Số thực. Giá trị tuyệt đối của một số thực- 123docz.net

−99 _; 3 ; 5 ; S . 2. 6ҳS[ӃSWKHRWKӭWӵWӯQKӓÿӃQOӟQ

±±π4

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3. D6 E6 FĈ G6 HĈ

4. D! E– !– 0,34 5

5. –π ± 11; 3

6. 9 5

4; S.

7. 11 1,111...

9= 3=1, 732...

8. [ = [ [= = [= ± .

9. 5

\ \ \

− = − = = 2 10. M= a .

11. Ta có a2 QrQD 5 =2, 2360...<2, 2361. Bài 3. LÀM TRềN SỐ VÀ ƯỚC LƯỢNG KẾT QUẢ

1. –100 3= −173, 205...≈ −170; 50S ô|160.

2. 34,5959...≈ 34,60; 5 | 2,24.

3. D[≈ E\≈1 435 640.

4. D'RG OjVӕSKҫQWUăPQrQWDTX\WUzQDÿӃQKjQJSKҫQPѭӡL a ≈ 39,9.

E'RG OjVӕFKөFQrQWDTX\WUzQEÿӃQKjQJWUăPE|

5. − ≈ − π ≈ ; − ≈

6. | 126 029 000.

7. |FP

8. & S5 S |FP

6 S52 S2 |FP2).

BÀI TẬP CUỐI CHƯƠNG 2

1. 123

12, 3

= 10 ; 12 3

0,12=100 =25; 1 16

3 3

= + = .

2. a) Vì 42 QrQ 16=4; E9u2 QrQ =

c) Vì 12 QrQ 1 1= G9u

3 2 9

5 25

  =

   QrQ 9 3 25 =5. 3. 6ӕY{WӍOj 2 .

4. = ; − 144= −12;

225 =15=5; − 2 =; a2 = a . 5. DĈ EĈ F63KiWELӇXOҥL GĈ

6. [ ± 5[ ±± 5 .

7. | | 3 991 900;

4 061 744 | 4 061 700.

8. &iFK/jPWUzQVӕWUѭӟFNKLWKӵFKLӋQSKpSWtQK

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9. TB 7, 333... 7, 3.

+ + + +

= = ≈

10. 3 000S | 9 400; −200 3 ±ô| – 300.

11. −250 3≈ −433, 01; π 2≈4, 44; 13− 5≈1, 37.

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P P

GP GP

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C. BÀI TẬP

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FP FP

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M C N

Hình 12

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Hình 13

FG +uQK

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8. *ҥFKÿһFQXQJ+uQKOjORҥLJҥFKÿѭӧFOjP EҵQJÿҩWVpWYjÿѭӧFQXQJQJX\rQNKӕLNK{QJ Fy Oӛ UӛQJ 'R NӃW FҩX NKӕL ÿһF Yұ\ QrQ NKӕL JҥFK NKi FӭQJ FKҳF tW WKҩP QѭӟF ÿҧP EҧR NӃWFҩXF{QJWUuQK%iF%DPXӕQOjPYLrQ JҥFK QKѭ WKӃ KӓL FҫQ EDR QKLrX PpW NKӕL ÿҩW VpW"%LӃWNtFKWKѭӟFPӛLYLrQJҥFKOjPP PPPPYjÿӝGmQQӣNK{QJÿiQJNӇ

+uQK

FP FP

FPFP FP FP

a) b) Hình 1

/¢,*,l,–+£1*'s1–ôk36

Bài 1. HÌNH HỘP CHỮ NHẬT – HÌNH LẬP PHƯƠNG

1. a) CD = HG = EF = 5 cm; FG = EH = AD = 4 cm; BF = CG = DH = 3 cm.

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&iFJyFÿӍQK'*yF$'&JyF&'+JyF$'+

2. a) CD = DA = AB = BN = AM = DQ = QM = MN = NP = PQ = 4 cm.

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3. +ӝS TXj Fy GҥQJ KuQK KӝS FKӳ QKұW Yj KuQK OұS SKѭѫQJ NKӕL UXELN FRQ[~F[ҳFFyGҥQJKuQKOұSSKѭѫQJ

5. 7ҩPEuD+uQKEJҩSÿѭӧFWKjQKKuQKKӝSFKӳQKұW

6. 0ӛLFһSVӕVDXÿk\OjNtKLӋXFiFFҥQKJKpSOҥLYӟLQKDXÿӇÿѭӧFKuQK OұSSKѭѫQJ

YjYjYjYjYjYjYj

Bài 2. DIỆN TÍCH XUNG QUANH VÀ THỂ TÍCH CỦA HÌNH HỘP CHỮ NHÂT, HÌNH LẬP PHƯƠNG 1. a) 12 cm3; b) 6 cm3; c) 24 cm3. 2. D7KӇWtFKFӫDFiLEӇ9 FP3).

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K Vchai nước 2000

S = 20 . 40 FP F6ӕFKDL =16FKDL

3. 7KӇWtFKFӫDEӇOj9 ±1

2±1

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4 = WKQJ+ӑFVLQKWӵQrXUDPӝW FiFKVҳS[ӃSKӧSOt

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9 P3 OtW

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= FDQ

7. 0ӝWKӝSFKӭDWӕLÿDÿѭӧFNKӕLOұSSKѭѫQJ FKLDÿѭӧFFzQGѭ

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8. D9 LQ3).

