Добавил:

Mmvauma uma.mmva@gmail.com Опубликованный материал нарушает ваши авторские права? Сообщите нам.

Вуз:

Первый московский государственный медицинский университет им. И.М. Сеченова

Предмет:

Государственная Итоговая Аттестация

Файл:

книги / 10 класс. Математика. Диагностическая работа 1. (вар. 0201-0216) 21.05.2013г (с отв)

.PDF

Скачиваний:

Добавлен:

14.07.2020

Размер:

5.22 Mб

Скачать

☆

<<< < Предыдущая 1 2 3 4 5 6 7 8 910 / 1010

Ɇɚɬɟɦɚɬɢɤɚ 10 ɤɥɚɫɫ ȼɚɪɢɚɧɬ ɆȺ

0214-0216 ( ɛɟɡ ɩɪɨɢɡɜɨɞɧɵɯ)

Ɇɚɬɟɦɚɬɢɤɚɤɥɚɫɫ10ȼɚɪɢɚɧɬ ɆȺ

0214-0216 ( ɛɟɡ ɩɪɨɢɡɜɨɞɧɵɯ)

Ɉɫɧɨɜɚɧɢɟ ɩɪɹɦɨɣ ɩɪɢɡɦɵ ABCDA1B1C1D1 — ɪɨɦɛ ABCD ɫ ɭɝɥɨɦ A, ɪɚɜɧɵɦ

log

6x x

2 5 t 2,

120q, ɢ ɫɬɨɪɨɧɨɣ

ɪɚɜɧɨɣ 4. ɇɚɣɞɢɬɟ

ɜɵɫɨɬɭ ɩɪɢɡɦɵ,

ɟɫɥɢ

ɭɝɨɥ ɦɟɠɞɭ

(

)

Ɋɟɲɢɬɟ ɫɢɫɬɟɦɭ ɧɟɪɚɜɟɧɫɬɜ ®

1 x

ɩɥɨɫɤɨɫɬɹɦɢ ADC1 ɢ ABC ɪɚɜɟɧ 60q.

x x

Ɋɟɲɟɧ

ɟ.

Ɋɟɲɟɧ

ɟ.

ɉɨɫɤɨɥɶɤɭ ɩɪɢɡɦɚ ɩɪɹɦɚɹ,

ɬɨ ɛɨɤɨɜɨɟ ɪɟɛɪɨ CC1 ɩɟɪɩɟɧɞɢɤɭɥɹɪɧɨ ɩɥɨɫɤɨɫɬɢ ABC, ɢ

ɩɨɷɬɨɦɭ CC1 — ɜɵɫɨɬɚ ɩɪɢɡɦɵ, CC1 A (ABC). ɉɭɫɬɶ F ɫɟɪɟɞɢɧɚ ɪɟɛɪɚ AD ɬɨɝɞɚ CF

Ɋɟɲɢɦ ɩɟɪɜɨɟ ɧɟɪɚɜɟɧɫɬɜɨ. Ɉɧɨ ɢɦɟɟɬ ɫɦɵɫɥ ɩɪɢ ɭɫɥɨɜɢɹɯ

ɦɟɞɢɚɧɚ ɩɪɚɜɢɥɶɧɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ ACD ɢ, ɡɧɚɱɢɬ, CF ɟɝɨ ɜɵɫɨɬɚ, ɩɪɢɱɺɦ ɋF

2 3.

x ! 0,

° 1

ɉɨɫɤɨɥɶɤɭ CF ɩɪɨɟɤɰɢɹ ɋ1F ɧɚ ɩɥɨɫɤɨɫɬɶ ABC

ɢ CF A AD, ɬɨ C1F A AD ɩɨ ɬɟɨɪɟɦɟ

x z

ɨ ɬɪɺɯ ɩɟɪɩɟɧɞɢɤɭɥɹɪɚɯ. Ɉɬɫɸɞɚ ɫɥɟɞɭɟɬ, ɱɬɨ C1FC ɥɢɧɟɣɧɵɣ ɭɝɨɥ ɞɜɭɝɪɚɧɧɨɝɨ

ɨɬɤɭɞɚ 5 x 1.

