
ɜɩɢɲɢɬɟ ɜ ɩɪɢɜɟɞɺɧɧɭɸ ɜ ɨɬɜɟɬɟ ɬɚɛɥɢɰɭ ɩɨɞ ɤɚɠɞɨɣ ɛɭɤɜɨɣ ɫɨɨɬɜɟɬɫɬɜɭɸɳɭɸ ɰɢɮɪɭ.
Ɋɟɲɟɧɢɹ ɡɚɞɚɧɢɣ ɑɚɫɬɢ II ɢ ɨɬɜɟɬɵ ɤ ɧɢɦ ɡɚɩɢɫɵɜɚɸɬɫɹ ɧɚ ɨɬɞɟɥɶɧɨɦ ɥɢɫɬɟ. Ɍɟɤɫɬ ɡɚɞɚɧɢɹ ɦɨɠɧɨ ɧɟ ɩɟɪɟɩɢɫɵɜɚɬɶ, ɧɟɨɛɯɨɞɢɦɨ ɥɢɲɶ ɭɤɚɡɚɬɶ ɟɝɨ ɧɨɦɟɪ.
Ȼɚɥɥɵ, ɩɨɥɭɱɟɧɧɵɟ ȼɚɦɢ ɡɚ ɜɟɪɧɨ ɜɵɩɨɥɧɟɧɧɵɟ ɡɚɞɚɧɢɹ, ɫɭɦɦɢɪɭɸɬɫɹ. Ⱦɥɹ
ɭɫɩɟɲɧɨɝɨ ɩɪɨɯɨɠɞɟɧɢɹ ɢɬɨɝɨɜɨɣ ɚɬɬɟɫɬɚɰɢɢ ɧɟɨɛɯɨɞɢɦɨ ɧɚɛɪɚɬɶ ɜ ɫɭɦɦɟ ɧɟ ɦɟɧɟɟ 8 ɛɚɥɥɨɜ, ɢɡ ɧɢɯ ɧɟ ɦɟɧɟɟ ɞɜɭɯ ɛɚɥɥɨɜ ɩɨ ɤɚɠɞɨɦɭ ɢɡ ɦɨɞɭɥɟɣ.
ɀɟɥɚɟɦ ɭɫɩɟɯɚ!
ȼɧɢɦɚɧɢɟ! ȼɢɞɟɨɪɚɡɛɨɪ ɞɚɧɧɨɣ ɪɚɛɨɬɵ ɩɪɨɣɞɟɬ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 3 |
ɑɚɫɬɶ 1
Ɇɨɞɭɥɶ "Ⱥɥɝɟɛɪɚ"
1ɇɚɣɞɢɬɟ ɡɧɚɱɟɧɢɹ ɜɵɪɚɠɟɧɢɣ. ȼ ɨɬɜɟɬɟ ɭɤɚɠɢɬɟ ɧɨɦɟɪ ɧɚɢɛɨɥɶɲɟɝɨ ɢɡ ɧɚɣɞɟɧɧɵɯ ɡɧɚɱɟɧɢɣ.
1)1, 8 |
4 |
2)1 |
1 |
: 4 |
3) |
0, 4 1, 7 |
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5 |
7 |
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1, 4 |
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Ɉɬɜɟɬ: 
2ȼɵɛɟɪɢɬɟ ɜɟɪɧɨɟ ɭɬɜɟɪɠɞɟɧɢɟ ɨɬɧɨɫɢɬɟɥɶɧɨ ɱɢɫɟɥ a ɢ b, ɪɚɫɩɨɥɨɠɟɧɧɵɯ ɧɚ ɱɢɫɥɨɜɨɣ ɩɪɹɦɨɣ.
1) a b 0 |
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b |
1 |
0 |
4) ab 0 |
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3 ɍɤɚɠɢɬɟ ɞɜɚ ɫɨɫɟɞɧɢɯ ɰɟɥɵɯ ɱɢɫɥɚ, ɦɟɠɞɭ ɤɨɬɨɪɵɦɢ ɡɚɤɥɸɱɟɧɨ ɱɢɫɥɨ 3 7.
1) 3 ɢ 4 2) 7 ɢ 8 3) 8 ɢ 9 4) 63 ɢ 64
4 ɇɚɣɞɢɬɟ ɤɨɪɧɢ ɭɪɚɜɧɟɧɢɹ 2x2 13x 7 0.
Ɉɬɜɟɬ: 
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 4 |
5ɇɚ ɪɢɫɭɧɤɟ ɢɡɨɛɪɚɠɟɧɵ ɝɪɚɮɢɤɢ ɬɪɺɯ ɮɭɧɤɰɢɣ, ɡɚɞɚɜɚɟɦɵɯ ɮɨɪɦɭɥɚɦɢ ɜɢɞɚ y kx b. ɍɤɚɠɢɬɟ ɞɥɹ ɤɚɠɞɨɝɨ ɝɪɚɮɢɤɚ ɫɨɨɬɜɟɬɫɬɜɭɸɳɭɸ ɟɦɭ ɮɨɪɦɭɥɭ, ɜɵɛɪɚɜ ɟɺ ɢɡ ɱɢɫɥɚ ɩɪɢɜɟɞɺɧɧɵɯ ɧɢɠɟ.
ȽɊȺɎɂɄɂ
Ⱥ) |
Ȼ) |
ȼ) |
ɎɍɇɄɐɂɂ
1) y x 1 |
2) y x 1 |
3) y |
x 1 |
4) y |
x 1 |
Ⱥ Ȼ ȼ
Ɉɬɜɟɬ:
6Ɂɚɩɢɲɢɬɟ ɜ ɨɬɜɟɬɟ ɧɨɦɟɪɚ ɜɟɪɧɵɯ ɪɚɜɟɧɫɬɜ.
1) |
a2 |
3a |
9 |
(a 3)2 |
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2) |
9 |
a2 |
(3 |
a)(a |
3) |
3) |
(b |
1)(a |
3) |
(1 |
b)(3 a) |
4) (a 1)(2a 3) 2a2 |
5a |
3 |
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Ɉɬɜɟɬ: |
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7 ɍɩɪɨɫɬɢɬɟ ɜɵɪɚɠɟɧɢɟ |
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b |
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b |
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ɢ ɧɚɣɞɢɬɟ ɟɝɨ ɡɧɚɱɟɧɢɟ ɩɪɢ a |
0, 7, |
a |
2 |
2 |
a |
2 |
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b2, 1.
