Подготовка к ОГЭ по математике "Площади фигур". "Модуль геометрия"

 

ɉɥɨɳɚɞɶɮɢɝɭɪɵ

   

1

 

ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɩɪɹɦɨɭɝɨɥɶɧɢɤɚ, ɟɫɥɢ ɟɝɨ ɩɟɪɢɦɟɬɪ ɪɚɜɟɧ 44 ɢ ɨɞɧɚ ɫɬɨɪɨɧɚɧɚ 2 ɛɨɥɶɲɟɞɪɭɝɨɣ.

  

 

Ɉɬɜɟɬ: ___________________________.

 

   

2

 

ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɩɪɹɦɨɭɝɨɥɶɧɢɤɚ, ɟɫɥɢ ɟɝɨ ɩɟɪɢɦɟɬɪ ɪɚɜɟɧ 54 ɢ ɨɞɧɚ ɫɬɨɪɨɧɚɧɚ 3 ɛɨɥɶɲɟɞɪɭɝɨɣ.

 

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

3

 

ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɩɪɹɦɨɭɝɨɥɶɧɢɤɚ, ɟɫɥɢ ɟɝɨ ɩɟɪɢɦɟɬɪ ɪɚɜɟɧ 58 ɢ ɨɞɧɚ ɫɬɨɪɨɧɚɧɚ 5 ɛɨɥɶɲɟɞɪɭɝɨɣ.

 

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

4

 

ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɩɪɹɦɨɭɝɨɥɶɧɢɤɚ, ɟɫɥɢɟɝɨɩɟɪɢɦɟɬɪɪɚɜɟɧ 92, ɚɨɬɧɨɲɟɧɢɟ ɫɨɫɟɞɧɢɯɫɬɨɪɨɧɪɚɜɧɨ 3:20.

 

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

5

 

ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɩɪɹɦɨɭɝɨɥɶɧɢɤɚ, ɟɫɥɢɟɝɨɩɟɪɢɦɟɬɪɪɚɜɟɧ 60, ɚɨɬɧɨɲɟɧɢɟ ɫɨɫɟɞɧɢɯɫɬɨɪɨɧɪɚɜɧɨ 4:11.

 

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

6

 

ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɩɪɹɦɨɭɝɨɥɶɧɢɤɚ, ɟɫɥɢ ɟɝɨ ɩɟɪɢɦɟɬɪ ɪɚɜɟɧ 102, ɚ ɨɬɧɨɲɟɧɢɟɫɨɫɟɞɧɢɯɫɬɨɪɨɧɪɚɜɧɨ 2:15.

 

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

7

 ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɩɚɪɚɥɥɟɥɨɝɪɚɦɦɚ, ɢɡɨɛɪɚɠɺɧɧɨɝɨɧɚɪɢɫɭɧɤɟ.

 

 

 

Ɉɬɜɟɬ: ___________________________.

8                ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɩɚɪɚɥɥɟɥɨɝɪɚɦɦɚ, ɢɡɨɛɪɚɠɺɧɧɨɝɨɧɚɪɢɫɭɧɤɟ.

 

 

 

Ɉɬɜɟɬ: ___________________________.

 

   

9

 

Ƚɥɭɛɢɧɚ ɛɚɫɫɟɣɧɚ ɫɨɫɬɚɜɥɹɟɬ 2 ɦɟɬɪɚ, ɲɢɪɢɧɚ — 10 ɦɟɬɪɨɜ, ɚ ɞɥɢɧɚ —

25 ɦɟɬɪɨɜ. ɇɚɣɞɢɬɟ ɫɭɦɦɚɪɧɭɸ ɩɥɨɳɚɞɶ ɛɨɤɨɜɵɯ ɫɬɟɧ ɢ ɞɧɚ ɛɚɫɫɟɣɧɚ ɜɤɜɚɞɪɚɬɧɵɯɦɟɬɪɚɯ).

  

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

10

 ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɬɪɚɩɟɰɢɢ, ɢɡɨɛɪɚɠɺɧɧɨɣɧɚɪɢɫɭɧɤɟ.

 

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

11

 ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɬɪɚɩɟɰɢɢ, ɢɡɨɛɪɚɠɺɧɧɨɣɧɚɪɢɫɭɧɤɟ.

 

 

 

Ɉɬɜɟɬ: ___________________________.

12       ɂɡɤɜɚɞɪɚɬɚɜɵɪɟɡɚɥɢɩɪɹɦɨɭɝɨɥɶɧɢɤ (ɫɦ. ɪɢɫɭɧɨɤ). ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɩɨɥɭɱɢɜɲɟɣɫɹɮɢɝɭɪɵ.

                                                                                                                                                                                                                                                   

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

13

 

ɂɡɤɜɚɞɪɚɬɚɜɵɪɟɡɚɥɢɩɪɹɦɨɭɝɨɥɶɧɢɤ (ɫɦ. ɪɢɫɭɧɨɤ). ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɩɨɥɭɱɢɜɲɟɣɫɹɮɢɝɭɪɵ.

 

 

 

Ɉɬɜɟɬ: ___________________________.

14       ɂɡɤɜɚɞɪɚɬɚɜɵɪɟɡɚɥɢɩɪɹɦɨɭɝɨɥɶɧɢɤ (ɫɦ. ɪɢɫɭɧɨɤ). ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɩɨɥɭɱɢɜɲɟɣɫɹɮɢɝɭɪɵ.

 

 

Ɉɬɜɟɬ: ___________________________.

 

   

15

 

ȼ ɬɪɚɩɟɰɢɢ ABCD ɨɫɧɨɜɚɧɢɹ AD ɢ BC ɪɚɜɧɵ 4 ɢ 3 ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ, ɚ ɟɺ ɩɥɨɲɚɞɶɪɚɜɧɚ 84. ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɬɪɚɩɟɰɢɢ BCNM , ɝɞɟ MN – ɫɪɟɞɧɹɹ ɥɢɧɢɹɬɪɚɩɟɰɢɢ ABCD.

                                               

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

16

 

ɉɥɨɳɚɞɶɨɞɧɨɣɤɥɟɬɤɢɪɚɜɧɚ 1. ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɮɢɝɭɪɵ, ɢɡɨɛɪɚɠɺɧɧɨɣɧɚ ɪɢɫɭɧɤɟ.

                                               

 

Ɉɬɜɟɬ: ___________________________.

17  ȼ ɬɪɚɩɟɰɢɢ ABCD ɨɫɧɨɜɚɧɢɹ AD ɢ BC ɪɚɜɧɵ 7 ɢ 1 ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ, ɚ ɟɺ ɩɥɨɲɚɞɶɪɚɜɧɚ 64. ɇɚɣɞɢɬɟ ɩɥɨɳɚɞɶ ɬɪɚɩɟɰɢɢ BCNM , ɝɞɟ MN – ɫɪɟɞɧɹɹ ɥɢɧɢɹɬɪɚɩɟɰɢɢ ABCD.

                                               

 

 

Ɉɬɜɟɬ: ___________________________.

 

 

 

 

18

 

ɉɥɨɳɚɞɶɨɞɧɨɣɤɥɟɬɤɢɪɚɜɧɚ 1. ɇɚɣɞɢɬɟɩɥɨɳɚɞɶɮɢɝɭɪɵ, ɢɡɨɛɪɚɠɺɧɧɨɣɧɚ ɪɢɫɭɧɤɟ.

                                               

 

 

Ɉɬɜɟɬ: ___________________________.