6x x

5 ! 0,

ɭɝɥɚ,

ɨɛɪɚɡɨɜɚɧɧɨɝɨ ɩɥɨɫɤɨɫɬɹɦɢ ADC1 ɢ ABC. ɂɡ ɭɫɥɨɜɢɹ

C1FC

60q. ɂɡ

ɩɪɹɦɨɭɝɨɥɶɧɨɝɨ ɬɪɟɭɝɨɥɶɧɢɤɚ C1CF ɧɚɯɨɞɢɦ CC1

ɋFtg60q

2 3

ɉɪɢ x 1ɨɫɧɨɜɚɧɢɟ ɥɨɝɚɪɢɮɦɚ

ɦɟɧɶɲɟ ɟɞɢɧɢɰɵ. ɉɨɥɭɱɚɟɦ

x; x2

5x 6 t 0;

6x x2

5 d 1

x d 3 ɢɥɢ x t 2.

Ɋɟɲɟɧɢɟ ɩɟɪɜɨɝɨ ɧɟɪɚɜɟɧɫɬɜɚ: 5 x d 3 ɢɥɢ 2 d x 1.

Ɋɟɲɢɦ ɜɬɨɪɨɟ ɧɟɪɚɜɟɧɫɬɜɨ.

x 3 x2 d 0;

x2 x 3 t 0.

ɉɪɢ 5

x d 3 ɩɨɥɭɱɚɟɦ

Ɋɟɲɟɧɢɟɦ ɹɜɥɹɟɬɫɹ ɥɸɛɨɟ ɱɢɫɥɨ.

ɉɪɢ 2 d x 1ɩɨɥɭɱɚɟɦ

x 3 x2 d 0; x2 x 3 t 0;

Ɉɬɜɟɬ: 6.

x d 1

13 ɢɥɢ x t

13 .

ɋɨɞɟɪɠɚɧɢɟ ɤɪɢɬɟɪɢɹ

Ȼɚɥɥɵ

ɉɨɫɤɨɥɶɤɭ 2 1

13 1 1

13 , ɧɚɯɨɞɢɦ ɪɟɲɟɧɢɟ ɫɢɫɬɟɦɵ:

Ɉɛɨɫɧɨɜɚɧɧɨ ɩɨɥɭɱɟɧ ɜɟɪɧɵɣ ɨɬɜɟɬ

Ɋɟɲɟɧɢɟ ɫɨɞɟɪɠɢɬ ɨɛɨɫɧɨɜɚɧɧɵɣ ɩɟɪɟɯɨɞ ɤ ɩɥɚɧɢɦɟɬɪɢɱɟɫɤɨɣ ɡɚɞɚɱɟ, ɧɨ

5 x d 3 ɢɥɢ 2 d x d 1

13 .

ɩɨɥɭɱɟɧ ɧɟɜɟɪɧɵɣ ɨɬɜɟɬ ɢɥɢ ɪɟɲɟɧɢɟ ɧɟ ɡɚɤɨɧɱɟɧɨ.

ɂɅɂ

( 5; 3] 2;

13 .

ɉɪɢ ɩɪɚɜɢɥɶɧɨɦ ɨɬɜɟɬɟ ɪɟɲɟɧɢɟ ɧɟɞɨɫɬɚɬɨɱɧɨ ɨɛɨɫɧɨɜɚɧɨ

Ɉɬɜɟɬ,

Ɋɟɲɟɧɢɟ ɧɟ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɧɢ ɨɞɧɨɦɭ ɢɡ ɤɪɢɬɟɪɢɟɜ, ɩɟɪɟɱɢɫɥɟɧɧɵɯ ɜɵɲɟ

