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ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 3 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 1
ɫɣɭɠɫɣɣ ɩɱɠɨɣɝɛɨɣɺ ɢɛɟɛɨɣɤ ɬ ɫɛɢɝɻɫɨɮɭɶɧ ɩɭɝɠɭɩɧ ɠɳɠɨɣɠ. ɛ) ɠɫɠɨɠɬɻɧ ɝɬɠ ɲɦɠɨɶ ɝ ɦɠɝɮɹ ɲɛɬɭɷ, ɪɫɠɩɜɫɛɢɮɠɧ ɣ ɫɛɢɦɩɡɣɧ ɦɠɝɮɹ ɲɛɬɭɷ ɨ
ɛ
ɧɨɩɡɣɭɠɦɣ: 1 ɬɦɮɲɛɤ. ɬɦɣ , ɭɩ 2 ɬɦɮɲɛɤ. ɬɦɣ , ɭɩ . ɫɣ ɫɠɳɠɨɣɤ ɨɠɭ. ɛɢɟɠɦɣɧ ɩɜɠ ɲɛɬɭɣ ɮɫɛɝɨɠɨɣɺ ɨɛ . ɩɦɮɲɛɠɧ ; . ɩɞɟɛ . ɜ) ɭɫɠɢɥɮ ɪɫɣɨɛɟɦɠɡɛɭ ɥɩɫɨɣ ɣ . ɭɝɠɭ: ɛ) ; ɜ) ɣ . C1 ɛ) ɠɳɣɭɠ ɮɫɛɝɨɠɨɣɠ . ɜ) ɛɤɟɣɭɠ ɝɬɠ ɥɩɫɨɣ ɸɭɩɞɩ ɮɫɛɝɨɠɨɣɺ, ɪɫɣɨɛɟɦɠɡɛɴɣɠ ɪɫɩɧɠɡɮɭɥɮ
. cos
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© 2012 ɞ. ɮɜɦɣɥɛɱɣɺ ɝ ɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɢɛɪɫɠɴɠɨɛ
ɩɟɠɫɡɛɨɣɠ ɥɫɣɭɠɫɣɺ ɛɦɦɶ ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨɶ ɝɠɫɨɶɠ ɩɭɝɠɭɶ ɝ ɩɜɩɣɰ ɪɮɨɥɭɛɰ 2 ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ ɝ ɪɮɨɥɭɠ ɛ ɣɦɣ ɝ ɪɮɨɥɭɠ ɜ 1 ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 2 ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 3 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 2
ɠɳɠɨɣɠ. ɫɩɝɠɟɻɧ ɣɢ ɭɩɲɥɣ ɪɠɫɪɠɨɟɣɥɮɦɺɫ ɥ , – ɬɠɫɠɟɣɨɛ . ɩɲɥɛ ɺɝɦɺɠɭɬɺ ɬɠɫɠɟɣɨɩɤ ɝɶɬɩɭɶ . ɫɺɧɛɺ ɪɛɫɛɦɦɠɦɷɨɛ ɪɫɺɧɩɤ ɪɠɫɠɬɠɲɠɨɣɺ
ɪɦɩɬɥɩɬɭɠɤ, , . ɦɠɟɩɝɛɭɠɦɷɨɩ, – ɦɣɨɠɤɨɶɤ ɮɞɩɦ ɣɬɥɩɧɩɞɩ ɮɞɦɛ. ɛɤɟɻɧ . ɨɛɲɣɭ, . ɭɝɠɭ: . C2 ɪɫɛɝɣɦɷɨɩɤ ɲɠɭɶɫɻɰɮɞɩɦɷɨɩɤ ɪɣɫɛɧɣɟɠ ɬ ɩɬɨɩɝɛɨɣɠɧ ɭɩɲɥɛ – ɬɠɫɠɟɣɨɛ ɫɠɜɫɛ , ɭɩɲɥɛ – ɬɠɫɠɟɣɨɛ ɫɠɜɫɛ . ɛɤɟɣɭɠ
ɮ
