Моделирование предохранительных конструкций. Учебное пособие
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A = B = 1 71 Â í C = Â 4; |
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ɬɟɩɥɨɟɦɤɨɫɬɢ ɋɈ : |
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A = B = Â í C = í Â 5; |
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ɬɟɩɥɨɟɦɤɨɫɬɢ 1 : |
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B Ɍɩ |
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ɤȾɠ ɤɝÂ. |
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Cv = C p ɤȾɠ ɤɝÂK
A = B = Â – C = .
4.2.2 ǴȇȜȕȍȋȌȔȏȌ ȘșȌȖȌȔȏ ȎȇȊȇȎȕȉȇȔȔȕȘșȏ ȖȕȓȌȠȌȔȏȦ Ȗȗȏ ȇȉȇȗȏȏ ȏ ȇȉȇȗȏȐȔȕȐ ȓȇȘȘȢ
Ⱦɥɹ ɩɪɨɜɟɞɟɧɢɹ ɞɚɧɧɨɝɨ ɪɚɫɱɟɬɚ ɧɟɨɛɯɨɞɢɦɨ ɜɜɟɫɬɢ ɧɟɤɨɬɨɪɵɟ ɞɨɩɭ ɳɟɧɢɹ
xɤɨɧɰɟɧɬɪɚɰɢɹ ɫɦɟɫɢ ɝɨɪɸɱɟɝɨ ɫ ɜɨɡɞɭɯɨɦ ɬɚɤɚɹ ɱɬɨ ɨɛɟɫɩɟɱɢɜɚɟɬɫɹ ɩɨɥɧɨɟɫɝɨɪɚɧɢɟɛɟɡɢɡɛɵɬɤɚɢɥɢɧɟɞɨɫɬɚɬɤɚɤɢɫɥɨɪɨɞɚ– ɫɬɟɯɢɨɦɟɬ ɪɢɱɟɫɤɚɹ
xɜɡɪɵɜ ɩɪɨɢɫɯɨɞɢɬ ɩɪɢ ɫɚɦɵɯ ɧɟɛɥɚɝɨɩɪɢɹɬɧɵɯ ɭɫɥɨɜɢɹɯ
xɚɜɚɪɢɣɧɚɹɜɟɧɬɢɥɹɰɢɹɧɟɤɨɦɩɟɧɫɢɪɭɟɬɢɫɩɚɪɟɧɢɟɪɚɡɥɢɜɲɟɣɫɹɠɢɞ ɤɨɫɬɢ
ɋɬɟɩɟɧɶ ɩɨɜɵɲɟɧɢɹ ɞɚɜɥɟɧɢɹ G |
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ɋɬɟɩɟɧɶ ɪɚɫɲɢɪɟɧɢɹ H |
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n
71
ɉɨɤɚɡɚɬɟɥɶ ɚɞɢɚɛɚɬɵ J |
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ɉɥɨɬɧɨɫɬɶ ɝɚɡɚ ɜ ɩɨɦɟɳɟɧɢɢ: U |
ɝɩ |
= ɤɝ ɦ |
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8 Ɍɩ |
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ɝɞɟ P = ɤɉɚ– ɚɬɦɨɫɮɟɪɧɨɟ ɞɚɜɥɟɧɢɟ.
ɋɬɟɯɢɨɦɟɬɪɢɱɟɫɤɚɹ ɤɨɧɰɟɧɬɪɚɰɢɹ ɜɟɳɟɫɬɜɚ ɫɫɬɯ = D =
E D
ɝɞɟ Į 66 – ɞɨɥɹ ɤɢɫɥɨɪɨɞɚ ɜ ɫɨɫɬɚɜɟ ɜɨɡɞɭɯɚ.
Ɍɟɦɩɟɪɚɬɭɪɚ ɪɚɡɥɢɜɲɟɣɫɹ ɜ ɰɟɯɟ ɠɢɞɤɨɫɬɢ Ɍɩ tɠ + K tɠ
°ɋ
ɉɥɨɳɚɞɶ ɪɚɡɥɢɜɚ ɠɢɞɤɨɫɬɢ Sp = f mɠ = ɦ . |
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U |
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ɉɥɨɳɚɞɶ ɰɟɯɚ Sɰ /Â% ɦ . |
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ɉɥɨɳɚɞɶ ɢɫɩɚɪɟɧɢɹ Fɢɫɩ min{Sɰ;Sɪ } ɦ . |
1 6 ɤɉɚ. |
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Ⱦɚɜɥɟɧɢɟ ɧɚɫɵɳɟɧɧɨɝɨ ɩɚɪɚ Ps |
A B C tɠ |
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Aɜ L |
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ɋɤɨɪɨɫɬɶ ɞɜɢɠɟɧɢɹ ɜɨɡɞɭɯɚ ɜ ɩɨɦɟɳɟɧɢɢ 8 |
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ɦ F. |
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Ɍɨɝɞɚ ɤɨɷɮɮɢɰɢɟɧɬ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɢɫɩɚɪɟɧɢɹ ɛɭɞɟɬ ɪɚɜɟɧ Ș . ɂɧɬɟɧɫɢɜɧɨɫɬɶ ɢɫɩɚɪɟɧɢɹ ɠɢɞɤɨɫɬɢ Wɢ 6Â 3SÂȘ P Â
 í5 ɤɝ ɫ·ɦ .