Ɇ ɤɫ ɦ ɥɶɧɵ

ɛ ɥɥ

ɋɨɞɟɪɠɚɧɢɟ ɤɪɢɬɟɪɢɹ

Ȼɚɥɥɵ

Ɉɛɨɫɧɨɜɚɧɧɨ ɩɨɥɭɱɟɧ ɜɟɪɧɵɣ ɨɬɜɟɬ

Ɉɛɨɫɧɨɜɚɧɧɨ

ɩɨɥɭɱɟɧɵ

ɜɟɪɧɵɟ

ɨɬɜɟɬɵ

ɨɛɨɢɯ ɧɟɪɚɜɟɧɫɬɜɚɯ

ɫɢɫɬɟɦɵ

ɧɟɪɚɜɟɧɫɬɜ

Ɉɛɨɫɧɨɜɚɧɧɨ

ɩɨɥɭɱɟɧ

ɜɟɪɧɵɣ

ɨɬɜɟɬ

ɨɞɧɨɦ

ɧɟɪɚɜɟɧɫɬɜɟ

ɫɢɫɬɟɦɵ

ɧɟɪɚɜɟɧɫɬɜ

Ɋɟɲɟɧɢɟ ɧɟ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɧɢ ɨɞɧɨɦɭ ɢɡ ɤɪɢɬɟɪɢɟɜ, ɩɟɪɟɱɢɫɥɟɧɧɵɯ ɜɵɲɟ

Ɇ ɤɫ ɦ ɥɶɧɵ ɛ ɥɥ

Ɇɚɬɟɦɚɬɢɤɚ 10 ɤɥɚɫɫ ȼɚɪɢɚɧɬ ɆȺ

0214-0216 ( ɛɟɡ ɩɪɨɢɡɜɨɞɧɵɯ)

Ɇɚɬɟɦɚɬɢɤɚɤɥɚɫɫ10ȼɚɪɢɚɧɬ ɆȺ

0214-0216 ( ɛɟɡ ɩɪɨɢɡɜɨɞɧɵɯ)

Ɍɚɧɝɟɧɫ ɭɝɥɚ C ɬɪɟɭɝɨɥɶɧɢɤɚ ABC

ɪɚɜɟɧ 3 , D — ɨɬɥɢɱɧɚɹ

ɨɬ

A ɬɨɱɤɚ

Ɋɚɫɫɦɨɬɪɟɧɵ

ɜɫɟ

ɋɨɞɟɪɠɚɧɢɟ ɤɪɢɬɟɪɢɹ

ɢ ɩɨɥɭɱɟɧ

Ȼɚɥɥɵ

ɜɨɡɦɨɠɧɵɟ

ɝɟɨɦɟɬɪɢɱɟɫɤɢɟ

ɤɨɧɮɢɝɭɪɚɰɢɢ,

ɩɟɪɟɫɟɱɟɧɢɹ ɨɤɪɭɠɧɨɫɬɟɣ,

ɩɨɫɬɪɨɟɧɧɵɯ

ɧɚ

ɫɬɨɪɨɧɚɯ AB

ɤɚɤ ɧɚ

ɩɪɚɜɢɥɶɧɵɣ ɨɬɜɟɬ

ɞɢɚɦɟɬɪɚɯ. ɂɡɜɟɫɬɧɨ, ɱɬɨ DB : DC

9 : 16. ɇɚɣɞɢɬɟ ɭɝɨɥ A.

Ɋɚɫɫɦɨɬɪɟɧɚ ɯɨɬɹ ɛɵ ɨɞɧɚ ɜɨɡɦɨɠɧɚɹ ɤɨɧɮɢɝɭɪɚɰɢɹ,

ɜ ɤɨɬɨɪɨɣ ɩɨɥɭɱɟɧɨ

Ɋɟɲɟɧ

ɟ.

ɩɨɷɬɨɦɭ ADB

90q.