Ɉɬɜɟɬ: 
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 5 |
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8 Ɋɟɲɢɬɟ ɭɪɚɜɧɟɧɢɟ |
5 x |
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Ɉɬɜɟɬ: |
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Ɇɨɞɭɥɶ "Ƚɟɨɦɟɬɪɢɹ" |
9 ɋɪɟɞɧɹɹ ɥɢɧɢɹ ɪɚɜɧɨɫɬɨɪɨɧɧɟɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ABC ɪɚɜɧɚ |
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8 |
ɫɦ. ɇɚɣɞɢɬɟ ɩɟɪɢɦɟɬɪ ɷɬɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ. |
Ɉɬɜɟɬ: 
10ɋɬɨɪɨɧɚ ɪɨɦɛɚ ɪɚɜɧɚ 36, ɚ ɬɭɩɨɣ ɭɝɨɥ ɪɚɜɟɧ 120q. ɇɚɣɞɢɬɟ ɞɥɢɧɭ ɦɟɧɶɲɟɣ ɞɢɚɝɨɧɚɥɢ ɪɨɦɛɚ.
Ɉɬɜɟɬ: 
11ɂɡ ɤɜɚɞɪɚɬɚ ɫɨ ɫɬɨɪɨɧɨɣ 10 ɫɦ ɜɵɪɟɡɚɧ ɩɪɹɦɨɭɝɨɥɶɧɢɤ ɫɨ ɫɬɨɪɨɧɚɦɢ 3 ɫɦ ɢ 4 ɫɦ. ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɨɫɬɚɜɲɟɣɫɹ ɱɚɫɬɢ. Ɉɬɜɟɬ ɞɚɣɬɟ ɜ ɫɦ2.
Ɉɬɜɟɬ: 
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 6 |
12 Ɍɨɱɤɚ O – ɰɟɧɬɪ ɨɤɪɭɠɧɨɫɬɢ, BAC |
75q (ɫɦ. ɪɢɫɭɧɨɤ). |
ɇɚɣɞɢɬɟ ɜɟɥɢɱɢɧɭ ɭɝɥɚ BOC (ɜ ɝɪɚɞɭɫɚɯ). |
|
Ɉɬɜɟɬ: 
13ɍɤɚɠɢɬɟ ɜ ɨɬɜɟɬɟ ɧɨɦɟɪɚ ɜɟɪɧɵɯ ɭɬɜɟɪɠɞɟɧɢɣ.
1)ɋɭɳɟɫɬɜɭɟɬ ɩɚɪɚɥɥɟɥɨɝɪɚɦɦ, ɞɢɚɝɨɧɚɥɢ ɤɨɬɨɪɨɝɨ ɪɚɜɧɵ
2)ɑɟɪɟɡ ɬɨɱɤɭ, ɥɟɠɚɳɭɸ ɧɚ ɞɚɧɧɨɣ ɩɪɹɦɨɣ, ɦɨɠɧɨ ɩɪɨɜɟɫɬɢ ɩɪɹɦɭɸ,
ɩɟɪɩɟɧɞɢɤɭɥɹɪɧɭɸ ɷɬɨɣ ɩɪɹɦɨɣ
3)ȿɫɥɢ ɞɜɟ ɫɬɨɪɨɧɵ ɨɞɧɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɪɚɜɧɵ ɞɜɭɦ ɫɬɨɪɨɧɚɦ ɞɪɭɝɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ, ɬɨ ɬɚɤɢɟ ɬɪɟɭɝɨɥɶɧɢɤɢ ɪɚɜɧɵ
Ɉɬɜɟɬ: 
Ɇɨɞɭɥɶ "Ɋɟɚɥɶɧɚɹ ɦɚɬɟɦɚɬɢɤɚ"
14Ʉɭɪɢɧɵɟ ɹɣɰɚ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɢɯ ɦɚɫɫɵ ɩɨɞɪɚɡɞɟɥɹɸɬ ɧɚ ɩɹɬɶ ɤɚɬɟɝɨɪɢɣ: ɜɵɫɲɚɹ, ɨɬɛɨɪɧɚɹ, ɩɟɪɜɚɹ, ɜɬɨɪɚɹ ɢ ɬɪɟɬɶɹ. ɂɫɩɨɥɶɡɭɹ ɞɚɧɧɵɟ, ɩɪɟɞɫɬɚɜɥɟɧɧɵɟ ɜ ɬɚɛɥɢɰɟ, ɨɩɪɟɞɟɥɢɬɟ, ɤ ɤɚɤɨɣ ɤɚɬɟɝɨɪɢɢ ɨɬɧɨɫɢɬɫɹ ɹɣɰɨ, ɦɚɫɫɨɣ 49,2 ɝ.
Ʉ ɬɟɝɨ ɹ |
Ɇ ɫɫ ɨɞɧɨɝɨ ɹ , ɧɟ ɦɟɧɟɟ, ɝ |
ȼɵɫɲɚɹ |
75,0 ɢ ɜɵɲɟ |
Ɉɬɛɨɪɧɚɹ |
65,0 - 74,9 |
ɉɟɪɜɚɹ |
55,0 - 64,9 |
ȼɬɨɪɚɹ |
45,0 - 54,9 |
Ɍɪɟɬɶɹ |
35,0 - 44,9 |
Ɉɬɜɟɬ: 
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 7 |
15ɇɚ ɬɪɟɧɢɪɨɜɤɟ ɜ 50-ɦɟɬɪɨɜɨɦ ɛɚɫɫɟɣɧɟ ɩɥɨɜɟɰ ɩɪɨɩɥɵɥ 200-ɦɟɬɪɨɜɭɸ ɞɢɫɬɚɧɰɢɸ. ɇɚ ɪɢɫɭɧɤɟ ɢɡɨɛɪɚɠɺɧ ɝɪɚɮɢɤ ɡɚɜɢɫɢɦɨɫɬɢ ɪɚɫɫɬɨɹɧɢɹ ɦɟɠɞɭ ɩɥɨɜɰɨɦ ɢ ɬɨɱɤɨɣ ɫɬɚɪɬɚ ɨɬ ɜɪɟɦɟɧɢ ɞɜɢɠɟɧɢɹ ɩɥɨɜɰɚ. Ɉɩɪɟɞɟɥɢɬɟ ɪɚɫɫɬɨɹɧɢɟ (ɜ ɦɟɬɪɚɯ), ɤɨɬɨɪɨɟ ɩɪɨɩɥɵɥ ɩɥɨɜɟɰ ɡɚ ɩɟɪɜɵɟ 100 ɫɟɤɭɧɞ ɡɚɩɥɵɜɚ.
Ɉɬɜɟɬ: 
16ɋɩɨɪɬɢɜɧɵɣ ɦɚɝɚɡɢɧ ɩɪɨɜɨɞɢɬ ɚɤɰɢɸ: «Ʌɸɛɨɣ ɫɜɢɬɟɪ ɩɨ ɰɟɧɟ 600 ɪ. ɉɪɢ ɩɨɤɭɩɤɟ ɞɜɭɯ ɫɜɢɬɟɪɨɜ – ɫɤɢɞɤɚ ɧɚ ɜɬɨɪɨɣ 80%». ɋɤɨɥɶɤɨ ɪɭɛɥɟɣ ɩɪɢɞɺɬɫɹ ɡɚɩɥɚɬɢɬɶ ɡɚ ɩɨɤɭɩɤɭ ɞɜɭɯ ɫɜɢɬɟɪɨɜ?