ȼɪɟɦɹ ɢɫɩɚɪɟɧɢɹ ɪɚɡɥɢɜɲɟɣɫɹ ɠɢɞɤɨɫɬɢ tɢɫɩ |
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mɠ |
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16 ɫ. |
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ɢ |
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ɢɫɩ |
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Ɋɚɫɱɟɬɧɨɟ ɜɪɟɦɹ ɢɫɩɚɪɟɧɢɹ tɪ min {tɢɫɩ; ` ɫ. Ɇɚɫɫɚ ɢɫɩɚɪɢɜɲɟɣɫɹ ɠɢɞɤɨɫɬɢ mɢ WɪÂ :ɢ Â )ɢɫɩ ɤɝ. Ɇɚɫɫɚ ɢɫɩɚɪɢɜɲɟɣɫɹ ɠɢɞɤɨɫɬɢ ɨɫɬɚɜɲɟɣɫɹ ɜ ɩɨɦɟɳɟɧɢɢ ɫ ɭɱɟɬɨɦ ɪɚ
ɛɨɬɵ ɚɜɚɪɢɣɧɨɣ ɜɟɧɬɢɥɹɰɢɢ m* = |
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mɢ |
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ɤɝ. |
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ɜ |
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ɋɜɨɛɨɞɧɵɣ ɨɛɴɟɦ ɩɨɦɟɳɟɧɢɹ V Â / Â % Â + |
ɦ . |
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Ɇɚɫɫɚ ɪɚɡɥɢɜɲɟɝɨɫɹ ɜɟɳɟɫɬɜɚ ɫɨɡɞɚɸɳɚɹ ɜ ɩɨɦɟɳɟɧɢɢ ɫɬɟɯɢɨɦɟɬɪɢ |
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ɱɟɫɤɭɸ ɤɨɧɰɟɧɬɪɚɰɢɸ mɫɬɯ ȡɝɩ Â 9 Â ɫɫɬɯ ɤɝ. |
PS V P |
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Ɇɚɫɫɚ ɧɚɫɵɳɟɧɧɨɝɨ ɩɚɪɚ ɜ ɩɨɦɟɳɟɧɢɢ mS = |
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ɤɝ. |
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8 T |
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Ɇɚɫɫɚ ɜɟɳɟɫɬɜɚ ɢɫɩɨɥɶɡɭɟɦɚɹ ɜ ɪɚɫɱɟɬɚɯ Mɪɚɫɱ |
min{m*; mS; mɫɬɯ} |
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ɤɝ. |
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M ɪɚɫɱ |
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Ɉɛɴɟɦ ɨɛɥɚɤɚ ɩɚɪɨ ɜɨɡɞɭɲɧɨɣ ɫɦɟɫɢ Vɉɪȼɋ = |
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65 ɦ . |
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ɫɬɯ |
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ɋɬɟɩɟɧɶ ɡɚɝɚɡɨɜɚɧɧɨɫɬɢ ɩɨɦɟɳɟɧɢɹ ] |
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min{Vɉɪȼɋ; V |
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72
4.2 ǷȇȘȞȌș ȎȔȇȞȌȔȏȐ ȖȕȗȇȍȇȥȠȏȜ țȇȑșȕȗȕȉ Ȗȗȏ ȋȌțȒȇȊȗȇȝȏȕȔȔȕȓ ȉȎȗȢȉȌ
Ɇɚɤɫɢɦɚɥɶɧɨ ɩɨɜɵɲɟɧɢɟ ɞɚɜɥɟɧɢɹ ǻPmax |
3 · į |
ɤɉɚ. |
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ɂɡɛɵɬɨɱɧɨɟ ɞɚɜɥɟɧɢɟ ɩɪɢ ɜɡɪɵɜɟ ǻ3 |
'Pmax ] |
ɤɉɚ. |
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V1 |
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ɉɪɨɞɨɥɠɢɬɟɥɶɧɨɫɬɶ ɜɡɪɵɜɧɨɝɨ ɝɨɪɟɧɢɹ t |
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ɉɪȼɋ |
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ɫ. |
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ɉɪɨɞɨɥɠɢɬɟɥɶɧɨɫɬɶ ɮɚɡɵ ɫɠɚɬɢɹ IJ 5Â W |
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1 Uɇ a H |
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c |
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ɂɦɩɭɥɶɫ ɧɚ ɢɧɬɟɪɜɚɥɟ ɝɨɪɟɧɢɹ i |
t 'P |
ɤɉɚ·ɫ. |
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ɂɦɩɭɥɶɫ ɧɚ ɢɧɬɟɪɜɚɥɟ ɫɠɚɬɢɹ i |
W 'P = ɤɉɚÂɫ. |
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4.2 ǷȇȘȞȌș ȎȔȇȞȌȔȏȐ ȖȕȗȇȍȇȥȠȏȜ țȇȑșȕȗȕȉ Ȗȗȏ ȋȌșȕȔȇȝȏȕȔȔȕȓ ȉȎȗȢȉȌ
ɉɥɨɬɧɨɫɬɶ ɝɚɡɨɜɨɣ ɫɦɟɫɢ ȡɫɦ ȡɩɩÂ ɫɫɬɯ íɫɫɬɯ Â |
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ɤɝ ɦ . |
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T |
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Qɧ cɫɬɯ Uɝɩ |
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ɩ |
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ɋɬɟɯɢɨɦɟɬɪɢɱɟɫɤɚɹ ɬɟɩɥɨɬɚ Qɫɬɯ |
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ɤȾɠ. |
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Uɫɦ |
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Ⱦɚɜɥɟɧɢɟ ɜ ɨɫɧɨɜɧɨɣ ɫɬɚɞɢɢ Pɞ |
ā Ȗ í Â ȡɫɦ ·Qɫɬɯ = ɤɉɚ. |
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'Pɞ |
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Pɞ P |
ɤɉɚ. |
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ɂɡɛɵɬɨɱɧɨɟ ɞɚɜɥɟɧɢɟ ɞɟɬɨɧɚɰɢɢ |
4 |
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Vɉɪȼɋ |
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Ɋɚɞɢɭɫ ɨɛɥɚɤɚ U |
1 ɦ. |
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ɋɤɨɪɨɫɬɶ ɞɟɬɨɧɚɰɢɢ ' |
J 1 Qɫɬɯ |
ɦ F. |
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ɉɪɨɞɨɥɠɢɬɟɥɶɧɨɫɬɶ ɝɨɪɟɧɢɹ t |
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r |
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7 ā í ɫ. |
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D |
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Ʉɪɢɬɢɱɟɫɤɚɹ ɫɤɨɪɨɫɬɶ ɢɫɬɟɱɟɧɢɹ ɱɟɪɟɡ ɩɪɨɟɦɵ |
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Uɤɪ = |
J Pɞ |
= 918 ɦ ɫ. |
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Uɫɦ J 1 |
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Ɉɛɴɟɦ ɩɪɨɞɭɤɬɨɜ ɫɝɨɪɚɧɢɹ Vɉ 9ɉɪȼɋÂ İ í 9 ɦ . Ɋɚɫɯɨɞ ɢɫɬɟɱɟɧɢɹ ɱɟɪɟɡ ɩɪɨɟɦɵ G 8ɤɪÂ )ɨɛɳ ɦ F
V
ɉɪɨɞɨɥɠɢɬɟɥɶɧɨɫɬɶ ɢɫɬɟɱɟɧɢɹ tɢɫɬ Gɉ ɫ.
ɂɦɩɭɥɶɫ ɧɚ ɢɧɬɟɪɜɚɥɟ ɝɨɪɟɧɢɹ iɞ W ÂǻPɞ ɉɚÂɫ. ɂɦɩɭɥɶɫ ɧɚ ɢɧɬɟɪɜɚɥɟ ɫɠɚɬɢɹ i+ = tɢɫɬ ā ǻPɞ ɤɉɚÂɫ.
