2021 수학의 바이블 연산 중3-1 답지 정답

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전체 글

(1)

연산

중학

3

-

1

(2)

제곱근의 뜻과 성질 p. 09~14

01

00

1

-3, -3

00

2

-;2!;, -;2!;

00

3

-0.1, -0.1

00

4

25, 25, -5

00

5

;1Á6;, ;1Á6;, ;4!;

00

6

0.81, 0.81, 0.9

00

7

7, -7

00

8

0

00

9

8, -8

0

10

1, -1

0

11

×

0

12

6, -6

0

13

;3!;, -;3!;

0

14

;2%;, -;2%;

0

15

0.2, -0.2

0

16

×

0

17

'3

0

18

-'3

0

19

Ñ'3

0

20

Ñ'7

0

21

Ñ'¶15

0

22

Ѿ;5@;

0

23

Ñ'¶0.1

0

24

Ñ'6

0

25

Ѿ;5!;

0

26

Ñ'¶0.19

0

27

Ñ1

0

28

-6

0

29

4

0

30

-5

0

31

3

0

32

Ñ2

0

33

;7$;

0

34

Ñ;5(;

0

35

-0.01

0

36

Ñ0.5

0

37

Ñ'7

0

38

'7

0

39

-9

0

40

9

0

41

¾;3!;

0

42

¾;3!;

0

43

-;8!;

0

44

;8!;

0

45

0.3

0

46

0.3

0

47

15

0

48

10

0

49

-8

0

50

-5

0

51

21

0

52

-23

0

53

;5!;

0

54

;7@;

0

55

-0.03

0

56

-2.5

0

57

17

0

58

13

0

59

-7

0

60

-5

0

61

41

0

62

-19

0

63

-;4%;

0

64

;5@;

0

65

2.9

0

66

-0.07

0

67

3

0

68

-4

0

69

5

0

70

-9

0

71

7

0

72

-8

0

73

;3!;

0

74

-;5@;

0

75

0.1

0

76

-0.6

0

77

×

0

78

×

0

79

×

0

80

0

81

×

0

82

0

83

×

0

84

×

0

85

×

0

86

0

87

18

0

88

-4

0

89

6

0

90

-4

0

91

2

0

92

2

0

93

16

0

94

5

0

95

0

0

96

13

0

97

19

0

98

-2

0

99

-;1Á4;

100

5

101

-1.21

102

-0.1

103

104

105

④ 제곱근의 계산 p. 16~22

02

106

>, 3a

107

<, -3a, 3a

108

>, -3a

109

<, -3a, -3a

110

4a

111

7a

112

-8a

113

-6a

114

-5a

115

-5a

116

5a

117

5a

118

-6a

119

-9a

120

11a

121

10a

122

3a

123

7a

124

3a

125

-4a

126

-4a

127

-8a

128

5a

129

-2a

130

a-1

131

a-2

132

3-a

133

4-a

134

a+4

135

a+2

136

a-5

137

a-3

138

2

139

2

140

2x+2

141

-2x+4

142

-2x+1

143

2x

144

1

145

6

146

2, 5

147

2, 7, 10

148

4

149

5

150

2

151

14

152

10

153

3

154

6

155

11

156

60

157

3

158

2

159

10

160

2

161

5

162

7

163

10, 40

164

<

165

>

166

>

167

<

168

>

169

<

170

>

171

>

172

>

173

<

174

<

175

<

176

>

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<

178

>

179

>

180

>

181

<

182

<

183

>

184

>

185

<

186

>

187

>

188

'¶10, '¶15, 4

189

'8, 3, '¶11

190

-"Ã(-3)Û`, -'5, -¾Ð:Á3¼:

191

'¶0.6, ¾Ð:Á5¤:, "Ã(-4)Û`

192

0.1, ;4!;, ¾;5!;

(3)

빠른 정답

본교재

193

0.4, '¶0.4, ¾;5$;