ɩɪɚɜɢɥɶɧɨɟ ɡɧɚɱɟɧɢɟ ɢɫɤɨɦɨɣ ɜɟɥɢɱɢɧɵ

Ɋɚɫɫɦɨɬɪɟɧɚ

ɯɨɬɹ

ɛɵ

ɨɞɧɚ

ɜɨɡɦɨɠɧɚɹ

ɝɟɨɦɟɬɪɢɱɟɫɤɚɹ

ɤɨɧɮɢɝɭɪɚɰɢɹ,

Ɍɨɱɤɚ D ɥɟɠɢɬ ɧɚ ɨɤɪɭɠɧɨɫɬɢ ɫ ɞɢɚɦɟɬɪɨɦ AB,

Ⱥɧɚɥɨɝɢɱɧɨ

ADC

90q. ɋɥɟɞɨɜɚɬɟɥɶɧɨ, ɬɨɱɤɚ D ɥɟɠɢɬ ɧɚ ɩɪɹɦɨɣ BC.

ɜ ɤɨɬɨɪɨɣ

ɩɨɥɭɱɟɧɨ

ɡɧɚɱɟɧɢɟ

ɢɫɤɨɦɨɣ

ɜɟɥɢɱɢɧɵ,

ɧɟɩɪɚɜɢɥɶɧɨɟ

ɢɡ-ɡɚ

ɚɪɢɮɦɟɬɢɱɟɫɤɨɣ ɨɲɢɛɤɢ

ȼɨɡɦɨɠɧɵ

ɞɜɚ ɫɥɭɱɚɹ:

ɬɨɱɤɚ

ɥɟɠɢɬ

ɥɢɛɨ

ɧɚ

ɨɬɪɟɡɤɟ

BC (ɪɢɫ. 1),

ɥɢɛɨ ɧɚ

Ɋɟɲɟɧɢɟ ɧɟ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɧɢ ɨɞɧɨɦɭ ɢɡ ɤɪɢɬɟɪɢɟɜ, ɩɟɪɟɱɢɫɥɟɧɧɵɯ ɜɵɲɟ

ɩɪɨɞɨɥɠɟɧɢɢ ɨɬɪɟɡɤɚ BC ɡɚ ɬɨɱɤɭ B (ɪɢɫ. 2). Ɍɨɱɤɚ D ɧɟ ɦɨɠɟɬ ɥɟɠɚɬɶ ɧɚ ɩɪɨɞɨɥɠɟɧɢɢ

Ɇ ɤɫ ɦ ɥɶɧɵ

ɛ ɥɥ

ɨɬɪɟɡɤɚ BC ɡɚ ɬɨɱɤɭ C, ɬɚɤ ɤɚɤ. ɭɝɨɥ ACB ɨɫɬɪɵɣ.

ɇɚɣɞɢɬɟ

ɜɫɟ

ɡɧɚɱɟɧɢɹ

ɩɪɢ

ɤɚɠɞɨɦ

ɢɡ

ɤɨɬɨɪɵɯ

ɫɢɫɬɟɦɚ

y 4a(x y)

2a,

ɭɪɚɜɧɟɧɢɣ

° x

ɢɦɟɟɬ ɪɨɜɧɨ ɞɜɚ ɪɟɲɟɧɢɹ.

® x2

8a(x

32a2 18a

Ɋɟɲɟɧ

ɟ.

Ɂɚɩɢɲɟɦ ɭɪɚɜɧɟɧɢɹ ɫɢɫɬɟɦɵ ɜ ɜɢɞɟ

2a)

2a,

° (x 2a) (y

Ɋɢɫ. 1

Ɋɢɫ. 2

(x 4a)2

4a)2

18a.

ɉɨɥɨɠɢɦ DB t 9 , DC

16t. ɂɡ ɩɪɹɦɨɭɝɨɥɶɧɵɯ ɬɪɟɭɝɨɥɶɧɢɤɨɜ ADC ɢ ABD ɧɚɯɨɞɢɦ,

ȿɫɥɢ a 0, ɬɨ ɫɢɫɬɟɦɚ ɧɟ ɢɦɟɟɬ ɪɟɲɟɧɢɣ. ɉɭɫɬɶ a

0. ɋɢɫɬɟɦɚ ɩɪɢɧɢɦɚɟɬ ɜɢɞ

ɱɬɨ

16t

° x

DCtgACB

12t,

144t2 256t2

0 ɫɢɫɬɟɦɚ ɢɦɟɟɬ ɟɞɢɧɫɬɜɟɧɧɨɟ

20t,

ɢ ɟɺ ɪɟɲɟɧɢɟɦ ɹɜɥɹɟɬɫɹ ɩɚɪɚ (0; 0), ɬɨ ɟɫɬɶ ɩɪɢ a

ɪɟɲɟɧɢɟ.