73
4.2 ǷȇȘȞȌș ȎȔȇȞȌȔȏȐ ȖȕȗȇȍȇȥȠȏȜ țȇȑșȕȗȕȉ ȉȕȎȋȚȟȔȕȐ ȚȋȇȗȔȕȐ ȉȕȒȔȢ Ȕȇ ȎȇȋȇȔȔȕȓ ȗȇȘȘșȕȦȔȏȏ ȕș ȓȌȘșȇ ȉȎȗȢȉȇ
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Ɍɪɨɬɢɥɨɜɵɣ ɷɤɜɢɜɚɥɟɧɬ ɜɡɪɵɜɚ mɌ |
 9ɉɪȼɋ ȡɫɦ |
Qɫɬɯ |
ɤɝ |
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Ɍ |
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ɝɞɟ QɌ |
ɤȾɠ ɤɝ– ɬɟɩɥɨɬɚ ɜɡɪɵɜɚ ɬɪɨɬɢɥɚ. |
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Rɨɛ |
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ɉɪɢɜɟɞɟɧɧɵɣ ɪɚɞɢɭɫ ɜɡɪɵɜɚ |
mT |
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ɂɡɛɵɬɨɱɧɨɟɞɚɜɥɟɧɢɟɜɨɮɪɨɧɬɟɭɞɚɪɧɨɣɜɨɥɧɵ ǻPɮɪ = P · Pɭɜ = 8 ɤɉɚ |
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P |
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ɝɞɟ |
R |
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ɤɉɚ |
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ɭɜ |
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ɂɦɩɭɥɶɫ ɜɨɡɞɭɲɧɨɣ ɭɞɚɪɧɨɣ ɜɨɥɧɵ iɮ |
Lɡ Â mT ɤɉɚÂɫ |
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ɝɞɟ |
iɡ |
R |
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Ⱦɥɢɬɟɥɶɧɨɫɬɶ ɮɚɡɵ ɫɠɚɬɢɹ ɧɚ ɡɚɞɚɧɧɨɦ ɪɚɫɫɬɨɹɧɢɢ |
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IJ+ |
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ā 6 m |
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ɨɛ |
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ɂɡɛɵɬɨɱɧɨɟ ɞɚɜɥɟɧɢɟ ɨɬɪɚɠɟɧɧɨɣ ɜɨɥɧɵ |
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ǻPɨɬɪ |
 ǻPɮɪ + |
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6 'Pɮɪ |
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'P |
7 P |
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ɮɪ |
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ǵȝȌȔȑȇ ȉȕȎȓȕȍȔȢȜ ȖȕȘȒȌȋȘșȉȏȐ ȉȎȗȢȉȇ ȋȒȦ ȎȋȇȔȏȦ ȏ ȖȌȗȘȕȔȇȒȇ
ɇɚ ɨɫɧɨɜɚɧɢɢ ɩɪɨɜɟɞɟɧɧɵɯ ɪɚɫɱɟɬɨɜ ɩɨɪɚɠɚɸɳɢɯ ɮɚɤɬɨɪɨɜ ɩɪɢ ɞɟ ɮɥɚɝɪɚɰɢɨɧɧɨɦ ɢ ɞɟɬɨɧɚɰɢɨɧɧɨɦ ɜɡɪɵɜɧɨɦ ɝɨɪɟɧɢɢ ɩɚɪɨɜɨɡɞɭɲɧɨɣ ɫɦɟɫɢ ɩɚɪɨɜ ɤɟɪɨɫɢɧɚ ɢ ɜɨɡɞɭɯɚ ɦɨɠɧɨ ɫɞɟɥɚɬɶ ɜɵɜɨɞɵ ɨ ɩɨɫɥɟɞɫɬɜɢɹɯ ɤɨɬɨɪɵɟ ɛɭɞɭɬ ɩɪɢ ɞɚɧɧɨɦ ɜɢɞɟ ɱɪɟɡɜɵɱɚɣɧɨɣ ɫɢɬɭɚɰɢɢ ɜ ɰɟɯɟ ɩɪɨɢɡɜɨɞɫɬɜɟɧɧɨɝɨ ɩɪɟɞɩɪɢɹɬɢɹ
ɉɪɢ ɜɡɪɵɜɟ Ƚȼɋ ɉɥȼɋ ɥɸɛɨɝɨ ɯɚɪɚɤɬɟɪɚ ɜɨɡɧɢɤɚɟɬ ɭɞɚɪɧɚɹ ɜɨɥɧɚ ɢɡ ɛɵɬɨɱɧɨɟ ɞɚɜɥɟɧɢɟ ɜɨ ɮɪɨɧɬɟ ɤɨɬɨɪɨɣ ɜɨɫɩɪɢɧɢɦɚɟɬɫɹ ɱɟɥɨɜɟɤɨɦ ɢ ɨɛɨɪɭɞɨ ɜɚɧɢɟɦ ɤɚɤ ɪɟɡɤɢɣ ɞɢɧɚɦɢɱɟɫɤɢɣ ɭɞɚɪ ɢɥɢ ɬɨɥɱɨɤ ȼ ɪɟɡɭɥɶɬɚɬɟ ɬɚɤɨɝɨ ɞɢɧɚ ɦɢɱɟɫɤɨɝɨ ɜɨɡɞɟɣɫɬɜɢɹ ɱɟɥɨɜɟɤ ɦɨɠɟɬ ɩɨɥɭɱɢɬɶ ɫɟɪɶɟɡɧɵɟ ɬɪɚɜɦɵ ɢ ɭɜɟɱɶɹ ɨɛɨɪɭɞɨɜɚɧɢɟ ɦɨɠɟɬ ɱɚɫɬɢɱɧɨ ɢɥɢ ɩɨɥɧɨɫɬɶɸ ɜɵɣɬɢ ɢɡ ɫɬɪɨɹ ɚ ɩɪɨɢɡɜɨɞ ɫɬɜɟɧɧɨɟ ɩɨɦɟɳɟɧɢɟ – ɦɟɫɬɧɨɟ ɢɥɢ ɩɨɥɧɨɟ ɪɚɡɪɭɲɟɧɢɟ
Ɉɰɟɧɤɚ ɩɨɫɥɟɞɫɬɜɢɣ ɜɡɪɵɜɚ ɞɥɹ ɩɟɪɫɨɧɚɥɚ ɨɛɨɪɭɞɨɜɚɧɢɹ ɢ ɩɪɨɢɡɜɨɞ ɫɬɜɟɧɧɨɝɨ ɡɞɚɧɢɹ ɞɚɟɬɫɹ ɢɫɯɨɞɹ ɢɡ ɡɧɚɱɟɧɢɹ ɢɡɛɵɬɨɱɧɨɝɨ ɞɚɜɥɟɧɢɹ ɜɨ ɮɪɨɧɬɟ ɭɞɚɪɧɨɣ ɜɨɥɧɵ ɬɚɛɥɢɰɵ ɢ ɉɪɢɥɨɠɟɧɢɹ .