Ɉɬɜɟɬ: 
17ɋɬɨɥɛ ɜɵɫɨɬɨɣ 9 ɦ ɨɬɛɪɚɫɵɜɚɟɬ ɬɟɧɶ ɞɥɢɧɨɣ 2 ɦ. ɇɚɣɞɢɬɟ ɞɥɢɧɭ (ɜ ɦ) ɬɟɧɢ ɱɟɥɨɜɟɤɚ ɪɨɫɬɨɦ 1,8 ɦ, ɫɬɨɹɳɟɝɨ ɨɤɨɥɨ ɷɬɨɝɨ ɫɬɨɥɛɚ.
Ɉɬɜɟɬ: 
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 8 |
18ɇɚ ɞɢɚɝɪɚɦɦɟ ɩɪɟɞɫɬɚɜɥɟɧɚ ɢɧɮɨɪɦɚɰɢɹ ɨ ɤɨɥɢɱɟɫɬɜɟ ɫɨɬɨɜɵɯ ɬɟɥɟɮɨɧɨɜ, ɩɪɨɞɚɧɧɵɯ ɱɟɬɵɪɶɦɹ ɜɟɞɭɳɢɦɢ ɬɨɪɝɨɜɵɦɢ ɤɨɦɩɚɧɢɹɦɢ ɜ 2004 ɝ. ɇɚ ɫɤɨɥɶɤɨ ɬɟɥɟɮɨɧɨɜ ɤɨɦɩɚɧɢɟɣ ɋɜɹɡɧɨɣ ɛɵɥɨ ɩɪɨɞɚɧɨ ɛɨɥɶɲɟ, ɱɟɦ ɤɨɦɩɚɧɢɟɣ Ⱦɢɤɫɢɫ ɜ ɷɬɨɦ ɝɨɞɭ? Ɉɬɜɟɬ ɭɤɚɠɢɬɟ ɜ ɦɢɥɥɢɨɧɚɯ ɲɬɭɤ.
Ɉɬɜɟɬ: 
19ɇɚ ɬɚɪɟɥɤɟ ɥɟɠɚɬ ɩɢɪɨɠɤɢ, ɨɞɢɧɚɤɨɜɵɟ ɧɚ ɜɢɞ: 8 ɫ ɦɹɫɨɦ, 4 ɫ ɤɚɩɭɫɬɨɣ ɢ 3 ɫ ɜɢɲɧɟɣ. Ʉɚɬɹ ɧɚɭɝɚɞ ɜɵɛɢɪɚɟɬ ɨɞɢɧ ɩɢɪɨɠɨɤ. ɇɚɣɞɢɬɟ ɜɟɪɨɹɬɧɨɫɬɶ ɬɨɝɨ, ɱɬɨ ɩɢɪɨɠɨɤ ɨɤɚɠɟɬɫɹ ɫ ɜɢɲɧɟɣ.
Ɉɬɜɟɬ: 
20ȼɵɫɨɬɭ h (ɜ ɦ), ɧɚ ɤɨɬɨɪɨɣ ɱɟɪɟɡ t ɫɟɤɭɧɞ ɨɤɚɠɟɬɫɹ ɬɟɥɨ, ɛɪɨɲɟɧɧɨɟ ɜɟɪɬɢɤɚɥɶɧɨ ɜɜɟɪɯ ɫ ɧɚɱɚɥɶɧɨɣ ɫɤɨɪɨɫɬɶɸ v ɦ/ɫ, ɦɨɠɧɨ ɩɪɢɛɥɢɠɟɧɧɨ
ɜɵɱɢɫɥɢɬɶ ɩɨ ɮɨɪɦɭɥɟ h vt 5t2. ɇɚ ɫɤɨɥɶɤɨ ɦɟɬɪɨɜ ɜɡɥɟɬɢɬ ɡɚ 2 ɫɟɤɭɧɞɵ ɬɟɥɨ, ɛɪɨɲɟɧɧɨɟ ɜɟɪɬɢɤɚɥɶɧɨ ɜɜɟɪɯ ɫ ɧɚɱɚɥɶɧɨɣ ɫɤɨɪɨɫɬɶɸ 20 ɦ/ɫ?
Ɉɬɜɟɬ: 
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 7 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 9 |
ɑɚɫɬɶ 2
ɉɪɢ ɜɵɩɨɥɧɟɧɢɢ ɡɚɞɚɧɢɣ 21–26 ɢɫɩɨɥɶɡɭɣɬɟ ɨɬɞɟɥɶɧɵɣ ɥɢɫɬ. ɋɧɚɱɚɥɚ ɭɤɚɠɢɬɟ ɧɨɦɟɪ ɡɚɞɚɧɢɹ, ɚ ɡɚɬɟɦ ɡɚɩɢɲɢɬɟ ɟɝɨ ɪɟɲɟɧɢɟ ɢ ɨɬɜɟɬ. ɉɢɲɢɬɟ ɱɺɬɤɨ ɢ ɪɚɡɛɨɪɱɢɜɨ.
Ɇ ɞ ɥɶ "Ⱥɥɝɟ ɪ "
21 |
ɍɩɪɨɫɬɢɬɟ ɜɵɪɚɠɟɧɢɟ |
15 |
3 |
15 3 |
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24 |
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22 |
Ɉɞɢɧ ɢɡ ɤɨɪɧɟɣ ɭɪɚɜɧɟɧɢɹ 5x2 |
7x |
2m 0 ɪɚɜɟɧ –1. ɇɚɣɞɢɬɟ ɜɬɨɪɨɣ ɤɨɪɟɧɶ. |
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23ɇɚɣɞɢɬɟ ɧɚɢɦɟɧɶɲɟɟ ɡɧɚɱɟɧɢɟ ɜɵɪɚɠɟɧɢɹ ɢ ɡɧɚɱɟɧɢɹ x ɢ y, ɩɪɢ ɤɨɬɨɪɵɯ ɨɧɨ ɞɨɫɬɢɝɚɟɬɫɹ 6x 5y 7
2x 3y 1.
Ɇɞɭɥɶ "Ƚɟ ɦɟɬɪɢɹ"
24ɇɚɣɞɢɬɟ ɜɟɥɢɱɢɧɭ ɭɝɥɚ COE, ɟɫɥɢ OE – ɛɢɫɫɟɤɬɪɢɫɚ ɭɝɥɚ AOC, OD – ɛɢɫɫɟɤɬɪɢɫɚ ɭɝɥɚ COB.
25ɉɪɨɬɢɜɨɩɨɥɨɠɧɵɟ ɭɝɥɵ ɱɟɬɵɪɟɯɭɝɨɥɶɧɢɤɚ ɩɨɩɚɪɧɨ ɪɚɜɧɵ. Ⱦɨɤɚɠɢɬɟ, ɱɬɨ ɷɬɨɬ ɱɟɬɵɪɟɯɭɝɨɥɶɧɢɤ – ɩɚɪɚɥɥɟɥɨɝɪɚɦɦ.
