Qosimov f. M. Qosimova m. M

9-Mavzu: Miqdorlar va ularni o`lchash


Masala. Biri kvadrat, ikkinchisi to`g`ri to`rtburchak shaklida bo`lgan ikkita dalaning perimetrlari baravar bo`lib, ularning yig`indisi 3 km 200m ga teng. To`g`ri to`rtburchakning bo`yi enidan uch marta katta. Hosil ikkala dalada bir xil bo`lib, birinchi daladan ikkinchi dalaga qaraganda 96 sentner ortiq g`alla olingan. Har ikkala daladan yig`ib olingan g`alla miqdorini aniqlang.
Yechish: Masala shartini ifodalovchi kvadrat hamda to`g`ri to`rtburchak shakllarini beramiz:

Ushbu masala o`z tarkibida ber nechta “ tip” masalalarini mujassamlashtirgan.

Masala yechilishini savol javob tarzida yuritamiz:
1) Kvadrat, yoxud to`g`ri to`rtburchak peremetri qancha?
3 km 200 m : 2= 3200 m :2= 1600 m
2) Kvadrat tomoni necha metr ?
1600 : 4 = 400 (m)
3) To`g`ri to`rtburchak eni va bo`yi yig`indisi necha metr?
1600 : 2 = 800 (m)
4) To`g`ri to`rtburchak eni EF=LK ni bir qism deb qarasak, eni va bo`yi yig`indisi 800 m necha teng qisimlarni tashkil qiladi?
1+3=4(qism)
5) To`g`ri to`rtburchakning eni necha metr?
800 : 4=200(m)
6) To`g`ri to`rtburchakning bo`yi necha metr?
200∙ 3=600(m)
7) To`g`ri to`rtburchakning yuzi qancha?
200∙600=120000(m<sup>2</sup>)=12(ga)
8) kvadrat yuzi qancha?
400∙400=160000 (m<sup>2</sup>) = 16(ga)
9) Kvadrat yuzi to`g`ri to`rtburchak yuzidan qancha ortiq?
16-12=4 (ga)
10) bir gektar yerdan qancha xosil olinadi?
96:4=24(g)
11) To`g`ri to`rtburchak shaklidagi maydondan qancha g`alla olingan?
24∙12=288 (s)
12) Kvadrat shaklidagi maydondan qancha g`alla olingan?
24∙16=384 (s)
Javob: 288 sentner, 384 sentner.
Mustaqil nazorat-ish variantlari

Har bir talaba nazorat ishini bajarishga kirishar ekan, dastlab jadvaldan o’z variantini hamda variantga tegishli 1-9 topshirig’ini topib olmog’i lozim. (Masalan, 15-variantdan 10,16,27,18,3,18,6,3,3 lar mos ravishda 1-,2-,3-,4-,5-,6-,7-,8-,9-mavzulardagi topshiriq nomerlarini bildiradi. Ya’ni 1-mavzudan 10-nomerli topshiriq, 2-mavzudan 16-nomerli topshiriq va hokazo.)

Variant topshiriqlari aniqlangach, metodik tavsiyaga qarab bajarish mumkin.

Variant	Topshiriqlar
	1.	2.	3.	4.	5.	6.	7.	8.	9.
	26	1	3	4	24	4	9	10	12
	27	5	2	5	13	5	10	12	1
	28	4	6	6	11	6	12	13	7
	29	3	4	7	12	7	13	1	10
	30	11	9	8	10	8	1	14	12
	1	15	8	9	4	9	14	5	13
	2	14	12	10	9	10	5	9	1
	3	13	10	11	27	11	9	7	14
	4	2	15	12	29	12	7	15	5
	5	6	14	13	30	13	15	3	9
	6	7	18	14	1	14	3	3	7
	7	8	16	15	29	15	3	2	15
	8	22	21	16	2	16	2	1	3
	9	19	24	17	28	17	1	6	3
	10	16	27	18	3	18	6	8	2
	11	17	20	19	27	19	8	7	1
	12	18	30	20	4	3	7	9	6
	13	28	5	21	26	2	9	1	8
	14	27	4	22	5	6	1	14	7
	15	26	6	23	25	4	14	15	9
	16	30	10	24	7	9	15	12	1
	17	4	8	25	24	8	12	4	14
	18	8	18	26	8	12	4	10	15
	19	6	15	27	23	10	10	6	12
	21	23	12	28	9	15	6	11	4
	20	9	24	29	22	14	11	8	10
	25	5	20	30	10	18	8	10	6
	24	15	16	1	21	16	2	12	11
	22	12	29	2	11	21	6	13	8
	23	24	25	3	20	24	17	1	9
	30	19	24	4	12	27	7.	14	1
	28	14	1	5	19	20	9	5	14
	29	28	30	6	13	30	10	9	15
	27	27	28	7	18	5	12	7	12
	26	17	7	8	14	4	13	15	4
	2	6	11	9	17	6	1	3	10
	5	3	13	10	15	10	14	3	6
	8	1	17	11	16	8	5	2	11
	13	2	19	12	16	18	9	1	8
	14	9	23	13	15	15	7	6	1
	7	29	29	14	17	12	15	8	14
	9	30	1	15	14	24	3	7	5
	26	25	2	16	18	20	3	9	9
	21	26	3	17	13	16	2	1	7
	18	28	4	18	25	29	1	14	15
	27	24	5	19	3	4	6	15	3
	24	13	6	3	2	5	8	12	3
	11	11	7	2	6	6	7	4	2
	10	12	8	6	4	7	9	10	1
	3	10	9	4	9	8	1	6	6
	1	4	10	9	8	9	14	11	8
	3	9	11	8	12	10	15	8	7
	30	27	12	12	10	11	12	10	9
	29	29	13	10	15	12	4	12	1
	27	30	14	15	14	13	10	13	14
	28	1	15	14	18	14	6	1	15
	25	29	16	18	16	15	11	14	12
	6	2	17	16	21	16	8	5	4
	15	28	18	21	24	17	2	9	10
	4	3	19	24	27	18	6	7	6
	9	27	20	27	20	19	17	15	11
	16	4	21	20	30	3	7.	3	8
	23	26	22	30	5	2	9	3	3
	19	5	23	5	4	6	10	2	2
	17	25	24	4	6	4	12	1	1
	18	7	25	6	10	9	13	6	6
	12	24	26	10	8	8	1	8	8
	13	8	27	8	18	12	14	7	7
	15	23	28	18	15	10	5	9	9
	14	9	29	15	12	15	9	1	1
	4	22	30	12	24	14	7	14	14
	5	10	1	24	20	18	15	15	15
	8	21	2	20	16	16	3	12	12
	6	11	3	16	29	21	3	4	4
	30	20	4	29	25	24	2	10	10
	12	12	5	25	24	27	1	6	6
	11	19	6	24	1	20	6	11	11
	10	13	7	1	30	30	8	8	8
	4	18	8	30	28	5	7	10	7
	22	14	9	28	7	4	9	12	9
	8	17	10	7	11	6	1	13	1
	17	15	11	11	13	10	14	1	14
	27	16	12	13	17	8	15	14	15
	29	16	13	17	19	18	12	5	12
	16	15	14	19	23	15	4	9	4
	5	17	15	23	29	12	10	7	10
	14	14	16	29	1	24	6	15	6
	13	18	17	1	2	20	11	3	11
	12	13	18	2	3	16	8	3	8
	18	25	19	3	4	29	2	2	2