74
xɉɪɢ ɞɟɬɨɧɚɰɢɨɧɧɨɦ ɜɡɪɵɜɟ ɩɟɪɫɨɧɚɥ ɩɨɥɭɱɚɟɬ ɤɪɚɣɧɟ ɬɹɠɟɥɵɟ ɩɨ ɪɚɠɟɧɢɹ ɜɨɡɦɨɠɟɧ ɞɚɠɟ ɥɟɬɚɥɶɧɵɣ ɢɫɯɨɞ ɉɪɨɢɡɜɨɞɫɬɜɟɧɧɵɣ ɩɪɨ ɰɟɫɫ ɛɭɞɟɬ ɩɨɥɧɨɫɬɶɸ ɨɫɬɚɧɨɜɥɟɧ ɨɛɨɪɭɞɨɜɚɧɢɟ ɛɭɞɟɬ ɩɨɥɧɨɫɬɶɸ ɜɵɜɟɞɟɧɨ ɢɡ ɫɬɪɨɹ ɛɟɡ ɜɨɡɦɨɠɧɨɫɬɢ ɞɚɥɶɧɟɣɲɟɝɨ ɪɟɦɨɧɬɚ ɢ ɷɤɫɩɥɭ ɚɬɚɰɢɢ ɉɪɨɢɡɜɨɞɫɬɜɟɧɧɨɟ ɩɨɦɟɳɟɧɢɟ ɩɨɧɟɫɟɬ ɫɢɥɶɧɨɟ ɪɚɡɪɭɲɟɧɢɟ ɛɟɡ ɜɨɡɦɨɠɧɨɫɬɢ ɞɚɥɶɧɟɣɲɟɝɨ ɜɨɫɫɬɚɧɨɜɥɟɧɢɹ
xɉɪɢ ɞɟɮɥɚɝɪɚɰɢɨɧɧɨɦ ɜɡɪɵɜɟ ɩɟɪɫɨɧɚɥ ɩɨɥɭɱɢɬ ɥɟɝɤɢɟ ɩɨɪɚɠɟɧɢɹ ɫɜɹɡɚɧɧɵɟ ɫ ɭɲɢɛɚɦɢ ɩɟɪɟɥɨɦɚɦɢ ɢ ɩɨɪɟɡɚɦ ȼɨɡɦɨɠɧɚ ɝɨɫɩɢɬɚɥɢ ɡɚɰɢɹ ɜ ɦɟɞɢɰɢɧɫɤɢɟ ɭɱɪɟɠɞɟɧɢɹ ɞɥɹ ɩɨɫɥɟɞɭɸɳɟɝɨ ɜɨɫɫɬɚɧɨɜɢ ɬɟɥɶɧɨɝɨ ɥɟɱɟɧɢɹ ɉɪɨɢɡɜɨɞɫɬɜɟɧɧɵɣ ɩɪɨɰɟɫɫ ɧɚ ɞɚɧɧɨɦ ɩɪɟɞɩɪɢɹ ɬɢɢ ɨɫɬɚɧɨɜɥɟɧ ɧɟ ɛɭɞɟɬ Ɉɛɨɪɭɞɨɜɚɧɢɟ ɩɨɥɭɱɢɬ ɧɟɡɧɚɱɢɬɟɥɶɧɨɟ ɪɚɡɪɭɲɟɧɢɟ ɤɨɬɨɪɨɟ ɦɨɠɟɬ ɛɵɬɶ ɛɵɫɬɪɨ ɭɫɬɪɚɧɟɧɨ ɜ ɩɪɨɰɟɫɫɟ ɪɟ
ɦɨɧɬɚ ɉɪɨɢɡɜɨɞɫɬɜɟɧɧɨɟ ɩɨɦɟɳɟɧɢɟ ɫɭɳɟɫɬɜɟɧɧɵɯ ɪɚɡɪɭɲɟɧɢɣ ɧɟ ɩɨɧɟɫɟɬ
ȼɚɠɧɨ ɧɟ ɞɨɩɭɫɬɢɬɶ ɩɟɪɟɯɨɞɚ ɞɟɮɥɚɝɪɚɰɢɨɧɧɨɝɨ ɝɨɪɟɧɢɹ ɜ ɞɟɬɨɧɚɰɢɨɧ ɧɵɣ ɜɡɪɵɜ ɬɚɤ ɤɚɤ ɷɬɨ ɦɨɠɟɬ ɩɪɢɜɟɫɬɢ ɤ ɱɟɥɨɜɟɱɟɫɤɢɦ ɠɟɪɬɜɚɦ ɫɪɟɞɢ ɪɚɛɨɬɚ ɸɳɟɝɨ ɩɟɪɫɨɧɚɥɚ ɛɨɥɶɲɢɦ ɦɚɬɟɪɢɚɥɶɧɵɦ ɭɛɵɬɤɚɦ ɞɥɹ ɞɨɧɧɨɝɨ ɩɪɨɦɵɲɥɟɧ ɧɨɝɨ ɩɪɟɞɩɪɢɹɬɢɹ
ǷȇȘȞȌș ȖȗȌȋȕȜȗȇȔȏșȌȒȣȔȢȜ ȑȕȔȘșȗȚȑȝȏȐ
Ɋɚɫɱɟɬ ɩɪɨɜɨɞɢɬɫɹ ɩɪɢ ɫɥɟɞɭɸɳɢɯ ɞɨɩɭɳɟɧɢɹɯ
xɦɟɫɬɨ ɨɛɪɚɡɨɜɚɧɢɹ ɜɨɡɞɭɲɧɨɝɨ ɨɛɥɚɤɚ ɜ ɩɨɦɟɳɟɧɢɢ ɡɚɪɚɧɟɟ ɢɡ ɜɟɫɬɧɨ
xɩɪɢ ɪɚɫɱɟɬɟ ɢɫɩɨɥɶɡɭɟɬɫɹ ɷɦɩɢɪɢɱɟɫɤɚɹ ɮɨɪɦɭɥɚ ɩɨɥɭɱɟɧɧɚɹ ɫ ɢɫ ɩɨɥɶɡɨɜɚɧɢɟɦ ɞɢɚɝɪɚɦɦɵ ɪɚɡɪɭɲɟɧɢɟ ɬɢɩɨɜɨɝɨ ɩɪɨɢɡɜɨɞɫɬɜɟɧɧɨɝɨ ɡɞɚɧɢɹ
xɬɪɟɧɢɟɦ ɜ ɲɚɪɧɢɪɟ ɢ ɪɚɦɟ ɩɪɟɧɟɛɪɟɝɚɟɦ
xɜɪɟɦɹ ɨɛɪɚɡɨɜɚɧɢɹ ɫɩɥɨɲɧɨɝɨ ɩɪɨɟɦɚ ɦɟɧɶɲɟ ɜɪɟɦɟɧɢ ɜɡɪɵɜɧɨɝɨ ɝɨɪɟɧɢɹ
xɪɚɫɱɟɬ ɩɪɨɢɡɜɨɞɢɬɫɹ ɬɨɥɶɤɨ ɩɨ ɞɟɣɫɬɜɢɸ ɢɡɛɵɬɨɱɧɨɝɨ ɞɚɜɥɟɧɢɹ ɫɠɚɬɢɹ
ɉɥɨɳɚɞɶ ɜɫɤɪɵɬɢɹ ɩɪɢ ɞɟɮɥɚɝɪɚɰɢɨɧɧɨɦ ɜɡɪɵɜɟ
4 V a U H 1 U
F = ɧ 
ɫɦ ɦ .
'Pɞɨɩ
ɇɟɞɨɫɬɚɸɳɚɹ ɩɥɨɳɚɞɶ ɜɫɤɪɵɬɢɹ Fɧ ) íFɨɛɳ ɦ . Ɍɨɥɳɢɧɚɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɵɯɤɨɧɫɬɪɭɤɰɢɣ įɩɤ kÂį1 kí Âį ɦ. ɋɪɟɞɧɢɣ ɭɞɟɥɶɧɵɣ ɜɟɫ ɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ
Ȗɩɤ = k J1 G1 k 1 J G = ɤɝ ɦ .
Gɩɤ
75
ɒɢɪɢɧɚ ɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ O |
t 'Pɞɨɩ |
'Pɜɫɤ |
= |
4 Jɩɤ 1 571 |
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= ɦ.
ɉɪɢɧɢɦɚɟɦ ɲɢɪɢɧɭ ɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ O ɦ. ɉɥɨɳɚɞɶ ɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ Fɩɤ E Â O ɦ. Ɇɚɫɫɚ ɨɞɧɨɣ ɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɨɣ ɤɨɧɫɬɪɭɤɰɢɢ Mɩɤ EÂOÂįɩɤÂȖɩɤ ɤɝ.
