УТП - Сборник задач
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ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ. 7.1
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ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ. 7.1
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Ɉɤɨɧɱɚɧɢɟ ɬɚɛɥ. 7.1
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ɋɩɪɚɜɨɱɧɵɟ ɦɚɬɟɪɢɚɥɵ
ɉɪɢɦɟɪɵ ɫɯɟɦ ɨɛɪɚɛɨɬɤɢ ɮɪɟɡɟɪɨɜɚɧɢɟɦ (ɬɚɛɥ. 7.2, 7.3)
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Ɍɚɛɥɢɰɚ 7.2 |
Ɉɛɪɚɛɨɬɤɚ ɮɪɟɡɟɪɨɜɚɧɢɟɦ ɧɚ ɜɟɪɬɢɤɚɥɶɧɨ-ɮɪɟɡɟɪɧɨɦ ɫɬɚɧɤɟ |
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ɋɯɟɦɚ ɨɛɪɚɛɨɬɤɢ |
ɋɨɞɟɪɠɚɧɢɟ ɨɛɪɚɛɨɬɤɢ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɝɨɪɢɡɨɧɬɚɥɶɧɭɸ |
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ɩɥɨɫɤɭɸ ɩɨɜɟɪɯɧɨɫɬɶ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɬɨɪɰɨɜɚɹ ɧɚɫɚɞɧɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɩɪɹɦɨɭɝɨɥɶɧɵɣ ɩɚɡ |
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ɜ ɝɨɪɢɡɨɧɬɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɤɨɧɰɟɜɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɩɪɹɦɨɭɝɨɥɶɧɵɣ ɭɫɬɭɩ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɤɨɧɰɟɜɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ Ɍ-ɨɛɪɚɡɧɵɣ ɩɚɡ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɞɢɫɤɨɜɚɹ |
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ɬɪɟɯɫɬɨɪɨɧɧɹɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɮɚɫɨɧɧɵɣ ɩɚɡ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɮɚɫɨɧɧɚɹ |
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ɉɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ. 7.2
ɋɯɟɦɚ ɨɛɪɚɛɨɬɤɢ |
ɋɨɞɟɪɠɚɧɢɟ ɨɛɪɚɛɨɬɤɢ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɜɟɪɬɢɤɚɥɶɧɭɸ ɩɥɨɫɤɭɸ ɩɨɜɟɪɯɧɨɫɬɶ
ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɤɨɧɰɟɜɚɹ
Ɏɪɟɡɟɪɨɜɚɬɶ ɩɪɹɦɨɭɝɨɥɶɧɵɣ ɩɚɡ ɜ ɜɟɪɬɢɤɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ
ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɞɢɫɤɨɜɚɹ ɬɪɟɯɫɬɨɪɨɧɧɹɹ
Ɏɪɟɡɟɪɨɜɚɬɶ ɧɚɤɥɨɧɧɭɸ ɩɥɨɫɤɭɸ ɩɨɜɟɪɯɧɨɫɬɶ
ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɬɨɪɰɨɜɚɹ ɧɚɫɚɞɧɚɹ
Ɏɪɟɡɟɪɨɜɚɬɶ ɩɚɡ «ɥɚɫɬɨɱɤɢɧ ɯɜɨɫɬ» ɜ ɝɨɪɢɡɨɧɬɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ
ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɨɞɧɨɭɝɥɨɜɚɹ
Ɏɪɟɡɟɪɨɜɚɬɶ ɜɩɚɞɢɧɵ ɡɭɛɱɚɬɨɝɨ ɤɨɥɟɫɚ
ɂɧɫɬɪɭɦɟɧɬ: ɩɚɥɶɰɟɜɚɹ ɦɨɞɭɥɶɧɚɹ ɮɪɟɡɚ
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Ɍɚɛɥɢɰɚ 7.3 |
Ɉɛɪɚɛɨɬɤɚ ɮɪɟɡɟɪɨɜɚɧɢɟɦ ɧɚ ɝɨɪɢɡɨɧɬɚɥɶɧɨ-ɮɪɟɡɟɪɧɨɦ ɫɬɚɧɤɟ |
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ɋɯɟɦɚ ɨɛɪɚɛɨɬɤɢ |