26Ɉɫɧɨɜɚɧɢɟ AC ɪɚɜɧɨɛɟɞɪɟɧɧɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ABC ɪɚɜɧɨ 6. Ɉɤɪɭɠɧɨɫɬɶ ɪɚɞɢɭɫɚ 5 ɫ ɰɟɧɬɪɨɦ ɜɧɟ ɷɬɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ɤɚɫɚɟɬɫɹ ɩɪɨɞɨɥɠɟɧɢɹ ɛɨɤɨɜɵɯ ɫɬɨɪɨɧ ɬɪɟɭɝɨɥɶɧɢɤɚ ɢ ɤɚɫɚɟɬɫɹ ɨɫɧɨɜɚɧɢɹ AC ɜ ɟɝɨ ɫɟɪɟɞɢɧɟ. ɇɚɣɞɢɬɟ ɪɚɞɢɭɫ ɨɤɪɭɠɧɨɫɬɢ, ɜɩɢɫɚɧɧɨɣ ɜ ɬɪɟɭɝɨɥɶɧɢɤ ABC.
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ
Ⱦɢɚɝɧɨɫɬɢɱɟɫɤɚɹ ɪɚɛɨɬɚ ʋ 1
ɩɨ ɆȺɌȿɆȺɌɂɄȿ
2 ɨɤɬɹɛɪɹ 2012 ɝɨɞɚ
9 ɤɥɚɫɫ
ȼɚɪɢɚɧɬ 8
Ɋɚɣɨɧ Ƚɨɪɨɞ (ɧɚɫɟɥɺɧɧɵɣ ɩɭɧɤɬ)
ɒɤɨɥɚ
Ʉɥɚɫɫ
Ɏɚɦɢɥɢɹ
ɂɦɹ
Ɉɬɱɟɫɬɜɨ
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 2 |
|
ɂɧɫɬɪɭɤɰɢɹ ɩɨ ɜɵɩɨɥɧɟɧɢɸ ɪɚɛɨɬɵ |
Ɉɛɳɟɟ ɜɪɟɦɹ ɷɤɡɚɦɟɧɚ 4 ɱɚɫɚ (240 ɦɢɧɭɬ).
ȼɫɟɝɨ ɜ ɪɚɛɨɬɟ 26 ɡɚɞɚɧɢɣ, ɢɡ ɤɨɬɨɪɵɯ 20 ɡɚɞɚɧɢɣ ɛɚɡɨɜɨɝɨ ɭɪɨɜɧɹ (ɑɚɫɬɶ I) ɢ 6 ɡɚɞɚɧɢɣ ɩɨɜɵɲɟɧɧɨɝɨ ɭɪɨɜɧɹ (ɑɚɫɬɶ II).
Ɋɚɛɨɬɚ ɫɨɫɬɨɢɬ ɢɡ ɬɪɺɯ ɦɨɞɭɥɟɣ «Ⱥɥɝɟɛɪɚ», «Ƚɟɨɦɟɬɪɢɹ», «Ɋɟɚɥɶɧɚɹ ɦɚɬɟɦɚɬɢɤɚ». Ɇɨɞɭɥɶ «Ⱥɥɝɟɛɪɚ» ɫɨɞɟɪɠɢɬ 11 ɡɚɞɚɧɢɣ: ɜ ɱɚɫɬɢ I – 8 ɡɚɞɚɧɢɣ ɫ ɤɪɚɬɤɢɦ ɨɬɜɟɬɨɦ,
ɜɵɛɨɪɨɦ ɨɬɜɟɬɚ ɢ ɭɫɬɚɧɨɜɥɟɧɢɟɦ ɫɨɨɬɜɟɬɫɬɜɢɹ; ɜ ɱɚɫɬɢ II – 3 ɡɚɞɚɧɢɹ ɫ ɩɨɥɧɵɦ
ɪɟɲɟɧɢɟɦ.
Ɇɨɞɭɥɶ «Ƚɟɨɦɟɬɪɢɹ» ɫɨɞɟɪɠɢɬ 8 ɡɚɞɚɧɢɣ: ɜ ɱɚɫɬɢ I – 5 ɡɚɞɚɧɢɣ ɫ ɤɪɚɬɤɢɦ ɨɬɜɟɬɨɦ, ɜ ɱɚɫɬɢ II – 3 ɡɚɞɚɧɢɹ ɫ ɩɨɥɧɵɦ ɪɟɲɟɧɢɟɦ.
Ɇɨɞɭɥɶ «Ɋɟɚɥɶɧɚɹ ɦɚɬɟɦɚɬɢɤɚ» ɫɨɞɟɪɠɢɬ 7 ɡɚɞɚɧɢɣ: ɜɫɟ ɡɚɞɚɧɢɹ – ɜ ɱɚɫɬɢ I, ɫ ɤɪɚɬɤɢɦ ɨɬɜɟɬɨɦ ɢ ɜɵɛɨɪɨɦ ɨɬɜɟɬɚ.
ɋɧɚɱɚɥɚ ɜɵɩɨɥɧɹɣɬɟ ɡɚɞɚɧɢɹ ɑɚɫɬɢ I. ɇɚɱɚɬɶ ɫɨɜɟɬɭɟɦ ɫ ɬɨɝɨ ɦɨɞɭɥɹ, ɡɚɞɚɧɢɹ ɤɨɬɨɪɨɝɨ ɜɵɡɵɜɚɸɬ ɭ ȼɚɫ ɦɟɧɶɲɟ ɡɚɬɪɭɞɧɟɧɢɣ, ɡɚɬɟɦ ɩɟɪɟɯɨɞɢɬɟ ɤ ɞɪɭɝɢɦ ɦɨɞɭɥɹɦ.