ɞɩɦ ɧɠɡɟɮ ɪɦɩɬɥɩɬɭɺɧɣ ɣ , ɠɬɦɣ , . SABCDABCD
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© 2012 ɞ. ɮɜɦɣɥɛɱɣɺ ɝ ɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɢɛɪɫɠɴɠɨɛ
ɩɟɠɫɡɛɨɣɠ ɥɫɣɭɠɫɣɺ ɛɦɦɶ ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ 2 ɠɳɠɨɣɠ ɬɩɟɠɫɡɣɭ ɩɜɩɬɨɩɝɛɨɨɶɤ ɪɠɫɠɰɩɟ ɥ ɪɦɛɨɣɧɠɭɫɣɲɠɬɥɩɤ ɢɛɟɛɲɠ, ɨɩ ɪɩɦɮɲɠɨ ɨɠɝɠɫɨɶɤ ɩɭɝɠɭ ɣɦɣ ɫɠɳɠɨɣɠ ɨɠ ɢɛɥɩɨɲɠɨɩ 1 ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 2 ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 3 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 3
ɠɳɠɨɣɠ. ɠɳɣɧ ɪɠɫɝɩɠ ɨɠɫɛɝɠɨɬɭɝɩ: . ɠɫɠɨɠɬɻɧ ɝɬɠ ɲɦɠɨɶ ɝ ɪɫɛɝɮɹ ɲɛɬɭɷ ɣ ɮɧɨɩɡɣɧ ɨɛ 4: ɪɩɸɭɩɧɮ . ɩɦɮɲɛɠɧ . ɠɳɠɨɣɠ ɪɠɫɝɩɞɩ ɨɠɫɛɝɠɨɬɭɝɛ: , . ɠɳɣɧ ɝɭɩɫɩɠ ɨɠɫɛɝɠɨɬɭɝɩ. ɛɧɠɨɛ ɟɛɻɭ. ɣɦɣ . ɬɦɣ , ɭɩ . ɬɦɣ , ɭɩ . ɠɳɠɨɣɠɧ ɬɣɬɭɠɧɶ ɬɦɮɡɣɭ ɩɜɴɛɺ ɲɛɬɭɷ ɫɠɳɠɨɣɤ ɟɝɮɰ ɨɠɫɛɝɠɨɬɭɝ. ɩɬɥɩɦɷɥɮ , ɪɩɦɮɲɛɠɧ ɣɦɣ . ɭɝɠɭ: . C3 ɠɳɣɭɠ ɬɣɬɭɠɧɮ ɨɠɫɛɝɠɨɬɭɝ ­®
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ɩɟɠɫɡɛɨɣɠ ɥɫɣɭɠɫɣɺ ɛɦɦɶ ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ 3 ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨɶ ɝɠɫɨɶɠ ɩɭɝɠɭɶ ɝ ɩɜɩɣɰ ɨɠɫɛɝɠɨɬɭɝɛɰ 2 ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ ɝ ɩɟɨɩɧ ɨɠɫɛɝɠɨɬɭɝɠ ɬɣɬɭɠɧɶ ɨɠɫɛɝɠɨɬɭɝ 1 ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 3 ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 3 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 4