ª F |
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Ʉɨɥɢɱɟɫɬɜɨ ɤɨɧɫɬɪɭɤɰɢɣ Nɩɤ « |
ɧ |
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1 |
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ɡɞɟɫɶ ɤɜɚɞɪɚɬɧɵɟ ɫɤɨɛɤɢ ɟɫɬɶ ɚɧɬɶɟ ɰɟɥɚɹ ɱɚɫɬɶ ɱɢɫɥɚ ɉɪɢɧɢɦɚɟɦ ɤɨɥɢɱɟɫɬɜɨ ɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ Nɩɤ 7 ɲɬ. ɉɪɢ ɨɛɨɪɭɞɨɜɚɧɢɢ ɩɪɨɢɡɜɨɞɫɬɜɟɧɧɨɝɨ ɩɨɦɟɳɟɧɢɹ ɫɟɦɶɸ ɫɛɪɨɫɨɜɵɦɢ
ɨɬɜɟɪɫɬɢɹɦɢ ɲɢɪɢɧɨɣ ɦ ɢ ɜɵɫɨɬɨɣ ɦ ɢɡɛɵɬɨɱɧɨɟ ɞɚɜɥɟɧɢɟ ɩɪɢ ɞɟ ɮɥɚɝɪɚɰɢɨɧɧɨɦ ɜɡɪɵɜɟ ɧɟ ɩɪɟɜɵɫɢɬ ɞɨɩɭɫɬɢɦɨɝɨ ɡɧɚɱɟɧɢɹ ɜ ɤɉɚ ɩɟɪɫɨɧɚɥ ɧɟ ɩɨɥɭɱɢɬ ɫɭɳɟɫɬɜɟɧɧɵɯ ɩɨɜɪɟɠɞɟɧɢɣ ɚ ɨɛɨɪɭɞɨɜɚɧɢɟ ɢ ɩɨɦɟɳɟɧɢɟ ɧɟ ɩɨ ɥɭɱɢɬɡɧɚɱɢɬɟɥɶɧɵɯɪɚɡɪɭɲɟɧɢɣ ɉɪɨɢɡɜɨɞɫɬɜɟɧɧɵɣɩɪɨɰɟɫɫɦɨɠɟɬɛɵɬɶɩɪɨ ɞɨɥɠɟɧ ɩɨɫɥɟ ɡɚɦɟɧɵ ɢɥɢ ɪɟɦɨɧɬɚ ɚɜɚɪɢɣɧɨɝɨ ɨɛɨɪɭɞɨɜɚɧɢɹ
Ⱦɚɧɧɚɹ ɨɰɟɧɤɚ ɞɚɧɚ ɩɨ ɩɨɪɚɠɚɸɳɟɦɭ ɞɟɣɫɬɜɢɸ ɢɡɛɵɬɨɱɧɨɝɨ ɞɚɜɥɟɧɢɹ ɫɠɚɬɢɹ ɛɟɡ ɭɱɟɬɚ ɞɟɣɫɬɜɢɹ ɞɪɭɝɢɯ ɩɨɪɚɠɚɸɳɢɯ ɮɚɤɬɨɪɨɜ ɜɡɪɵɜɚ ɜ ɬɨɦ ɱɢɫɥɟ ɢ ɤɨɫɜɟɧɧɵɯ
76
ǮǧDZDzȅǾǬǴǯǬ
ȼ ɭɱɟɛɧɨɦ ɩɨɫɨɛɢɢ ɩɪɟɞɫɬɚɜɥɟɧɵ ɨɫɧɨɜɧɵɟ ɩɨɧɹɬɢɹ ɬɟɪɦɨɞɢɧɚɦɢɤɢ ɢɡɥɨɠɟɧɚ ɦɟɬɨɞɢɤɚ ɪɚɫɱɟɬɚ ɩɚɪɚɦɟɬɪɨɜ ɜɡɪɵɜɧɵɯ ɜɨɥɧ ɩɪɢ ɧɟɩɪɟɞɧɚɦɟɪɟɧ ɧɵɯ ɩɪɨɦɵɲɥɟɧɧɵɯ ɜɡɪɵɜɚɯ ɝɚɡɨ ɩɚɪɨ ɢ ɩɵɥɟɜɨɡɞɭɲɧɵɯ ɫɦɟɫɟɣ ɢɡɥɨɠɟɧɚ ɦɟɬɨɞɢɤɚ ɪɚɫɱɟɬɚɩɪɟɞɨɯɪɚɧɢɬɟɥɶɧɵɯ ɤɨɧɫɬɪɭɤɰɢɣ; ɬɟɪɦɢɧɵ ɩɪɢɜɟɞɟɧɵɩɪɢ ɦɟɪɵ ɪɟɲɟɧɢɹ ɡɚɞɚɱ ɞɚɧɵ ɜɚɪɢɚɧɬɵ ɩɨɞɝɨɬɨɜɤɢ ɤ ɪɭɛɟɠɧɵɦ ɤɨɧɬɪɨɥɹɦ
ɉɨɥɭɱɢɜ ɨɬ ɩɪɟɩɨɞɚɜɚɬɟɥɹ ɜɚɪɢɚɧɬ ɪɭɛɟɠɧɨɝɨ ɤɨɧɬɪɨɥɹ ɫɬɭɞɟɧɬ ɫɚɦɨ ɫɬɨɹɬɟɥɶɧɨ ɞɨɥɠɟɧ ɪɟɲɢɬɶ ɟɝɨ ɜ ɬɟɱɟɧɢɟ ɫɨɨɬɜɟɬɫɬɜɭɸɳɟɝɨ ɦɨɞɭɥɹ ɤɨɧɫɭɥɶ ɬɢɪɭɹɫɶ ɩɪɢ ɧɟɨɛɯɨɞɢɦɨɫɬɢ ɧɚ ɫɟɦɢɧɚɪɫɤɢɯ ɡɚɧɹɬɢɹɯ ɇɚ ɡɚɧɹɬɢɟ ɜɵɞɟɥɟɧ ɧɨɟ ɞɥɹ ɪɭɛɟɠɧɨɝɨ ɤɨɧɬɪɨɥɹ ɫɬɭɞɟɧɬ ɨɛɹɡɚɧ ɩɪɟɞɫɬɚɜɢɬɶ ɫɨɨɬɜɟɬɫɬɜɭɸɳɭɸ ɩɨɹɫɧɢɬɟɥɶɧɭɸɡɚɩɢɫɤɭ ɚɬɚɤɠɟ ɡɚɳɢɬɢɬɶɨɫɧɨɜɧɵɟɩɨɥɨɠɟɧɢɹ ɫɜɨɟɣɪɚɛɨɬɵ
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DzǯǹǬǷǧǹǺǷǧ
1.Ⱦɟɜɢɫɢɥɨɜ ȼ Ⱥ Ⱦɪɨɡɞɨɜɚ Ɍ ɇ ɋɤɭɲɧɢɤɨɜɚ Ⱥ ɂ Ɍɟɨɪɢɹ ɝɨɪɟɧɢɹ ɢ ɜɡɪɵɜɚ ɍɱɟɛɧɢɤ ȼ Ⱥ Ⱦɟɜɢɫɢɥɨɜ Ɍ ɂ Ⱦɪɨɡɞɨɜɚ Ⱥ ɂ ɋɤɭɲɧɢɤɨɜɚ –