ȼ ɩɟɪɜɨɦ ɫɥɭɱɚɟ BAC

144t2 81t2

15t.

ɉɪɢ a ! 0

ɝɪɚɮɢɤɨɦ

ɤɚɠɞɨɝɨ

ɭɪɚɜɧɟɧɢɹ

ɫɢɫɬɟɦɵ ɹɜɥɹɟɬɫɹ ɨɤɪɭɠɧɨɫɬɶ: ɩɟɪɜɚɹ

90 , ɬɚɤ ɤɚɤ

AB2

AC2

252

BC2.

ɫ ɰɟɧɬɪɨɦ ɜ ɬɨɱɤɟ O1( 2a; 2a) ɢ ɪɚɞɢɭɫɨɦ r1

2a; ɜɬɨɪɚɹ ɫ ɰɟɧɬɪɨɦ ɜ ɬɨɱɤɟ O2(4a; 4a)

ȼɨ ɜɬɨɪɨɦ

ɫɥɭɱɚɟ ɩɨ

ɬɟɨɪɟɦɟ ɫɢɧɭɫɨɜ

sin A

sin C ;

ɬɚɤ

ɤɚɤ tg C

3, ɬɨ

ɢ ɪɚɞɢɭɫɨɦ r2

2a. Ɂɚɦɟɬɢɦ, ɱɬɨ ɫɢɫɬɟɦɚ ɢɦɟɟɬ ɪɨɜɧɨ ɞɜɚ ɪɟɲɟɧɢɹ ɬɨɝɞɚ ɢ ɬɨɥɶɤɨ

ɬɨɝɞɚ, ɤɨɝɞɚ ɨɤɪɭɠɧɨɫɬɢ ɢɦɟɸɬ ɪɨɜɧɨ ɞɜɟ ɨɛɳɢɟ ɬɨɱɤɢ.

ɩɨɷɬɨɦɭ sin A

sin C

ɨɬɤɭɞɚ ɧɚɯɨɞɢɦ, ɱɬɨ sin A

7 .

5 ,

15t

Ɉɬɜɟɬ 90q

ɢɥɢ arcsin 7 .

Ɇɚɬɟɦɚɬɢɤɚ 10 ɤɥɚɫɫ ȼɚɪɢɚɧɬ ɆȺ

0214-0216 ( ɛɟɡ ɩɪɨɢɡɜɨɞɧɵɯ)