ɠɳɠɨɣɠ. ɮɬɭɷ (ɫɣɬ. 1). ɩɦɩɡɣɧ . ɫɠɮɞɩɦɷɨɣɥ ɪɩɟɩɜɠɨ ɭɫɠɮɞɩɦɷɨɣɥɮ ɬ ɥɩɸɯɯɣɱɣɠɨɭɩɧ , ɛ ɭɫɠɮɞɩɦɷɨɣɥ ɪɩɟɩɜɠɨ ɭɫɠɮɞɩɦɷɨɣɥɮ ɬ ɥɩɸɯɯɣɱɣɠɨɭɩɧ , ɪɩɸɭɩɧɮ ɢɨɛɲɣɭ, . ɨɛɦɩɞɣɲɨɩ . C4 ɦɩɴɛɟɷ ɭɫɛɪɠɱɣɣ ɫɛɝɨɛ 560. ɣɛɞɩɨɛɦɣ ɪɠɫɠɬɠɥɛɹɭɬɺ ɝ ɭɩɲɥɠ
; ɩɭɫɠɢɥɣ, ɬɩɠɟɣɨɺɹɴɣɠ ɬɠɫɠɟɣɨɮ ɩɬɨɩɝɛɨɣɺ ɬ ɝɠɫɳɣɨɛɧɣ ɣ
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ɪɦɩɴɛɟɷ ɭɫɠɮɞɩɦɷɨɣɥɛ , ɠɬɦɣ ɩɟɨɩ ɣɢ ɩɬɨɩɝɛɨɣɤ ɭɫɛɪɠɱɣɣ
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ɮɬɭɷ – ɝɶɬɩɭɛ ɭɫɛɪɠɱɣɣ. ɩɞɟɛ ɪɦɩɴɛɟɷ ɭɫɛɪɠɱɣɣ h
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ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 3 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 5
ɛ ɭɛɥ ɥɛɥ ɭɫɠɮɞɩɦɷɨɣɥ ɪɩɟɩɜɠɨ ɭɫɠɮɞɩɦɷɨɣɥɮ ɬ ɥɩɸɯɯɣɱɣɠɨɭɩɧ , ɭɩ ɛɬɬɧɩɭɫɣɧ ɬɦɮɲɛɤ, ɥɩɞɟɛ (ɫɣɬ. 2). ɨɛɦɩɞɣɲɨɩ ɪɫɠɟɶɟɮɴɠɧɮ ɪɩɦɮɲɣɧ, ɲɭɩ ɣ . ɦɠɟɩɝɛɭɠɦɷɨɩ,
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ɩɟɠɫɡɛɨɣɠ ɥɫɣɭɠɫɣɺ ɛɦɦɶ ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ 3 ɛɬɬɧɩɭɫɠɨɛ ɰɩɭɺ ɜɶ ɩɟɨɛ ɞɠɩɧɠɭɫɣɲɠɬɥɛɺ ɥɩɨɯɣɞɮɫɛɱɣɺ, ɟɦɺ ɥɩɭɩɫɩɤ ɪɩɦɮɲɠɨɩ ɪɫɛɝɣɦɷɨɩɠ ɢɨɛɲɠɨɣɠ ɣɬɥɩɧɩɤ ɝɠɦɣɲɣɨɶ 2 ɛɬɬɧɩɭɫɠɨɛ ɰɩɭɺ ɜɶ ɩɟɨɛ ɞɠɩɧɠɭɫɣɲɠɬɥɛɺ ɥɩɨɯɣɞɮɫɛɱɣɺ, ɟɦɺ ɥɩɭɩɫɩɤ ɪɩɦɮɲɠɨɩ ɢɨɛɲɠɨɣɠ ɣɬɥɩɧɩɤ ɝɠɦɣɲɣɨɶ, ɨɠɪɫɛɝɣɦɷɨɩɠ ɣɢ-ɢɛ ɛɫɣɯɧɠɭɣɲɠɬɥɩɤ ɩɳɣɜɥɣ 1 ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 3 © 2012 ɞ. ɮɜɦɣɥɛɱɣɺ ɝ ɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɢɛɪɫɠɴɠɨɛ
ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 4 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 1