ɋɨɞɟɪɠɚɧɢɟ ɨɛɪɚɛɨɬɤɢ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɩɥɨɫɤɭɸ ɝɨɪɢɡɨɧɬɚɥɶɧɭɸ |
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ɩɨɜɟɪɯɧɨɫɬɶ |
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ɂɧɫɬɪɭɦɟɧɬ: |
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ɮɪɟɡɚ ɰɢɥɢɧɞɪɢɱɟɫɤɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɩɥɨɫɤɭɸ ɝɨɪɢɡɨɧɬɚɥɶɧɭɸ |
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ɩɨɜɟɪɯɧɨɫɬɶ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɞɢɫɤɨɜɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɩɪɹɦɨɭɝɨɥɶɧɵɣ ɭɫɬɭɩ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɬɨɪɰɨɜɚɹ ɧɚɫɚɞɧɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɮɚɫɨɧɧɵɣ ɩɚɡ |
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ɜ ɝɨɪɢɡɨɧɬɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɞɜɭɯɭɝɥɨɜɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɮɚɫɨɧɧɭɸ ɩɨɜɟɪɯɧɨɫɬɶ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɮɚɫɨɧɧɚɹ |
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Ɉɤɨɧɱɚɧɢɟ ɬɚɛɥ. 7.3 |
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ɋɯɟɦɚ ɨɛɪɚɛɨɬɤɢ |
ɋɨɞɟɪɠɚɧɢɟ ɨɛɪɚɛɨɬɤɢ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɜɟɪɬɢɤɚɥɶɧɭɸ ɩɥɨɫɤɭɸ |
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ɩɨɜɟɪɯɧɨɫɬɶ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɬɨɪɰɨɜɚɹ ɧɚɫɚɞɧɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɩɪɹɦɨɭɝɨɥɶɧɵɣ ɩɚɡ |
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ɜ ɜɟɪɬɢɤɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɤɨɧɰɟɜɚɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɩɪɹɦɨɭɝɨɥɶɧɵɣ ɩɚɡ |
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ɜ ɝɨɪɢɡɨɧɬɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ |
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ɂɧɫɬɪɭɦɟɧɬ: ɮɪɟɡɚ ɞɢɫɤɨɜɚɹ |
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ɬɪɟɯɫɬɨɪɨɧɧɹɹ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɧɟɫɤɨɥɶɤɨ ɩɨɜɟɪɯɧɨɫɬɟɣ |
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ɨɞɧɨɜɪɟɦɟɧɧɨ |
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ɂɧɫɬɪɭɦɟɧɬ: ɧɚɛɨɪ ɞɢɫɤɨɜɵɯ ɮɪɟɡ |
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Ɏɪɟɡɟɪɨɜɚɬɶ ɜɩɚɞɢɧɵ ɡɭɛɱɚɬɨɝɨ ɤɨɥɟɫɚ |
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ɂɧɫɬɪɭɦɟɧɬ: ɞɢɫɤɨɜɚɹ ɦɨɞɭɥɶɧɚɹ ɮɪɟɡɚ |
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Ɍɟɦɚ 8. ɁɍȻɈɎɊȿɁȿɊɈȼȺɇɂȿ
Ɂɚɞɚɱɚ. ɇɚɥɚɞɢɬɶ ɡɭɛɨɮɪɟɡɟɪɧɵɣ ɫɬɚɧɨɤ ɧɚ ɧɚɪɟɡɚɧɢɟ ɰɢɥɢɧɞɪɢɱɟɫɤɨɝɨ ɤɨɫɨɡɭɛɨɝɨ ɡɭɛɱɚɬɨɝɨ ɤɨɥɟɫɚ ɧɚɪɭɠɧɨɝɨ ɡɚɰɟɩɥɟɧɢɹ ɷɜɨɥɶɜɟɧɬɧɨɝɨ ɩɪɨɮɢɥɹ ɩɨ ɜɚɪɢɚɧɬɚɦ (ɬɚɛɥ. 8.1).