ɗɬɨ ɜɵɩɨɥɧɹɟɬɫɹ, ɬɨɥɶɤɨ		ɟɫɥɢ r2 r1 O1O2 r1 r2,		ɩɨɫɤɨɥɶɤɭ				2a 3	2a ɩɪɢ
ɥɸɛɵɯ a ! 0. ɂɦɟɟɦ			(4a 2a)2 (4a 2a)2
	O1O2		(4a 2a)2 (4a 2a)2	2a 10.				a 0, 8.
ɉɨɥɭɱɚɟɦ ɧɟɪɚɜɟɧɫɬɜɨ 3 2a			2a 2a 10 3 2a	2a, ɨɬɤɭɞɚ 0, 2				a 0, 8.
Ɉɬɜɟɬ 0, 2 a 0, 8.
	ɋɨɞɟɪɠɚɧɢɟ ɤɪɢɬɟɪɢɹ							Ȼɚɥɥɵ
Ɉɛɨɫɧɨɜɚɧɧɨ ɩɨɥɭɱɟɧ ɩɪɚɜɢɥɶɧɵɣ ɨɬɜɟɬ									4
ɋ ɩɨɦɨɳɶɸ ɜɟɪɧɨɝɨ ɪɚɫɫɭɠɞɟɧɢɹ ɩɨɥɭɱɟɧɨ ɜɟɪɧɨɟ ɦɧɨɠɟɫɬɜɨ, ɢɥɢ
ɨɬɥɢɱɚɸɳɟɟɫɹ ɜɟɪɧɨɝɨ ɝɪɚɧɢɱɧɵɦɢ ɬɨɱɤɚɦɢ. ɋɥɭɱɚɢ =0a					ɢɥɢ <0			ɧɟ	3
ɪɚɫɫɦɨɬɪɟɧɵ ɢɥɢ ɪɚɫɫɦɨɬɪɟɧɵ ɫ ɨɲɢɛɤɨɣ
ɋ ɩɨɦɨɳɶɸ ɜɟɪɧɨɝɨ ɪɚɫɫɭɠɞɟɧɢɹ ɩɨɥɭɱɟɧɨ ɯɨɬɹ ɛɵ ɨɞɧɨ ɧɟɪɚɜɟɧɫɬɜɨ ɢɡ									2
ɞɜɭɯ ɜ ɞɜɨɣɧɨɦ ɧɟɪɚɜɟɧɫɬɜɟ ɨɬɜɟɬɚ									2
ɞɜɭɯ ɜ ɞɜɨɣɧɨɦ ɧɟɪɚɜɟɧɫɬɜɟ ɨɬɜɟɬɚ
ȼɟɪɧɨ	ɩɨɥɭɱɟɧɚ ɯɨɬɹ ɛɵ	ɨɞɧɚ ɝɪɚɧɢɱɧɚɹ ɬɨɱɤɚ ɢɫɤɨɦɨɝɨ ɦɧɨɠɟɫɬɜɚ							1
ɡɧɚɱɟɧɢɣ									1
ɡɧɚɱɟɧɢɣ
Ɋɟɲɟɧɢɟ ɧɟ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɧɢ ɨɞɧɨɦɭ ɢɡ ɤɪɢɬɟɪɢɟɜ, ɩɟɪɟɱɢɫɥɟɧɧɵɯ ɜɵɲɟ									0
				Ɇ ɤɫ ɦ ɥɶɧɵ				ɛ ɥɥ	4
C6	ɋɪɟɞɧɟɟ ɚɪɢɮɦɟɬɢɱɟɫɤɨɟ ɱɟɬɵɪɺɯ ɧɚɬɭɪɚɥɶɧɵɯ ɱɢɫɟɥ ɜ					42	ɪɚɡɚ ɛɨɥɶɲɟ, ɱɟɦ
	ɋɪɟɞɧɟɟ ɚɪɢɮɦɟɬɢɱɟɫɤɨɟ ɱɟɬɵɪɺɯ ɧɚɬɭɪɚɥɶɧɵɯ ɱɢɫɟɥ ɜ						ɪɚɡɚ ɛɨɥɶɲɟ, ɱɟɦ

ɫɪɟɞɧɟɟ ɚɪɢɮɦɟɬɢɱɟɫɤɨɟ ɨɛɪɚɬɧɵɯ ɱɢɫɟɥ. ɇɚɣɞɢɬɟ ɷɬɢ ɧɚɬɭɪɚɥɶɧɵɟ ɱɢɫɥɚ.

Ɋɟɲɟɧ ɟ	.								a d b d c d d. Ɍɨɝɞɚ ac d bd
Ɉɛɨɡɧɚɱɢɦ ɱɢɫɥɚ a, b, c ɢ d. ɉɭɫɬɶ				ɞɥɹ ɨɩɪɟɞɟɥɟɧɧɨɫɬɢ					a d b d c d d. Ɍɨɝɞɚ ac d bd
ɢ ab d cd.
ɋɨɫɬɚɜɢɦ ɪɚɜɟɧɫɬɜɨ ɢ ɩɪɨɜɟɞɟɦ ɩɪɟɨɛɪɚɡɨɜɚɧɢɹ:
		a b	c d		42	1	1	1		1	;
			4	17 4							;
			4	17 4		a	b	c		d