Ɇ ɇɂɐ ɂɇɎɊȺ. – Ɇ 7. – ɫȾɟɜɢɫɢɥɨɜ ȼ Ⱥ Ⱦɪɨɡɞɨɜɚ Ɍ ɇ Ɍɢɦɨɮɟɟɜɚ ɋ ɋ Ɍɟɨɪɢɹ ɝɨɪɟɧɢɹ ɢ ɜɡɪɵɜɚ
ɩɪɚɤɬɢɤɭɦ ɭɱɟɛɧɨɟ ɩɨɫɨɛɢɟ ȼ Ⱥ Ⱦɟɜɢɫɢɥɨɜ Ɍ ɂ Ⱦɪɨɡɞɨɜɚ ɋ ɋ Ɍɢɦɨ ɮɟɟɜɚ ɩɨɞ ɨɛɳ ɪɟɞ ȼ Ⱥ Ⱦɟɜɢɫɢɥɨɜɚ – Ɇ ɎɈɊɍɆ 8. – ɫȻɨɛɤɨɜ ɋ Ⱥ Ȼɚɛɭɪɢɧ Ⱥ ȼ Ʉɨɦɪɚɤɨɜ ɉ ȼ ɉɪɢɦɟɪɵ ɢ ɡɚɞɚɱɢ ɩɨ ɤɭɪɫɭ
©Ɏɢɡɢɤɨ ɯɢɦɢɱɟɫɤɢɟ ɨɫɧɨɜɵ ɪɚɡɜɢɬɢɹ ɢ ɬɭɲɟɧɢɹ ɩɨɠɚɪɚª ɍɱɟɛɧ ɩɨɫɨ ɛɢɟ – Ɇ Ⱥɤɚɞɟɦɢɹ Ƚɉɋ Ɇɑɋ Ɋɨɫɫɢɢ – ɫ
4.ȿɮɢɦɨɜ ȼ Ɏ Ɋɹɛɢɤɨɜ Ⱥ Ⱥ Ɍɢɬɨɪɟɧɤɨ Ʌ ɉ ɑɟɛɵɤɢɧ Ⱥ Ⱦ Ɂɚɳɢɬɚɜɱɪɟɡ ɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ ɢ ɝɪɚɠɞɚɧɫɤɚɹ ɨɛɨɪɨɧɚ ɜ ɱ – Ɇ ɂɡɞ ɜɨ ɈɈɈ ©Ɍɨɪɢ ɭɫ 77ª ɝ
5.ȺɧɞɪɨɫɨɜȺ ɋ Ȼɟɝɢɲɟɜɂ Ɋ ɋɚɥɟɟɜȿ ɉ Ɍɟɨɪɢɹɝɨɪɟɧɢɹɢɜɡɪɵɜɚ – Ɇ Ⱥɤɚɞɟɦɢɹ Ƚɉɋ Ɇɑɋ Ɋɨɫɫɢɢ – ɫ
6.Ⱥɧɞɪɨɫɨɜ Ⱥ ɋ ɋɚɥɟɟɜ ȿ ɉ ɉɪɢɦɟɪɵ ɢ ɡɚɞɚɱɢ ɩɨ ɤɭɪɫɭ ©Ɍɟɨɪɢɹ ɝɨɪɟɧɢɹ ɢ ɜɡɪɵɜɚª. – Ɇ Ⱥɤɚɞɟɦɢɹ Ƚɉɋ Ɇɑɋ Ɋɨɫɫɢɢ – ɫ
7.Ȼɟɤɧɟɜ ȼ ɋ ȿɩɢɮɚɧɨɜ ȼ Ɇ Ʌɟɨɧɬɶɟɜ Ⱥ ɂ ɢ ɞɪ Ƚɚɡɨɜɚɹ ɞɢɧɚɦɢɤɚ Ɇɟ
ɯɚɧɢɤɚ ɠɢɞɤɨɫɬɢ ɢ ɝɚɡɚ ɍɱɟɛɧɢɤ ɞɥɹ ɜɭɡɨɜ ɨɛɳ ɪɟɞ Ʌɟɨɧɬɶɟɜ Ⱥ ɂɟ ɢɡɞ ɩɟɪɟɪɚɛ ɢɞɨɩ Ɇ ɂɡɞ ɜɨɆȽɌɍɢɦ ɇ ɗ Ȼɚɭɦɚɧɚ – 667 ɫ
8.ɂɫɚɟɜɋ ɂ Ʉɨɠɢɧɨɜɂ Ⱥ Ʉɨɮɚɧɨɜȼ ɂ ɢɞɪ Ɍɟɨɪɢɹɬɟɩɥɨɦɚɫɫɨɨɛɦɟɧɚ ɍɱɟɛɧɢɤ ɞɥɹ ɬɟɯɧ ɭɧ ɬɨɜ ɢ ɜɭɡɨɜ ɪɟɞ Ʌɟɨɧɬɶɟɜ Ⱥ ɂ – ɟ ɢɡɞ ɢɫɩɪ ɢ ɞɨɩ Ɇ ɂɡɞ ɜɨ ɆȽɌɍ ɢɦ ɇ ɗ Ȼɚɭɦɚɧɚ . – ɫ
9.Ȼɟɡɨɩɚɫɧɨɫɬɶ Ɋɨɫɫɢɢ ɉɪɚɜɨɜɵɟ ɫɨɰɢɚɥɶɧɨ ɷɤɨɧɨɦɢɱɟɫɤɢɟ ɢ ɧɚɭɱɧɨ ɬɟɯ ɧɢɱɟɫɤɢɟ ɚɫɩɟɤɬɵ >ɧɚɭɤɚ ɢ ɬɟɯɧɨɥɨɝɢɢ ɤɨɦɩɥɟɤɫɧɨɣ ɛɟɡɨɩɚɫɧɨɫɬɢ ɢɫɫɥɟ
ɞɨɜɚɧɢɹɢɪɚɡɪɚɛɨɬɤɢ ɫɜɨɞɧɵɣɬɨɦɩɨɜɵɩɭɫɤɭ ɬɨɦɧɨɣɫɟɪɢɢ©Ȼɟɡɨɩɚɫ ɧɨɫɬɶ Ɋɨɫɫɢɢª@ >Ⱥɛɪɨɫɢɦɨɜ ɇ ȼ Ⱥɝɟɟɜ Ⱥ ɂ Ⱥɤɢɦɨɜ ȼ Ⱥ >ɢ ɞɪ @ – Ɇɨɫɤɜɚ Ɂɧɚɧɢɟ – ɫ
Ⱥɬɥɚɫ ɩɪɢɪɨɞɧɵɯ ɢ ɬɟɯɧɨɝɟɧɧɵɯ ɨɩɚɫɧɨɫɬɟɣ ɢ ɪɢɫɤɨɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭ ɚɰɢɣ ɜ Ɋɨɫɫɢɣɫɤɨɣ Ɏɟɞɟɪɚɰɢɢ Ɇɑɋ Ɋɨɫɫɢɢ ɊȺɇ Ɋɨɫɤɚɪɬɨɝɪɚɮɢɹ ɝɟɨɝɪ ɨɫɧɨɜɚ Ɋɟɞɤɨɥ ɋ Ʉ ɒɨɣɝɭ ɩɪɟɞ ɢ ɞɪ ȼɟɞ ɪɟɞ ɤɚɪɬ ɇ Ȼ Ɍɪɨ ɯɢɧɚ – Ɇ ȾɂɄ – ɫ
11.Ȼɚɣɞɚ ɋ ȿ ɉɪɢɪɨɞɧɵɟ ɬɟɯɧɨɝɟɧɧɵɟ ɢ ɛɢɨɥɨɝɨ ɫɨɰɢɚɥɶɧɵɟ ɤɚɬɚɫɬɪɨɮɵ
ɡɚɤɨɧɨɦɟɪɧɨɫɬɢɜɨɡɧɢɤɧɨɜɟɧɢɹ ɦɨɧɢɬɨɪɢɧɝɢɩɪɨɝɧɨɡɢɪɨɜɚɧɢɟ Ɇ ɎȽȻɍ ȼɇɂɂ ȽɈɑɋ Ɏɐ – ɫ.