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ɂɫɯɨɞɧɵɟ ɞɚɧɧɵɟ |
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Ɍɚɛɥɢɰɚ 8.1 |
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ɇɨɦɟɪ |
Ɍɢɩ ɡɭɛɱɚɬɨɝɨ |
Ɇɨɞɭɥɶ |
ɑɢɫɥɨ ɧɚɪɟɡɚɟ- |
Ɇɚɬɟɪɢɚɥ |
ȼɢɞ |
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ɡɭɛɱɚɬɨɝɨ |
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ɜɚɪɢɚɧɬɚ |
ɤɨɥɟɫɚ |
m, ɦɦ |
ɦɵɯ ɡɭɛɶɟɜ z |
ɨɛɪɚɛɨɬɤɢ |
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ɤɨɥɟɫɚ |
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1 |
Ʉɨɫɨɡɭɛɨɟ |
1,0 |
20 |
ɋɬɚɥɶ 35 |
ɑɟɪɧɨɜɚɹ |
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ɫ ɩɪɚɜɵɦ |
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ɧɚɤɥɨɧɨɦ ɡɭɛɚ |
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2 |
(Ε = 15θ) |
1,25 |
25 |
ɋɬɚɥɶ 35 |
ɑɟɪɧɨɜɚɹ |
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3 |
Ʉɨɫɨɡɭɛɨɟ |
1,5 |
30 |
ɑɭɝɭɧ ɋɑ18 |
ɑɢɫɬɨɜɚɹ |
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ɫ ɩɪɚɜɵɦ |
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ɧɚɤɥɨɧɨɦ ɡɭɛɚ |
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4 |
(Ε = 20θ) |
2,0 |
35 |
ɑɭɝɭɧ ɋɑ18 |
ɑɢɫɬɨɜɚɹ |
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5 |
Ʉɨɫɨɡɭɛɨɟ |
2,5 |
29 |
ɋɬɚɥɶ 40ɏ |
ɑɟɪɧɨɜɚɹ |
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ɫ ɩɪɚɜɵɦ |
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ɧɚɤɥɨɧɨɦ ɡɭɛɚ |
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6 |
(Ε = 30θ) |
3,0 |
50 |
ɋɬɚɥɶ 40ɏ |
ɑɟɪɧɨɜɚɹ |
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7 |
Ʉɨɫɨɡɭɛɨɟ |
3,0 |
37 |
ɋɬɚɥɶ 40ɏ |
ɑɟɪɧɨɜɚɹ |
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ɫ ɥɟɜɵɦ |
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ɧɚɤɥɨɧɨɦ ɡɭɛɚ |
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8 |
(Ε = 30θ) |
2,5 |
50 |
ɋɬɚɥɶ 40ɏ |
ɑɟɪɧɨɜɚɹ |
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9 |
Ʉɨɫɨɡɭɛɨɟ |
2,0 |
30 |
ɑɭɝɭɧ ɋɑ18 |
ɑɢɫɬɨɜɚɹ |
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ɫ ɥɟɜɵɦ |
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ɧɚɤɥɨɧɨɦ ɡɭɛɚ |
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10 |
(Ε = 20θ) |
1,5 |
35 |
ɑɭɝɭɧ ɋɑ18 |
ɑɢɫɬɨɜɚɹ |
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11 |
Ʉɨɫɨɡɭɛɨɟ |
1,25 |
20 |
ɋɬɚɥɶ 35 |
ɑɟɪɧɨɜɚɹ |
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ɫ ɥɟɜɵɦ |
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ɧɚɤɥɨɧɨɦ ɡɭɛɚ |
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12 |
(Ε = 15θ) |
1,0 |
25 |
ɋɬɚɥɶ 35 |
ɑɟɪɧɨɜɚɹ |
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ɋɩɪɚɜɨɱɧɵɟ ɦɚɬɟɪɢɚɥɵ
Ⱦɚɧɧɵɟ, ɧɟɨɛɯɨɞɢɦɵɟ ɞɥɹ ɜɵɩɨɥɧɟɧɢɹ ɡɚɞɚɧɢɹ, ɩɪɢɜɟɞɟɧɵ ɜ ɬɚɛɥ. 8.2–8.8.