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S1 LQ2);

S2 LQ2);

Bài 3. HÌNH LĂNG TRỤ ĐỨNG TAM GIÁC HÌNH LĂNG TRỤ ĐỨNG TỨ GIÁC

1. – Hình ABC.MNP là KuQKOăQJWUөÿӭQJWDPJLiF.

±&iFÿӍQKOjA, B, C, M, N, P.

±&iFPһWErQOjABNM, ACPM, BCPN.

±&iFFҥQKErQOjAM, BN, CP.

±+DLPһWÿi\OjABC và MNP.

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3. ±9ӁKuQKFKӳQKұWYjWDPJLiFYӟLNtFKWKѭӟFQKѭ+uQK

±*ҩSWKHRÿѭӡQJQpWÿӭWWDÿѭӧFKuQKSKҧLWҥROұS

Hình 1

4. D&KLӅXFDRFӫDKuQKOăQJWUөOjFP E7UrQ WҩP EuD YӁ KuQK WKDQJ Yj KuQKFKӳQKұWQKѭ+uQKUӗLJҩSWKHR FiFQpWÿӭWWDÿѭӧFKuQKFҫQWҥROұS

Hình 2

5 cm

FP FP 8 cm 5 cm 5 cm 5 cm

FP FP

5. D&KLӅXFDRFӫDOăQJWUөOjFP E±7UrQWҩPEuDYӁKuQKFKӳ QKұWYjKDLKuQKWDPJLiFYX{QJ QKѭ+uQK

± *ҩS WKHR ÿѭӡQJ QpW ÿӭW WD ÿѭӧF KuQK OăQJ WUө ÿӭQJ WDP JLiF

6. ±7UrQÿRҥQ'+Yj&*Oҩ\KDLÿLӇP01VDR FKR01NK{QJYX{QJJyFYӟL&*QKѭ+uQK

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Hình 3

Hình 4

Bài 4. DIỆN TÍCH XUNG QUANH VÀ THỂ TÍCH CỦA HÌNH LĂNG TRỤ ĐỨNG TAM GIÁC, LĂNG TRỤ ĐỨNG TỨ GIÁC

1. 7DWKҩ\KDLKuQKOăQJWUөYӯDFҳWOjKDLKuQKOăQJWUөÿӭQJWӭJLiFFyÿi\

OjKuQKWKDQJ7KӇWtFKFӫDKuQKOăQJWUөÿӭQJӣWUrQOj

V1 3

2 FP3).

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2. &iFK

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7KӇKuQKKuQKOăQJWUөÿӭQJWӭJLiF91 P3).

7KӇKuQKKuQKOăQJWUөÿӭQJWDPJLiF92 18

2 P3).

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6. 7KӇWtFKFӫDEӇFi FP3) 7DFyOtW FP3

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− FP

7. 9

± GP3)

8. 7KӇWtFKFӫDPӝWNK~FJӛ P3

NK~FJӛFyWKӇWtFK P3 BÀI TẬP CUỐI CHƯƠNG 3

1. +uQKKӝSFKӳQKұWKuQKOұSSKѭѫQJFy

FҥQKPһWÿӍQKÿѭӡQJFKpRPӛLÿӍQKFyJyF 2. D0һWFKӭDFҥQK()0һW$%)(PһW()*+

E*+ () $% &' FĈRҥQWKҷQJQӕL(*

3. ĈӝGjLWҩWFҧFiFFҥQK FPFP P 9ұ\WKDQKVҳWNK{QJÿӫGjLÿӇOjPNKXQJ

Hình 1

'LӋQWtFKPһWÿi\Oj

P 7KӇWtFKFӫDP{KuQKQJ{LQKj P3 3. D7KӇWtFKFӫDNKӕLJӛ GP3

E&KXYLÿi\ GP 'LӋQWtFK[XQJTXDQK GP)

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4. 7KӇWtFKFӫDKuQKOăQJWUөFyÿi\KuQKWKRLOj

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6 $&%0

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a) b) Hình 1

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6. 7ҩPEuDF

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B. BÀI TẬP MẪU

Bài 1. 7UrQÿѭӡQJWKҷQJ[\Oҩ\ÿLӇP2YӁ FiFWLD2]Yj2WQKѭWURQJ+uQK D7uPFiFJyFNӅYӟLnW2]

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\2X n o – n\2[ o – 60o o. n[2W NӅEYӟLW2X QrQWDFyn

[2W n o –nW2X o – 30o o. E\2Wn NӅYӟLW2Xn QrQWDFy

n n n

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Bài 3.

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+DLJyFV2Q Yjn P2V OjKDLJyFNӅEQrQn V2Q n R±P2V n R±R R

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1. &KR+uQK

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3. 7uPVӕÿRFiFJyFFK˱DEL͇WWURQJ+uQK

4. 7uPJLiWUӏFӫD[WURQJ+uQK +uQK

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