78
ǴǵǷdzǧǹǯǩǴȂǬ ǫǵDZǺdzǬǴǹȂ
1. Ɏɟɞɟɪɚɥɶɧɵɣ ɡɚɤɨɧ ©Ɉ ɡɚɳɢɬɟ ɧɚɫɟɥɟɧɢɹ ɢ ɬɟɪɪɢɬɨɪɢɣ ɨɬ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɣ ɩɪɢɪɨɞɧɨɝɨ ɢ ɬɟɯɧɨɝɟɧɧɨɝɨ ɯɚɪɚɤɬɟɪɚª ɨɬ ʋ ɎɁɎɟɞɟɪɚɥɶɧɵɣ ɡɚɤɨɧ ©Ɉ ɝɪɚɠɞɚɧɫɤɨɣ ɨɛɨɪɨɧɟª ɨɬ ʋ ɎɁɎɟɞɟɪɚɥɶɧɵɣ ɡɚɤɨɧ ©Ɉ ɩɨɠɚɪɧɨɣ ɛɟɡɨɩɚɫɧɨɫɬɢª ɨɬ ʋ ɎɁ
4.Ɏɟɞɟɪɚɥɶɧɵɣ Ɂɚɤɨɧ ɊɎ ɨɬ ɝ ʋ ɎɁ ©Ɍɟɯɧɢɱɟɫɤɢɣ ɪɟɝɥɚɦɟɧɬ ɨ ɬɪɟɛɨɜɚɧɢɹɯ ɩɨɠɚɪɧɨɣ ɛɟɡɨɩɚɫɧɨɫɬɢª
5.ȽɈɋɌ ɉɨɠɚɪɧɚɹ ɛɟɡɨɩɚɫɧɨɫɬɶ Ɉɛɳɢɟ ɬɪɟɛɨɜɚɧɢɹ
6.ȽɈɋɌ ɋɋȻɌ ɉɨɠɚɪɧɚɹɛɟɡɨɩɚɫɧɨɫɬɶ Ɍɟɪɦɢɧɵɢɨɩɪɟɞɟɥɟɧɢɹ
7.ȽɈɋɌ ɉɨɠɚɪɨɜɡɪɵɜɨɛɟɡɨɩɚɫɧɨɫɬɶ ɜɟɳɟɫɬɜ ɢ ɦɚɬɟɪɢɚɥɨɜ ɇɨ ɦɟɧɤɥɚɬɭɪɚ ɩɨɤɚɡɚɬɟɥɟɣ ɢ ɦɟɬɨɞɵ ɢɯ ɨɩɪɟɞɟɥɟɧɢɹ
8.ȽɈɋɌ Ɋ ɋɋȻɌ ɉɨɠɚɪɧɚɹ ɛɟɡɨɩɚɫɧɨɫɬɶ ɬɟɯɧɨɥɨɝɢɱɟɫɤɢɯ ɩɪɨ ɰɟɫɫɨɜ Ɉɛɳɢɟ ɬɪɟɛɨɜɚɧɢɹ Ɇɟɬɨɞɵ ɤɨɧɬɪɨɥɹ
9.ȽɈɋɌ ȽɈɋɌ Ɋ ɉɪɢɪɨɞɧɵɟ ɱɪɟɡɜɵɱɚɣɧɵɟ ɫɢɬɭɚɰɢɢ Ɍɟɪɦɢɧɵ ɢ ɨɩɪɟɞɟɥɟɧɢɹ
ȽɈɋɌ ȽɈɋɌ Ɋ Ɍɟɯɧɨɝɟɧɧɵɟ ɱɪɟɡɜɵɱɚɣɧɵɟ ɫɢɬɭɚ ɰɢɢ Ɍɟɪɦɢɧɵ ɢ ɨɩɪɟɞɟɥɟɧɢɹ
11. ȽɈɋɌ ȽɈɋɌ Ɋ ɂɫɬɨɱɧɢɤɢ ɬɟɯɧɨɝɟɧɧɵɯ ɱɪɟɡɜɵɱɚɣ ɧɵɯɫɢɬɭɚɰɢɣ Ʉɥɚɫɫɢɮɢɤɚɰɢɹɢɧɨɦɟɧɤɥɚɬɭɪɚɩɨɪɚɠɚɸɳɢɯɮɚɤɬɨɪɨɜɢɢɯ ɩɚɪɚɦɟɬɪɨɜ
ȽɈɋɌ ȽɈɋɌ Ɋ Ɍɟɯɧɨɝɟɧɧɵɟ ɚɜɚɪɢɢ ɢ ɤɚɬɚɫɬɪɨɮɵ ɇɨɪɦɢɪɭɟɦɵɟɦɟɬɪɨɥɨɝɢɱɟɫɤɢɟɢɬɨɱɧɨɫɬɧɵɟɯɚɪɚɤɬɟɪɢɫɬɢɤɢɫɪɟɞɫɬɜɤɨɧ ɬɪɨɥɹ ɢ ɢɫɩɵɬɚɧɢɣ ɜ ɫɨɫɬɚɜɟ ɫɥɨɠɧɵɯ ɬɟɯɧɢɱɟɫɤɢɯ ɫɢɫɬɟɦ ɮɨɪɦɵ ɢ ɩɪɨ ɰɟɞɭɪɵ ɢɯ ɦɟɬɪɨɥɨɝɢɱɟɫɤɨɝɨ ɨɛɫɥɭɠɢɜɚɧɢɹ Ɉɫɧɨɜɧɵɟ ɩɨɥɨɠɟɧɢɹ ɢ ɩɪɚ ɜɢɥɚ
ȽɈɋɌɊ Ȼɟɡɨɩɚɫɧɨɫɬɶɜɱɪɟɡɜɵɱɚɣɧɵɯɫɢɬɭɚɰɢɹɯ Ɉɫɧɨɜɧɵɟɩɨ ɥɨɠɟɧɢɹ
14.ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ ɂɫɬɨɱɧɢɤɢ ɩɪɢɪɨɞɧɵɯ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɣ ɉɨɪɚɠɚɸɳɢɟ ɮɚɤɬɨɪɵ ɇɨɦɟɧɤɥɚ ɬɭɪɚ ɩɨɪɚɠɚɸɳɢɯ ɜɨɡɞɟɣɫɬɜɢɣ
15.ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ ɂɫɬɨɱɧɢɤɢ ɬɟɯɧɨɝɟɧɧɵɯ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɣ Ʉɥɚɫɫɢɮɢɤɚɰɢɹ ɢ ɧɨɦɟɧɤɥɚɬɭɪɚ ɩɨ ɪɚɠɚɸɳɢɯ ɮɚɤɬɨɪɨɜ
16.ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ Ɍɟɯɧɨɝɟɧɧɵɟ ɱɪɟɡɜɵɱɚɣɧɵɟ ɫɢɬɭɚɰɢɢ ȼɡɪɵɜɵ Ɍɟɪɦɢɧɵ ɢ ɨɩɪɟɞɟɥɟɧɢɹ