ɫɣɭɠɫɣɣ ɩɱɠɨɣɝɛɨɣɺ ɢɛɟɛɨɣɤ ɬ ɫɛɢɝɻɫɨɮɭɶɧ ɩɭɝɠɭɩɧ ɛ) ɠɫɠɨɠɬɠɧ ɝɬɠ ɲɦɠɨɶ ɝ ɦɠɝɮɹ ɲɛɬɭɷ, ɪɫɠɩɜɫɛɢɮɠɧ ɣ ɫɛɢɦɩɡɣɧ ɦɠɝɮɹ ɲɛɬɭɷ ɨ
ɛ
ɧɨɩɡɣɭɠɦɣ: 1 ɬɦɮɲɛɤ. ɬɦɣ , ɭɩ . 2 ɬɦɮɲɛɤ. ɬɦɣ , ɭɩ . ɫɣ ɫɠɳɠɨɣɤ ɨɠɭ. ɛɢɟɠɦɣɧ ɩɜɠ ɲɛɬɭɣ ɮɫɛɝɨɠɨɣɺ ɨɛ ɩɦɮɲɛɠɧ ; . ɩɞɟɛ . ɜ) ɭɫɠɢɥɮ ɪɫɣɨɛɟɦɠɡɛɭ ɥɩɫɨɣ ɣ . ɭɝɠɭ: ɛ) ; ɜ) ɣ . C1 ɛ) ɠɳɣɭɠ ɮɫɛɝɨɠɨɣɠ . ɜ) ɛɤɟɣɭɠ ɝɬɠ ɥɩɫɨɣ ɸɭɩɞɩ ɮɫɛɝɨɠɨɣɺ, ɪɫɣɨɛɟɦɠɡɛɴɣɠ ɪɫɩɧɠɡɮɭɥɮ
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ɩɟɠɫɡɛɨɣɠ ɥɫɣɭɠɫɣɺ ɛɦɦɶ ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨɶ ɝɠɫɨɶɠ ɩɭɝɠɭɶ ɝ ɩɜɩɣɰ ɪɮɨɥɭɛɰ 2 ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ ɝ ɪɮɨɥɭɠ ɛ ɣɦɣ ɝ ɪɮɨɥɭɠ ɜ 1 ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 2 ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 4 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 2
ɠɳɠɨɣɠ. ɫɩɝɠɟɻɧ ɣɢ ɭɩɲɥɣ ɪɠɫɪɠɨɟɣɥɮɦɺɫ ɥ , – ɬɠɫɠɟɣɨɛ . ɩɲɥɛ ɺɝɦɺɠɭɬɺ ɬɠɫɠɟɣɨɩɤ ɝɶɬɩɭɶ . ɫɺɧɛɺ ɪɛɫɛɦɦɠɦɷɨɛ ɪɫɺɧɩɤ ɪɠɫɠɬɠɲɠɨɣɺ
ɪɦɩɬɥɩɬɭɠɤ, , . ɦɠɟɩɝɛɭɠɦɷɨɩ, – ɦɣɨɠɤɨɶɤ ɮɞɩɦ ɣɬɥɩɧɩɞɩ ɮɞɦɛ. ɛɤɟɻɧ . ɨɛɲɣɭ, . ɭɝɠɭ: . C2 ɪɫɛɝɣɦɷɨɩɤ ɲɠɭɶɫɻɰɮɞɩɦɷɨɩɤ ɪɣɫɛɧɣɟɠ ɬ ɩɬɨɩɝɛɨɣɠɧ ɭɩɲɥɛ – ɬɠɫɠɟɣɨɛ ɫɠɜɫɛ , ɭɩɲɥɛ – ɬɠɫɠɟɣɨɛ ɫɠɜɫɛ . ɛɤɟɣɭɠ
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ɞɩɦ ɧɠɡɟɮ ɪɦɩɬɥɩɬɭɺɧɣ ɣ , ɠɬɦɣ , . SABCDABCD
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© 2012 ɞ. ɮɜɦɣɥɛɱɣɺ ɝ ɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɢɛɪɫɠɴɠɨɛ
ɩɟɠɫɡɛɨɣɠ ɥɫɣɭɠɫɣɺ ɛɦɦɶ ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ 2 ɠɳɠɨɣɠ ɬɩɟɠɫɡɣɭ ɩɜɩɬɨɩɝɛɨɨɶɤ ɪɠɫɠɰɩɟ ɥ ɪɦɛɨɣɧɠɭɫɣɲɠɬɥɩɤ ɢɛɟɛɲɠ, ɨɩ ɪɩɦɮɲɠɨ ɨɠɝɠɫɨɶɤ ɩɭɝɠɭ ɣɦɣ ɫɠɳɠɨɣɠ ɨɠ ɢɛɥɩɨɲɠɨɩ 1 ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 2 ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 4 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 3
ɠɳɠɨɣɠ. ɠɳɣɧ ɪɠɫɝɩɠ ɨɠɫɛɝɠɨɬɭɝɩ: . ɠɫɠɨɠɬɻɧ ɝɬɠ ɲɦɠɨɶ ɝ ɪɫɛɝɮɹ ɲɛɬɭɷ ɣ ɮɧɨɩɡɣɧ ɨɛ 2: , ɪɩɸɭɩɧɮ . ɩɦɮɲɛɠɧ: . ɠɳɠɨɣɠ ɪɠɫɝɩɞɩ ɨɠɫɛɝɠɨɬɭɝɛ: , . ɠɳɣɧ ɝɭɩɫɩɠ ɨɠɫɛɝɠɨɬɭɝɩ. ɛɧɠɨɛ ɟɛɻɭ. ɣɦɣ . ɬɦɣ , ɭɩ . ɬɦɣ , ɭɩ . ɠɳɠɨɣɠɧ ɬɣɬɭɠɧɶ ɬɦɮɡɣɭ ɩɜɴɛɺ ɲɛɬɭɷ ɫɠɳɠɨɣɤ ɟɝɮɰ ɨɠɫɛɝɠɨɬɭɝ. ɩɬɥɩɦɷɥɮ , ɪɩɦɮɲɛɠɧ: ɣɦɣ . ɭɝɠɭ: . C3 ɠɳɣɭɠ ɬɣɬɭɠɧɮ ɨɠɫɛɝɠɨɬɭɝ ­®
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ɩɟɠɫɡɛɨɣɠ ɥɫɣɭɠɫɣɺ ɛɦɦɶ ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ 3 ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨɶ ɝɠɫɨɶɠ ɩɭɝɠɭɶ ɝ ɩɜɩɣɰ ɨɠɫɛɝɠɨɬɭɝɛɰ 2 ɜɩɬɨɩɝɛɨɨɩ ɪɩɦɮɲɠɨ ɝɠɫɨɶɤ ɩɭɝɠɭ ɝ ɩɟɨɩɧ ɨɠɫɛɝɠɨɬɭɝɠ ɬɣɬɭɠɧɶ ɨɠɫɛɝɠɨɬɭɝ 1 ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 3 ɛɭɠɧɛɭɣɥɛ. 11 ɥɦɛɬɬ. ɛɫɣɛɨɭ 4 ɣɟɠɩɫɛɢɜɩɫ ɨɛ ɬɛɤɭɠ http://statgrad.cde.ru 4
ɠɳɠɨɣɠ. ɮɬɭɷ (ɫɣɬ. 1). ɩɦɩɡɣɧ
. ɫɠɮɞɩɦɷɨɣɥ ɪɩɟɩɜɠɨ ɭɫɠɮɞɩɦɷɨɣɥɮ ɬ ɥɩɸɯɯɣɱɣɠɨɭɩɧ , ɛ ɭɫɠɮɞɩɦɷɨɣɥ ɪɩɟɩɜɠɨ ɭɫɠɮɞɩɦɷɨɣɥɮ ɬ ɥɩɸɯɯɣɱɣɠɨɭɩɧ , ɪɩɸɭɩɧɮ ɢɨɛɲɣɭ, . ɨɛɦɩɞɣɲɨɩ . ɮɬɭɷ – ɝɶɬɩɭɛ ɭɫɛɪɠɱɣɣ. ɩɞɟɛ ɪɦɩɴɛɟɷ ɭɫɛɪɠɱɣɣ C4 ɦɩɴɛɟɷ ɭɫɛɪɠɱɣɣ ɫɛɝɨɛ 240. ɣɛɞɩɨɛɦɣ ɪɠɫɠɬɠɥɛɹɭɬɺ ɝ ɭɩɲɥɠ