Ⱦɥɹ ɷɤɨɧɨɦɢɢ ɜɪɟɦɟɧɢ ɩɪɨɩɭɫɤɚɣɬɟ ɡɚɞɚɧɢɟ, ɤɨɬɨɪɨɟ ɧɟ ɭɞɚɺɬɫɹ ɜɵɩɨɥɧɢɬɶ ɫɪɚɡɭ, ɢ |
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ɩɟɪɟɯɨɞɢɬɟ ɤ ɫɥɟɞɭɸɳɟɦɭ. ȿɫɥɢ |
ɭ ȼɚɫ ɨɫɬɚɧɟɬɫɹ ɜɪɟɦɹ, ȼɵ ɫɦɨɠɟɬɟ ɜɟɪɧɭɬɶɫɹ |
ɤ ɩɪɨɩɭɳɟɧɧɵɦ ɡɚɞɚɧɢɹɦ. |
ɩɪɟɨɛɪɚɡɨɜɚɧɢɹ ɢ ɬ.ɞ. ɜɵɩɨɥɧɹɣɬɟ ɜ ɱɟɪɧɨɜɢɤɟ. |
ȼɫɟ ɧɟɨɛɯɨɞɢɦɵɟ ɜɵɱɢɫɥɟɧɢɹ, |
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ȿɫɥɢ ɡɚɞɚɧɢɟ ɫɨɞɟɪɠɢɬ ɪɢɫɭɧɨɤ, |
ɬɨ ɧɚ ɧɺɦ ɦɨɠɧɨ ɜɵɩɨɥɧɹɬɶ ɧɟɨɛɯɨɞɢɦɵɟ ȼɚɦ |
ɩɨɫɬɪɨɟɧɢɹ. Ɉɛɪɚɳɚɟɦ ȼɚɲɟ ɜɧɢɦɚɧɢɟ ɧɚ ɬɨ, ɱɬɨ ɡɚɩɢɫɢ ɜ ɱɟɪɧɨɜɢɤɟ ɧɟ ɛɭɞɭɬ ɭɱɢɬɵɜɚɬɶɫɹ ɩɪɢ ɨɰɟɧɢɜɚɧɢɢ ɪɚɛɨɬɵ. Ɋɟɤɨɦɟɧɞɭɟɦ ɜɧɢɦɚɬɟɥɶɧɨ ɱɢɬɚɬɶ ɭɫɥɨɜɢɟ
ɢ ɩɪɨɜɨɞɢɬɶ ɩɪɨɜɟɪɤɭ ɩɨɥɭɱɟɧɧɨɝɨ ɨɬɜɟɬɚ.
ɉɪɢ ɜɵɩɨɥɧɟɧɢɢ ɡɚɞɚɧɢɣ ɫ ɜɵɛɨɪɨɦ ɨɬɜɟɬɚ ɨɛɜɟɞɢɬɟ ɧɨɦɟɪ ɜɵɛɪɚɧɧɨɝɨ ɨɬɜɟɬɚ ɜ ɷɤɡɚɦɟɧɚɰɢɨɧɧɨɣ ɪɚɛɨɬɟ. ȿɫɥɢ ȼɵ ɨɛɜɟɥɢ ɧɟ ɬɨɬ ɧɨɦɟɪ, ɬɨ ɡɚɱɟɪɤɧɢɬɟ ɨɛɜɟɞɺɧɧɵɣ ɧɨɦɟɪ ɤɪɟɫɬɢɤɨɦ ɢ ɡɚɬɟɦ ɨɛɜɟɞɢɬɟ ɧɨɦɟɪ ɩɪɚɜɢɥɶɧɨɝɨ ɨɬɜɟɬɚ.
ȿɫɥɢ ɜɚɪɢɚɧɬɵ ɨɬɜɟɬɚ ɤ ɡɚɞɚɧɢɸ ɧɟ ɩɪɢɜɨɞɹɬɫɹ, ɩɨɥɭɱɟɧɧɵɣ ɨɬɜɟɬ ɡɚɩɢɫɵɜɚɟɬɫɹ ɜ ɨɬɜɟɞɺɧɧɨɦ ɞɥɹ ɷɬɨɝɨ ɦɟɫɬɟ. ȼ ɫɥɭɱɚɟ ɡɚɩɢɫɢ ɧɟɜɟɪɧɨɝɨ ɨɬɜɟɬɚ ɡɚɱɟɪɤɧɢɬɟ ɟɝɨ ɢ ɡɚɩɢɲɢɬɟ ɪɹɞɨɦ ɧɨɜɵɣ.
ȿɫɥɢ ɜ ɡɚɞɚɧɢɢ ɬɪɟɛɭɟɬɫɹ ɭɫɬɚɧɨɜɢɬɶ ɫɨɨɬɜɟɬɫɬɜɢɟ ɦɟɠɞɭ ɧɟɤɨɬɨɪɵɦɢ ɨɛɴɟɤɬɚɦɢ,
ɜɩɢɲɢɬɟ ɜ ɩɪɢɜɟɞɺɧɧɭɸ ɜ ɨɬɜɟɬɟ ɬɚɛɥɢɰɭ ɩɨɞ ɤɚɠɞɨɣ ɛɭɤɜɨɣ ɫɨɨɬɜɟɬɫɬɜɭɸɳɭɸ ɰɢɮɪɭ.
Ɋɟɲɟɧɢɹ ɡɚɞɚɧɢɣ ɑɚɫɬɢ II ɢ ɨɬɜɟɬɵ ɤ ɧɢɦ ɡɚɩɢɫɵɜɚɸɬɫɹ ɧɚ ɨɬɞɟɥɶɧɨɦ ɥɢɫɬɟ. Ɍɟɤɫɬ ɡɚɞɚɧɢɹ ɦɨɠɧɨ ɧɟ ɩɟɪɟɩɢɫɵɜɚɬɶ, ɧɟɨɛɯɨɞɢɦɨ ɥɢɲɶ ɭɤɚɡɚɬɶ ɟɝɨ ɧɨɦɟɪ.
Ȼɚɥɥɵ, ɩɨɥɭɱɟɧɧɵɟ ȼɚɦɢ ɡɚ ɜɟɪɧɨ ɜɵɩɨɥɧɟɧɧɵɟ ɡɚɞɚɧɢɹ, ɫɭɦɦɢɪɭɸɬɫɹ. Ⱦɥɹ
ɭɫɩɟɲɧɨɝɨ ɩɪɨɯɨɠɞɟɧɢɹ ɢɬɨɝɨɜɨɣ ɚɬɬɟɫɬɚɰɢɢ ɧɟɨɛɯɨɞɢɦɨ ɧɚɛɪɚɬɶ ɜ ɫɭɦɦɟ ɧɟ ɦɟɧɟɟ 8 ɛɚɥɥɨɜ, ɢɡ ɧɢɯ ɧɟ ɦɟɧɟɟ ɞɜɭɯ ɛɚɥɥɨɜ ɩɨ ɤɚɠɞɨɦɭ ɢɡ ɦɨɞɭɥɟɣ.
ɀɟɥɚɟɦ ɭɫɩɟɯɚ!
ȼɧɢɦɚɧɢɟ! ȼɢɞɟɨɪɚɡɛɨɪ ɞɚɧɧɨɣ ɪɚɛɨɬɵ ɩɪɨɣɞɟɬ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 3 |
ɑɚɫɬɶ 1
Ɇɨɞɭɥɶ "Ⱥɥɝɟɛɪɚ"
1ɇɚɣɞɢɬɟ ɡɧɚɱɟɧɢɹ ɜɵɪɚɠɟɧɢɣ. ȼ ɨɬɜɟɬɟ ɭɤɚɠɢɬɟ ɧɨɦɟɪ ɧɚɢɦɟɧɶɲɟɝɨ ɢɡ ɧɚɣɞɟɧɧɵɯ ɡɧɚɱɟɧɢɣ.