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ɇɚɛɨɪ ɱɟɪɜɹɱɧɵɯ ɦɨɞɭɥɶɧɵɯ ɮɪɟɡ |
Ɍɚɛɥɢɰɚ 8.2 |
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Ɇɨɞɭɥɶ |
Ⱦɢɚɦɟɬɪ ɱɟɪɜɹɱɧɨɣ ɦɨɞɭɥɶɧɨɣ ɮɪɟɡɵ Dɮ, ɦɦ |
ɍɝɨɥ ɩɨɞɴɟɦɚ ɜɢɧɬɨɜɨɣ |
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ɥɢɧɢɢ ɮɪɟɡɵ Ζ, |
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m, ɦɦ |
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ɑɟɪɧɨɜɚɹ |
ɑɢɫɬɨɜɚɹ |
ɝɪɚɞ; ɦɢɧ |
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ɨɛɪɚɛɨɬɤɚ |
ɨɛɪɚɛɨɬɤɚ |
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1,0 |
63 |
71 |
2Û31´ |
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1,25 |
63 |
71 |
2Û31´ |
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1,5 |
63 |
80 |
2Û31´ |
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2,0 |
70 |
90 |
2Û56´ |
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2,5 |
80 |
100 |
2Û56´ |
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3,0 |
90 |
112 |
3Û47´ |
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ɉɪɢɦɟɱɚɧɢɟ. Ɇɚɬɟɪɢɚɥ ɢɧɫɬɪɭɦɟɧɬɚ: ɛɵɫɬɪɨɪɟɠɭɳɚɹ ɫɬɚɥɶ P9Ʉ10; ɱɢɫɥɨ ɡɚɯɨɞɨɜ ɮɪɟ- |
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ɡɵ K = 1; ɧɚɩɪɚɜɥɟɧɢɟ ɭɝɥɚ ɩɨɞɴɟɦɚ ɜɢɧɬɨɜɨɣ ɥɢɧɢɢ ɱɟɪɜɹɱɧɨɣ ɦɨɞɭɥɶɧɨɣ ɮɪɟɡɵ — ɩɪɚ- |
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ɜɨɟ. |
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Ɋɟɤɨɦɟɧɞɭɟɦɵɟ ɪɟɠɢɦɵ ɪɟɡɚɧɢɹ (ɬɚɛɥ. 8.3, 8.4)
Ɍɚɛɥɢɰɚ 8.3
ɋɤɨɪɨɫɬɶ ɪɟɡɚɧɢɹ ɢ ɜɟɥɢɱɢɧɚ ɜɟɪɬɢɤɚɥɶɧɨɣ ɩɨɞɚɱɢ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɜɢɞɚ ɨɛɪɚɛɨɬɤɢ
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ȼɢɞ ɨɛɪɚ- |
Ɇɨɞɭɥɶ m, |
ɋɤɨɪɨɫɬɶ ɪɟ- |
ɉɨɞɚɱɚ ɮɪɟɡɵ Sɜ ɬɚɛɥ, ɦɦ/ɨɛ. ɫɬɨɥɚ, ɜ ɡɚɜɢɫɢ- |
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ɡɚɧɢɹ vɬɚɛɥ, |
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ɦɨɫɬɢ ɨɬ ɱɢɫɥɚ ɧɚɪɟɡɚɟɦɵɯ ɡɭɛɶɟɜ z |
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ɛɨɬɤɢ |
ɦɦ |
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ɦ/ɫ |
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20…25 |
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26…50 |
Ȼɨɥɟɟ 50 |
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ɑɟɪɧɨɜɚɹ |
1…5 |
1…1,1 |
1,5 |
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2,0 |
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2,3 |
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ɑɢɫɬɨɜɚɹ |
1...5 |
1…1,2 |
1,0 |
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1,5 |
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1,5 |
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Ƚɥɭɛɢɧɚ ɪɟɡɚɧɢɹ t, ɦɦ, ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɦɨɞɭɥɹ m |
Ɍɚɛɥɢɰɚ 8.4 |
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Ɇɨɞɭɥɶ m, ɦɦ, ɱɟɪɜɹɱɧɨɣ |
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1,0 |
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1,25 |
1,5 |