17.ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ ɉɪɟɞɭɩɪɟ ɠɞɟɧɢɟ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɣ Ɍɟɪɦɢɧɵ ɢ ɨɩɪɟɞɟɥɟɧɢɹ
18.ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ Ɇɨɧɢɬɨɪɢɧɝ ɢ ɩɪɨɝɧɨɡɢɪɨɜɚɧɢɟ Ɉɫɧɨɜɧɵɟ ɩɨɥɨɠɟɧɢɹ
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19. ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ Ɇɨɧɢɬɨɪɢɧɝ ɢ ɩɪɨɝɧɨɡɢɪɨɜɚɧɢɟ Ɍɟɪɦɢɧɵ ɢ ɨɩɪɟɞɟɥɟɧɢɹ
ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ Ɇɨɧɢɬɨɪɢɧɝ ɢ ɩɪɨɝɧɨɡɢɪɨɜɚɧɢɟ ɨɩɚɫɧɵɯ ɝɟɨɥɨɝɢɱɟɫɤɢɯ ɹɜɥɟɧɢɣ ɢ ɩɪɨɰɟɫɫɨɜ
ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ Ɇɨɧɢɬɨ ɪɢɧɝ ɯɢɦɢɱɟɫɤɢ ɨɩɚɫɧɵɯ ɨɛɴɟɤɬɨɜ Ɉɛɳɢɟ ɬɪɟɛɨɜɚɧɢɹ
ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ ɋɬɪɭɤɬɭ ɪɢɪɨɜɚɧɧɚɹ ɫɢɫɬɟɦɚ ɦɨɧɢɬɨɪɢɧɝɚ ɢ ɭɩɪɚɜɥɟɧɢɹ ɢɧɠɟɧɟɪɧɵɦɢ ɫɢɫɬɟɦɚɦɢ ɡɞɚɧɢɣ ɢ ɫɨɨɪɭɠɟɧɢɣ Ɉɛɳɢɟ ɬɪɟɛɨɜɚɧɢɹ
ȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ ɉɚɫɩɨɪɬ ɛɟɡ ɨɩɚɫɧɨɫɬɢ ɚɞɦɢɧɢɫɬɪɚɬɢɜɧɨ ɬɟɪɪɢɬɨɪɢɚɥɶɧɵɯ ɟɞɢɧɢɰ Ɉɛɳɢɟ ɩɨɥɨɠɟɧɢɹȽɈɋɌ Ɋ Ȼɟɡɨɩɚɫɧɨɫɬɶ ɜ ɱɪɟɡɜɵɱɚɣɧɵɯ ɫɢɬɭɚɰɢɹɯ Ⱥɜɚɪɢɣɧɨ ɫɩɚɫɚɬɟɥɶɧɵɟ ɪɚɛɨɬɵ ɩɪɢ ɥɢɤɜɢɞɚɰɢɢ ɩɨɫɥɟɞɫɬɜɢɣ ɚɜɚɪɢɣ ɧɚ ɯɢɦɢɱɟɫɤɢ
ɨɩɚɫɧɵɯ ɨɛɴɟɤɬɚɯ Ɉɛɳɢɟ ɬɪɟɛɨɜɚɧɢɹȽɈɋɌ Ɋ ɆɗɄ 4 Ɇɟɬɨɞ ɨɩɪɟɞɟɥɟɧɢɹ ɬɟɦɩɟɪɚɬɭɪɵ
ɫɚɦɨɜɨɫɩɥɚɦɟɧɟɧɢɹȽɈɋɌ Ɋ ȿɇ 4 Ȼɟɡɨɩɚɫɧɨɫɬɶ ɨɛɨɪɭɞɨɜɚɧɢɹ ɉɪɚɜɢɥɚ ɪɚɡɪɚɛɨɬɤɢ ɢ
ɨɮɨɪɦɥɟɧɢɹ ɫɬɚɧɞɚɪɬɨɜ ɩɨ ɛɟɡɨɩɚɫɧɨɫɬɢȽɈɋɌ ɆɗɄ ɂɫɩɵɬɚɧɢɹ ɧɚ ɩɨɠɚɪɨɨɩɚɫɧɨɫɬɶ Ɇɟ
ɬɨɞɵ ɢɫɩɵɬɚɧɢɣɇɉȻ Ɉɩɪɟɞɟɥɟɧɢɟ ɤɚɬɟɝɨɪɢɣ ɩɨɦɟɳɟɧɢɣ ɡɞɚɧɢɣ ɢ ɧɚɪɭɠɧɵɯ ɭɫɬɚ
ɧɨɜɨɤ ɩɨ ɜɡɪɵɜɨɩɨɠɚɪɧɨɣ ɢ ɩɨɠɚɪɧɨɣ ɨɩɚɫɧɨɫɬɢɋɉ Ɉɩɪɟɞɟɥɟɧɢɟɤɚɬɟɝɨɪɢɣɩɨɦɟɳɟɧɢɣ ɡɞɚɧɢɣɢɧɚɪɭɠɧɵɯ
ɭɫɬɚɧɨɜɨɤ ɩɨ ɜɡɪɵɜɨɩɨɠɚɪɧɨɣ ɢ ɩɨɠɚɪɧɨɣ ɨɩɚɫɧɨɫɬɢɊɭɤɨɜɨɞɫɬɜɨ ɩɨ ɛɟɡɨɩɚɫɧɨɫɬɢ ©Ɇɟɬɨɞɢɤɚ ɨɰɟɧɤɢ ɩɨɫɥɟɞɫɬɜɢɣ ɚɜɚɪɢɣɧɵɯ
ɜɡɪɵɜɨɜ ɬɨɩɥɢɜɧɨ ɜɨɡɞɭɲɧɵɯ ɫɦɟɫɟɣª ɍɬɜɟɪɠɞɟɧɨ ɩɪɢɤɚɡɨɦ Ɏɟɞɟɪɚɥɶ ɧɨɣ ɫɥɭɠɛɵ ɩɨ ɷɤɨɥɨɝɢɱɟɫɤɨɦɭ ɬɟɯɧɨɥɨɝɢɱɟɫɤɨɦɭ ɢ ɚɬɨɦɧɨɦɭ ɧɚɞɡɨɪɭ ɨɬɝ ʋ
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