1)1, 8 |
3 |
2)1 |
1 |
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1 |
3) |
0, 8 0, 3 |
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5 |
3 |
6 |
1, 2 |
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Ɉɬɜɟɬ: 
2ȼɵɛɟɪɢɬɟ ɜɟɪɧɨɟ ɭɬɜɟɪɠɞɟɧɢɟ ɨɬɧɨɫɢɬɟɥɶɧɨ ɱɢɫɟɥ a ɢ b, ɪɚɫɩɨɥɨɠɟɧɧɵɯ ɧɚ ɱɢɫɥɨɜɨɣ ɩɪɹɦɨɣ.
1) b a 0 |
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2) ab 0 |
3) 0 |
1 |
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a |
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3 ɍɤɚɠɢɬɟ ɞɜɚ ɫɨɫɟɞɧɢɯ ɰɟɥɵɯ ɱɢɫɥɚ, ɦɟɠɞɭ ɤɨɬɨɪɵɦɢ ɡɚɤɥɸɱɟɧɨ ɱɢɫɥɨ 3 5.
1) 3 ɢ 4 2) 4 ɢ 5 3) 6 ɢ 7 4) 45 ɢ 46
4 ɇɚɣɞɢɬɟ ɤɨɪɧɢ ɭɪɚɜɧɟɧɢɹ 2x2 11x 6 0.
Ɉɬɜɟɬ: 
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 4 |
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5 ɇɚ |
ɪɢɫɭɧɤɟ ɢɡɨɛɪɚɠɟɧɵ ɝɪɚɮɢɤɢ ɬɪɺɯ |
ɮɭɧɤɰɢɣ, ɡɚɞɚɜɚɟɦɵɯ ɮɨɪɦɭɥɚɦɢ ɜɢɞɚ |
y |
kx b. ɍɤɚɠɢɬɟ ɞɥɹ ɤɚɠɞɨɝɨ ɝɪɚɮɢɤɚ ɫɨɨɬɜɟɬɫɬɜɭɸɳɭɸ ɟɦɭ ɮɨɪɦɭɥɭ, ɜɵɛɪɚɜ |
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ɟɺ ɢɡ ɱɢɫɥɚ ɩɪɢɜɟɞɺɧɧɵɯ ɧɢɠɟ. |
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ȽɊȺɎɂɄɂ |
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Ⱥ) |
Ȼ) |
ȼ) |
ɎɍɇɄɐɂɂ
1) y x 1 |
2) y x 1 |
3) y |
x 1 |
4) y |
x 1 |
Ⱥ Ȼ ȼ
Ɉɬɜɟɬ:
6Ɂɚɩɢɲɢɬɟ ɜ ɨɬɜɟɬɟ ɧɨɦɟɪɚ ɜɟɪɧɵɯ ɪɚɜɟɧɫɬɜ.
1) |
(4 |
b)(b |
4) |
b2 |
16 |
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2) |
(b |
1)(3 |
4b) |
(1 |
b)(4b 3) |
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(b |
1)(3 |
2b) |
3 |
b |
2b2 |
4) |
(b |
4)2 |
b2 |
8b |
16 |
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Ɉɬɜɟɬ: 
7 ɍɩɪɨɫɬɢɬɟ ɜɵɪɚɠɟɧɢɟ |
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ɢ ɧɚɣɞɢɬɟ ɟɝɨ ɡɧɚɱɟɧɢɟ ɩɪɢ a 0, 7, |
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2 |
2 |
ab a |
2 |
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b |
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Ɉɬɜɟɬ: 
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 5 |
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8 Ɋɟɲɢɬɟ ɭɪɚɜɧɟɧɢɟ |
x 4 |
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Ɉɬɜɟɬ: |
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Ɇɨɞɭɥɶ "Ƚɟɨɦɟɬɪɢɹ"
9ɋɪɟɞɧɹɹ ɥɢɧɢɹ ɪɚɜɧɨɫɬɨɪɨɧɧɟɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ABC ɪɚɜɧɚ 7 ɫɦ. ɇɚɣɞɢɬɟ ɩɟɪɢɦɟɬɪ ɷɬɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ.
Ɉɬɜɟɬ: 
10ɋɬɨɪɨɧɚ ɪɨɦɛɚ ɪɚɜɧɚ 20, ɚ ɨɫɬɪɵɣ ɭɝɨɥ ɪɚɜɟɧ 60q. ȼɵɫɨɬɚ ɪɨɦɛɚ, ɨɩɭɳɟɧɧɚɹ ɢɡ ɜɟɪɲɢɧɵ ɬɭɩɨɝɨ ɭɝɥɚ, ɞɟɥɢɬ ɫɬɨɪɨɧɭ ɧɚ ɞɜɚ ɨɬɪɟɡɤɚ. Ʉɚɤɨɜɵ ɞɥɢɧɵ ɷɬɢɯ ɨɬɪɟɡɤɨɜ?
Ɉɬɜɟɬ: 
11ɂɡ ɤɜɚɞɪɚɬɚ ɫɨ ɫɬɨɪɨɧɨɣ 8 ɫɦ ɜɵɪɟɡɚɧ ɩɪɹɦɨɭɝɨɥɶɧɢɤ ɫɨ ɫɬɨɪɨɧɚɦɢ 3 ɫɦ ɢ 2 ɫɦ. ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɨɫɬɚɜɲɟɣɫɹ ɱɚɫɬɢ. Ɉɬɜɟɬ ɞɚɣɬɟ ɜ ɫɦ2.
Ɉɬɜɟɬ: 
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 6 |
12Ʉ ɨɤɪɭɠɧɨɫɬɢ ɫ ɰɟɧɬɪɨɦ ɜ ɬɨɱɤɟ O ɩɪɨɜɟɞɟɧɵ ɤɚɫɚɬɟɥɶɧɚɹ AB ɢ ɫɟɤɭɳɚɹ AO. ɇɚɣɞɢɬɟ ɪɚɞɢɭɫ ɨɤɪɭɠɧɨɫɬɢ, ɟɫɥɢ AB=12 ɫɦ, AO=13 ɫɦ.
Ɉɬɜɟɬ: 
13ɍɤɚɠɢɬɟ ɜ ɨɬɜɟɬɟ ɧɨɦɟɪɚ ɜɟɪɧɵɯ ɭɬɜɟɪɠɞɟɧɢɣ.