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2,0 |
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2,5 |
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3,0 |
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ɦɨɞɭɥɶɧɨɣ ɮɪɟɡɵ |
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Ƚɥɭɛɢɧɚ ɪɟɡɚɧɢɹ t, ɦɦ |
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2,0 |
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2,75 |
3,3 |
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4,4 |
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5,5 |
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6,6 |
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39
Ɍɚɛɥɢɰɚ 8.5
ɉɨɩɪɚɜɨɱɧɵɟ ɤɨɷɮɮɢɰɢɟɧɬɵ ɞɥɹ ɪɚɫɱɟɬɚ ɪɟɠɢɦɧɵɯ ɩɚɪɚɦɟɬɪɨɜ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɨɛɪɚɛɚɬɵɜɚɟɦɨɝɨ ɦɚɬɟɪɢɚɥɚ
ɉɨɩɪɚɜɨɱɧɵɟ |
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Ɇɚɬɟɪɢɚɥ |
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Ɉɛɪɚɛɚɬɵɜɚɟɦɵɣ ɦɚɬɟɪɢɚɥ |
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ɤɨɷɮɮɢɰɢɟɧɬɵ |
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ɢɧɫɬɪɭɦɟɧɬɚ |
ɋɬɚɥɶ 35 |
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ɋɬɚɥɶ 40ɏ |
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ɑɭɝɭɧ ɋɑ18 |
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K1 |
Ȼɵɫɬɪɨɪɟɠɭɳɚɹ |
1,1 |
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1,0 |
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1,2 |
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K2 |
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ɫɬɚɥɶ P9K10 |
1,2 |
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1,0 |
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1,4 |
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Ɍɚɛɥɢɰɚ 8.6 |
Ɂɧɚɱɟɧɢɹ ɱɚɫɬɨɬɵ ɜɪɚɳɟɧɢɹ ɲɩɢɧɞɟɥɹ ɡɭɛɨɮɪɟɡɟɪɧɨɝɨ ɫɬɚɧɤɚ 5Ʉ310 |
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n, ɦɢɧ–1 |
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63; 80; 100; 125; 160; 200; 250; 315; 400 |
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Ɍɚɛɥɢɰɚ 8.7 |
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ȼɟɥɢɱɢɧɵ ɩɨɞɚɱ ɡɭɛɨɮɪɟɡɟɪɧɨɝɨ ɫɬɚɧɤɚ 5Ʉ310 |
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S, ɦɦ/ɨɛ. ɫɬɨɥɚ |
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0,63; 0,8; 1,25; 1,6; 2; 2,5; 3,15; 4 |
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Ɍɚɛɥɢɰɚ 8.8
ɇɚɛɨɪ ɫɦɟɧɧɵɯ ɡɭɛɱɚɬɵɯ ɤɨɥɟɫ ɞɥɹ ɧɚɫɬɪɨɣɤɢ ɝɢɬɚɪɵ ɞɟɥɟɧɢɹ ɢ ɝɢɬɚɪɵ ɞɢɮɮɟɪɟɧɰɢɚɥɚ
25 (2 ɲɬ.); 27; 30 (2 ɲɬ.); 32; 34; 36 (2 ɲɬ.); 37; 38; 40 (2 ɲɬ.); 41; 43; 45; 48 (2 ɲɬ.); 50 (2 ɲɬ.); 53; 55 (2 ɲɬ.); 58; 59; 60; 61; 62; 64; 65 (2 ɲɬ.); 67; 70; 71; 74; 75; 79; 80; 83; 85;
89; 90; 95; 97; 98; 100
ɉɪɢɦɟɱɚɧɢɟ. ɍɫɥɨɜɢɟ ɫɰɟɩɥɹɟɦɨɫɬɢ ɡɭɛɱɚɬɵɯ ɤɨɥɟɫ ɝɢɬɚɪɵ ɞɟɥɟɧɢɹ: 75 ɚ + b 121, 90 c + d 134;
ɭɫɥɨɜɢɟ ɫɰɟɩɥɹɟɦɨɫɬɢ ɡɭɛɱɚɬɵɯ ɤɨɥɟɫ ɝɢɬɚɪɵ ɞɢɮɮɟɪɟɧɰɢɚɥɚ: a1 + b1 c1 + 15, c1 + d1 b1 + 15.
40