Ɇɚɬɟɦɚɬɢɤɚɤɥɚɫɫ10ȼɚɪɢɚɧɬ ɆȺ

0214-0216 ( ɛɟɡ ɩɪɨɢɡɜɨɞɧɵɯ)

a b c d

bcd

acd abd abc

;

abcd

bcd acd abd abc

(b d)ac (a c)bd

abcd

a b

c d

a b c d

ɉɨɫɤɨɥɶɤɭ a d b ɢ c d d, ɩɨɥɭɱɚɟɦ

abcd d

(b d)bd

(a c)bd

bd,

ɨɬɤɭɞɚ ac d

a b

Ⱥɧɚɥɨɝɢɱɧɨ, ɭɱɢɬɵɜɚɹ, ɱɬɨ a d d

b d c, ɧɚɯɨɞɢɦ

abcd

d)ac

(a c)bd

(b d)cd (a c)cd

cd,

ɨɬɤɭɞɚ ab 3.

a b c d

a b c

ȼɨɡɦɨɠɧɵ ɜɚɪɢɚɧɬɵ:

1) a

1, b

1, c 1.

2) a

1, b

1, c

3) a

1, b

2, c

bcd acd abd abc

ȼ ɫɥɭɱɚɟ a

1ɢɡ ɪɚɜɟɧɫɬɜɚ abcd

ɩɨɥɭɱɚɟɦ

3d 1

a b c d

75d

42 0.

d; 17d2

ɇɚɬɭɪɚɥɶɧɵɯ ɤɨɪɧɟɣ ɧɟɬ.

3 d

ȿɫɥɢ a

1, b

1, c

2, ɬɨ

5d 2

2d; 17d2 37d 42

0. ɇɚɬɭɪɚɥɶɧɵɣ ɤɨɪɟɧɶ

4 d

8d 4

4d; 17d2 d

ȿɫɥɢ a

1, b 2, c

2, ɬɨ

0. ɇɚɬɭɪɚɥɶɧɵɯ ɤɨɪɧɟɣ ɧɟɬ.

Ɉɬɜɟɬ: 1, 1, 2, 3.

5 d

ɋɨɞɟɪɠɚɧɢɟ ɤɪɢɬɟɪɢɹ

Ȼɚɥɥɵ

Ɉɛɨɫɧɨɜɚɧɧɨ ɩɨɥɭɱɟɧ ɩɪɚɜɢɥɶɧɵɣ ɨɬɜɟɬ

Ⱦɨɤɚɡɚɧɨ, ɱɬɨ ɞɜɚ ɧɚɢɦɟɧɶɲɢɯ ɱɢɫɥɚ ɪɚɜɧɵ 1. Ɋɟɲɟɧɢɟ ɧɟ ɡɚɤɨɧɱɟɧɨ

Ⱦɨɤɚɡɚɧɨ, ɱɬɨ ɧɚɢɦɟɧɶɲɟɟ ɱɢɫɥɨ ɪɚɜɧɨ 1, ɢ ɩɨɞɛɨɪɨɦ ɧɚɣɞɟɧɵ ɬɪɢ ɞɪɭɝɢɯ

ɱɢɫɥɚ

Ⱦɨɤɚɡɚɧɨ, ɱɬɨ ɧɚɢɦɟɧɶɲɟɟ ɱɢɫɥɨ ɪɚɜɧɨ 1

Ɋɟɲɟɧɢɟ ɧɟ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɧɢ ɨɞɧɨɦɭ ɢɡ ɤɪɢɬɟɪɢɟɜ, ɩɟɪɟɱɢɫɥɟɧɧɵɯ ɜɵɲɟ

Ɇ ɤɫ ɦ ɥɶɧɵ

ɛ ɥɥ

<<< < Предыдущая 1 2 3 4 5 6 7 8 910 / 1010

Соседние файлы в папке книги

#
14.07.20205.22 Mб3010 класс. Математика. Диагностическая работа 1. (вар. 0201-0216) 21.05.2013г (с отв).PDF
#
14.07.202031.19 Кб131геометрия 10_11 классы.docx