1)ȿɫɥɢ ɭ ɩɚɪɚɥɥɟɥɨɝɪɚɦɦɚ ɟɫɬɶ ɨɞɢɧ ɩɪɹɦɨɣ ɭɝɨɥ, ɬɨ ɷɬɨɬ ɩɚɪɚɥɥɟɥɨɝɪɚɦɦ -
ɩɪɹɦɨɭɝɨɥɶɧɢɤ
2)ɑɟɪɟɡ ɞɜɟ ɬɨɱɤɢ ɩɥɨɫɤɨɫɬɢ ɦɨɠɧɨ ɩɪɨɜɟɫɬɢ ɞɜɟ ɪɚɡɥɢɱɧɵɟ ɩɪɹɦɵɟ
3)ȿɫɥɢ ɞɜɟ ɫɬɨɪɨɧɵ ɢ ɭɝɨɥ ɦɟɠɞɭ ɧɢɦɢ ɨɞɧɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɪɚɜɧɵ ɞɜɭɦ ɫɬɨɪɨɧɚɦ ɢ ɭɝɥɭ ɦɟɠɞɭ ɧɢɦɢ ɞɪɭɝɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ, ɬɨ ɬɚɤɢɟ ɬɪɟɭɝɨɥɶɧɢɤɢ ɪɚɜɧɵ
Ɉɬɜɟɬ: 
Ɇɨɞɭɥɶ "Ɋɟɚɥɶɧɚɹ ɦɚɬɟɦɚɬɢɤɚ"
14Ʉɭɪɢɧɵɟ ɹɣɰɚ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɢɯ ɦɚɫɫɵ ɩɨɞɪɚɡɞɟɥɹɸɬ ɧɚ ɩɹɬɶ ɤɚɬɟɝɨɪɢɣ: ɜɵɫɲɚɹ, ɨɬɛɨɪɧɚɹ, ɩɟɪɜɚɹ, ɜɬɨɪɚɹ ɢ ɬɪɟɬɶɹ. ɂɫɩɨɥɶɡɭɹ ɞɚɧɧɵɟ, ɩɪɟɞɫɬɚɜɥɟɧɧɵɟ ɜ ɬɚɛɥɢɰɟ, ɨɩɪɟɞɟɥɢɬɟ, ɤ ɤɚɤɨɣ ɤɚɬɟɝɨɪɢɢ ɨɬɧɨɫɢɬɫɹ ɹɣɰɨ, ɦɚɫɫɨɣ 71,2 ɝ.
Ʉ ɬɟɝɨ ɹ |
Ɇ ɫɫ ɨɞɧɨɝɨ ɹ , ɧɟ ɦɟɧɟɟ, ɝ |
ȼɵɫɲɚɹ |
75,0 ɢ ɜɵɲɟ |
Ɉɬɛɨɪɧɚɹ |
65,0 - 74,9 |
ɉɟɪɜɚɹ |
55,0 - 64,9 |
ȼɬɨɪɚɹ |
45,0 - 54,9 |
Ɍɪɟɬɶɹ |
35,0 - 44,9 |
Ɉɬɜɟɬ: 
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 7 |
15ɇɚ ɬɪɟɧɢɪɨɜɤɟ ɜ 50-ɦɟɬɪɨɜɨɦ ɛɚɫɫɟɣɧɟ ɩɥɨɜɟɰ ɩɪɨɩɥɵɥ 200-ɦɟɬɪɨɜɭɸ ɞɢɫɬɚɧɰɢɸ. ɇɚ ɪɢɫɭɧɤɟ ɢɡɨɛɪɚɠɺɧ ɝɪɚɮɢɤ ɡɚɜɢɫɢɦɨɫɬɢ ɪɚɫɫɬɨɹɧɢɹ ɦɟɠɞɭ ɩɥɨɜɰɨɦ ɢ ɬɨɱɤɨɣ ɫɬɚɪɬɚ ɨɬ ɜɪɟɦɟɧɢ ɞɜɢɠɟɧɢɹ ɩɥɨɜɰɚ. Ɉɩɪɟɞɟɥɢɬɟ ɪɚɫɫɬɨɹɧɢɟ ɞɨ ɫɬɚɪɬɚ (ɜ ɦɟɬɪɚɯ) ɱɟɪɟɡ 40 ɫɟɤɭɧɞ ɨɬ ɧɚɱɚɥɚ ɡɚɩɥɵɜɚ.
Ɉɬɜɟɬ: 
16ɉɥɨɳɚɞɶ ɡɟɦɟɥɶ ɤɪɟɫɬɶɹɧɫɤɨɝɨ ɯɨɡɹɣɫɬɜɚ, ɡɚɧɹɬɚɹ ɩɨɞ ɩɨɫɚɞɤɭ ɫɟɥɶɫɤɨɯɨɡɹɣɫɬɜɟɧɧɵɯ ɤɭɥɶɬɭɪ, ɫɨɫɬɚɜɥɹɟɬ 24 ɝɚ ɢ ɪɚɫɩɪɟɞɟɥɟɧɚ ɦɟɠɞɭ ɡɟɪɧɨɜɵɦɢ ɢ ɨɜɨɳɧɵɦɢ ɤɭɥɶɬɭɪɚɦɢ ɜ ɨɬɧɨɲɟɧɢɢ 5:3. ɋɤɨɥɶɤɨ ɝɟɤɬɚɪɨɜ ɡɚɧɢɦɚɸɬ ɡɟɪɧɨɜɵɟ ɤɭɥɶɬɭɪɵ?
Ɉɬɜɟɬ: 
17ɋɬɨɥɛ ɜɵɫɨɬɨɣ 6 ɦ ɨɬɛɪɚɫɵɜɚɟɬ ɬɟɧɶ ɞɥɢɧɨɣ 4 ɦ. ɇɚɣɞɢɬɟ ɞɥɢɧɭ (ɜ ɦ) ɬɟɧɢ ɱɟɥɨɜɟɤɚ ɪɨɫɬɨɦ 1,8 ɦ, ɫɬɨɹɳɟɝɨ ɨɤɨɥɨ ɷɬɨɝɨ ɫɬɨɥɛɚ.
Ɉɬɜɟɬ: 
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 8 |
18ɇɚ ɞɢɚɝɪɚɦɦɟ ɩɪɟɞɫɬɚɜɥɟɧɚ ɢɧɮɨɪɦɚɰɢɹ ɨ ɤɨɥɢɱɟɫɬɜɟ ɫɨɬɨɜɵɯ ɬɟɥɟɮɨɧɨɜ, ɩɪɨɞɚɧɧɵɯ ɱɟɬɵɪɶɦɹ ɜɟɞɭɳɢɦɢ ɬɨɪɝɨɜɵɦɢ ɤɨɦɩɚɧɢɹɦɢ ɜ 2004 ɝ. ɇɚ ɫɤɨɥɶɤɨ ɬɟɥɟɮɨɧɨɜ ɤɨɦɩɚɧɢɟɣ ȿɜɪɨɫɟɬɶ ɛɵɥɨ ɩɪɨɞɚɧɨ ɛɨɥɶɲɟ, ɱɟɦ ɤɨɦɩɚɧɢɟɣ ɋɜɹɡɧɨɣ ɜ ɷɬɨɦ ɝɨɞɭ? Ɉɬɜɟɬ ɭɤɚɠɢɬɟ ɜ ɦɢɥɥɢɨɧɚɯ ɲɬɭɤ.