; ɩɭɫɠɢɥɣ, ɬɩɠɟɣɨɺɹɴɣɠ ɬɠɫɠɟɣɨɮ ɩɬɨɩɝɛɨɣɺ ɬ ɝɠɫɳɣɨɛɧɣ ɣ
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ɪɦɩɴɛɟɷ ɭɫɠɮɞɩɦɷɨɣɥɛ , ɠɬɦɣ ɩɟɨɩ ɣɢ ɩɬɨɩɝɛɨɣɤ ɭɫɛɪɠɱɣɣ ɝɭɫɩɠ
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ɛ ɭɛɥ ɥɛɥ ɭɫɠɮɞɩɦɷɨɣɥ ɪɩɟɩɜɠɨ ɭɫɠɮɞɩɦɷɨɣɥɮ ɬ ɥɩɸɯɯɣɱɣɠɨɭɩɧ , ɭɩ . ɛɬɬɧɩɭɫɣɧ ɬɦɮɲɛɤ, ɥɩɞɟɛ (ɫɣɬ. 2). ɨɛɦɩɞɣɲɨɩ ɪɫɠɟɶɟɮɴɠɧɮ ɪɩɦɮɲɣɧ, ɲɭɩ ɣ ɦɠɟɩɝɛɭɠɦɷɨɩ, . ɭɝɠɭ: ɣɦɣ . MONAOD
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ɛɬɬɧɩɭɫɠɨɛ ɰɩɭɺ ɜɶ ɩɟɨɛ ɞɠɩɧɠɭɫɣɲɠɬɥɛɺ ɥɩɨɯɣɞɮɫɛɱɣɺ, ɟɦɺ ɥɩɭɩɫɩɤ ɪɩɦɮɲɠɨɩ ɪɫɛɝɣɦɷɨɩɠ ɢɨɛɲɠɨɣɠ ɣɬɥɩɧɩɤ ɝɠɦɣɲɣɨɶ 2
ɛɬɬɧɩɭɫɠɨɛ ɰɩɭɺ ɜɶ ɩɟɨɛ ɞɠɩɧɠɭɫɣɲɠɬɥɛɺ ɥɩɨɯɣɞɮɫɛɱɣɺ, ɟɦɺ ɥɩɭɩɫɩɤ ɪɩɦɮɲɠɨɩ ɢɨɛɲɠɨɣɠ ɣɬɥɩɧɩɤ ɝɠɦɣɲɣɨɶ, ɨɠɪɫɛɝɣɦɷɨɩɠ ɣɢ-ɢɛ ɛɫɣɯɧɠɭɣɲɠɬɥɩɤ ɩɳɣɜɥɣ 1
ɠɳɠɨɣɠ ɨɠ ɬɩɩɭɝɠɭɬɭɝɮɠɭ ɨɣ ɩɟɨɩɧɮ ɣɢ ɥɫɣɭɠɫɣɠɝ, ɪɠɫɠɲɣɬɦɠɨɨɶɰ ɝɶɳɠ 0 ɛɥɬɣɧɛɦɷɨɶɤ ɜɛɦɦ 3 © 2012 ɞ. ɮɜɦɣɥɛɱɣɺ ɝ ɨɭɠɫɨɠɭɠ ɣɦɣ ɪɠɲɛɭɨɶɰ ɣɢɟɛɨɣɺɰ ɜɠɢ ɪɣɬɷɧɠɨɨɩɞɩ ɬɩɞɦɛɬɣɺ ɢɛɪɫɠɴɠɨɛ
Математика. 11 класс. Видеоразбор на сайте http://statgrad.cde.ru © МИОО 2012 г. Публикация в Интернете или печатных изданиях без письменного согласия МИОО запрещена Вариант 3 Ответы к заданиям № задания Ответ № задания Ответ В1. 5 В8 8 В2 6 В9 4 В3. 10 В10 0,375 В4. 930 В11 18 В5. 2 В12 32 В6. 0,6 В13 8 В7 3 В14 -1 Вариант 4 Ответы к заданиям № задания Ответ № задания Ответ В1 2 В8 9 В2 800000 В9 2 В3 30 В10 0,25 В4 790 В11 76 В5 21 В12 45 В6 0,6 В13 14 В7 9 В14 2 
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