Ɉɬɜɟɬ: 
19ȼ ɤɨɪɨɛɤɟ ɥɟɠɚɬ ɲɚɪɢɤɨɜɵɟ ɚɜɬɨɪɭɱɤɢ, ɨɞɢɧɚɤɨɜɵɟ ɧɚ ɜɢɞ: 5 ɫ ɤɪɚɫɧɨɣ ɩɚɫɬɨɣ, 7 ɫ ɡɟɥɺɧɨɣ ɢ 8 ɫ ɫɢɧɟɣ. Ʉɚɬɹ ɧɚɭɝɚɞ ɜɵɛɢɪɚɟɬ ɨɞɧɭ ɚɜɬɨɪɭɱɤɭ. ɇɚɣɞɢɬɟ ɜɟɪɨɹɬɧɨɫɬɶ ɬɨɝɨ, ɱɬɨ ɨɧɚ ɨɤɚɠɟɬɫɹ ɫ ɫɢɧɟɣ ɩɚɫɬɨɣ.
Ɉɬɜɟɬ: 
20ȼɵɫɨɬɭ h (ɜ ɦ), ɧɚ ɤɨɬɨɪɨɣ ɱɟɪɟɡ t ɫɟɤɭɧɞ ɨɤɚɠɟɬɫɹ ɬɟɥɨ, ɫɜɨɛɨɞɧɨ ɩɚɞɚɸɳɟɟ ɫ
ɧɟɤɨɬɨɪɨɣ ɜɵɫɨɬɵ H (ɜ ɦ), ɦɨɠɧɨ ɩɪɢɛɥɢɠɟɧɧɨ ɜɵɱɢɫɥɢɬɶ ɩɨ ɮɨɪɦɭɥɟ
h H 5t2. ɇɚ ɤɚɤɨɣ ɜɵɫɨɬɟ ɨɤɚɠɟɬɫɹ ɬɟɥɨ ɱɟɪɟɡ 2 ɫɟɤɭɧɞɵ ɩɨɥɺɬɚ ɫ 50-ɬɢɦɟɬɪɨɜɨɣ ɜɵɫɨɬɵ?
Ɉɬɜɟɬ: 
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ |
Ɇɚɬɟɦɚɬɢɤɚ. 9 ɤɥɚɫɫ. ȼɚɪɢɚɧɬ 8 |
ȼɢɞɟɨɪɚɡɛɨɪ ɧɚ ɫɚɣɬɟ www.statgrad.cde.ru 9 |
ɑɚɫɬɶ 2
ɉɪɢ ɜɵɩɨɥɧɟɧɢɢ ɡɚɞɚɧɢɣ 21–26 ɢɫɩɨɥɶɡɭɣɬɟ ɨɬɞɟɥɶɧɵɣ ɥɢɫɬ. ɋɧɚɱɚɥɚ ɭɤɚɠɢɬɟ ɧɨɦɟɪ ɡɚɞɚɧɢɹ, ɚ ɡɚɬɟɦ ɡɚɩɢɲɢɬɟ ɟɝɨ ɪɟɲɟɧɢɟ ɢ ɨɬɜɟɬ. ɉɢɲɢɬɟ ɱɺɬɤɨ ɢ ɪɚɡɛɨɪɱɢɜɨ.
Ɇɨɞɭɥɶ "Ⱥɥɝɟɛɪɚ"
21 |
ɍɩɪɨɫɬɢɬɟ ɜɵɪɚɠɟɧɢɟ |
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54 |
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5 |
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31 |
31 |
5 |
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22 |
Ɉɞɢɧ ɢɡ ɤɨɪɧɟɣ ɭɪɚɜɧɟɧɢɹ 3x2 |
5x |
2m |
0 ɪɚɜɟɧ 1. ɇɚɣɞɢɬɟ ɜɬɨɪɨɣ ɤɨɪɟɧɶ. |
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23ɇɚɣɞɢɬɟ ɧɚɢɦɟɧɶɲɟɟ ɡɧɚɱɟɧɢɟ ɜɵɪɚɠɟɧɢɹ ɢ ɡɧɚɱɟɧɢɹ x ɢ y, ɩɪɢ ɤɨɬɨɪɵɯ ɨɧɨ ɞɨɫɬɢɝɚɟɬɫɹ: 3x 4y 2
x 5y 3.
Ɇɨɞɭɥɶ "Ƚɟɨɦɟɬɪɢɹ"
24ɇɚɣɞɢɬɟ ɜɟɥɢɱɢɧɭ ɭɝɥɚ COE, ɟɫɥɢ OE – ɛɢɫɫɟɤɬɪɢɫɚ ɭɝɥɚ AOC, OD – ɛɢɫɫɟɤɬɪɢɫɚ ɭɝɥɚ COB.
25ɋɟɪɟɞɢɧɚ ɫɬɨɪɨɧɵ ɩɚɪɚɥɥɟɥɨɝɪɚɦɦɚ ɪɚɜɧɨɭɞɚɥɟɧɚ ɨɬ ɤɨɧɰɨɜ ɟɝɨ ɩɪɨɬɢɜɨɩɨɥɨɠɧɨɣ ɫɬɨɪɨɧɵ. Ⱦɨɤɚɠɢɬɟ, ɱɬɨ ɞɚɧɧɵɣ ɩɚɪɚɥɥɟɥɨɝɪɚɦɦ – ɩɪɹɦɨɭɝɨɥɶɧɢɤ.
26Ɉɫɧɨɜɚɧɢɟ AC ɪɚɜɧɨɛɟɞɪɟɧɧɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ABC ɪɚɜɧɨ 10. Ɉɤɪɭɠɧɨɫɬɶ ɪɚɞɢɭɫɚ 7, 5 ɫ ɰɟɧɬɪɨɦ ɜɧɟ ɷɬɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ɤɚɫɚɟɬɫɹ ɩɪɨɞɨɥɠɟɧɢɹ ɛɨɤɨɜɵɯ ɫɬɨɪɨɧ ɬɪɟɭɝɨɥɶɧɢɤɚ ɢ ɤɚɫɚɟɬɫɹ ɨɫɧɨɜɚɧɢɹ AC ɜ ɟɝɨ ɫɟɪɟɞɢɧɟ. ɇɚɣɞɢɬɟ ɪɚɞɢɭɫ ɨɤɪɭɠɧɨɫɬɢ, ɜɩɢɫɚɧɧɨɣ ɜ ɬɪɟɭɝɨɥɶɧɢɤ ABC.
© ɆɂɈɈ 2012 ɝ. ɉɭɛɥɢɤɚɰɢɹ ɜ ɂɧɬɟɪɧɟɬɟ ɢɥɢ ɩɟɱɚɬɧɵɯ ɢɡɞɚɧɢɹɯ ɛɟɡ ɩɢɫɶɦɟɧɧɨɝɨ ɫɨɝɥɚɫɢɹ ɆɂɈɈ ɡɚɩɪɟɳɟɧɚ