194

35

195

49

196

5, 6, 7, 8

197

14, 15, 16

198

2, 3, 4

199

4, 5, 6

200

201

202

① 무리수와 실수 p. 24~29

03

203

204

205

206

207

208

209

210

211

-;3Á6;, 'Ä0.09, 7

212

0.123y, -'¶12, ¾;3@;

213

-'3, p-3

214

¾Ð;1¦6;, '5, -'¶0.4

215

4

216

217

×

218

×

219

×

220

×

221

222

×

223

×

224

225

유리수, 무리수

226

'¶1.6, p, '¶10 5

227

228

229

_

230

_

231

_

232

233

234

235

_

236

2-'5

237

-3+'5

238

-5-'¶10, -5+'¶10

239

3+'8

240

-2-'5

241

1-'¶10, 1+'¶10

242

>

243

>

244

<

245

>

246

<

247

>

248

>

249

>

250

<

251

<

252

>

253

<

254

>

255

>

256

<

257

>

258

'¶11<4<2+'6

259

1<5-'¶11<5-'¶10

260

-'2+2<1<3-'2

261

'6+1<'6+'3<'3+3

262

'¶11-1<'¶11+'¶13<4+'¶11

263

1+'7<'5+'7<'5+3

264

A

265

C

266

B

267

E

268

C

269

F

270

B

271

D

272

A

273

274

275

③ 근호를 포함한 식의 곱셈과 나눗셈 p. 31~37

04

276

'¶10

277

'¶14

278

-'¶15

279

'¶42

280

¾;2!;

281

2

282

'¶30

283

-'5

284

6'¶10

285

4'¶15

286

-2'6

287

6'¶21

288

18

289

2

290

12

291

¾;3@;

292

'2

293

-¾;5$;

294

'2

295

-2

296

4'3

297

4

298

-2'3

299

'6

300

'2

301

¾Ð:Á3¼:

302

¾;2!;

303

'8

304

'¶30

305

'¶10

306

¾Ð:Á5Á:

307

'8

308

2'2

309

2'3

310

'3 2

311

'5 4

312

'2 10

313

'¶13 10

314

'¶18

315

'¶20

316

-'¶28

317

-'¶45

318

¾;4#;

319

-¾Ð;2¤5;

320

'3 3

321

-'55

322

3'55

323

4'77

324

2'2

325

- '36

326

4'3

327

3'5

328

'6 2

329

'¶15 3

330

'¶35 5

331

'¶14 7

332

'¶10 2

333

'¶15 5

334

'¶2211

335

'123

336

310 '5

337

'¶21 21

338

2'¶15 9

339

'¶35 7

340

'¶30 15

341

2'¶10 15

342

3'6 8

343

2'¶15

344

3'¶10 2

345

5'6 3

346

11'6

347

-3'2 2

348

'5 10

349

3'¶70 7

350

2'2 3

351

2'6

352

5'3

353

6'¶10

354

4'3 3

355

2'6 3

356

3'5 5

(4)

357

'62

358

'¶30 3

359

2.102

360

2.076

361

2.121

362

2.48

363

2.36

364

2.57

365

14.14

366

44.72

367

141.4

368

0.4472

369

0.1414

370

0.04472

371

372

373

② 근호를 포함한 식의 덧셈과 뺄셈 p. 39~45

05

374

4'2

375

7'3

376

7'5

377

-3'2

378

2'5

379

-5'6

380

3'6 2

381

512 '7

382

6'5

383

-4'2

384

2'3

385

-6'7

386

-2'5

387

'2

388

0

389

-1315'7

390

-'2+5'3

391

-5'5+2'2

392

-4'7-'3

393

12'6-7'5

394

114 -'3 3'72

395

-'312 -'24

396

5'23 -1110 '5

397

-3'2+7'3

398

5'2-5'5

399

-4'7-'3

400

'6-2'¶10

401

4'¶13-'5

402

-'2 4 -'3

403

138 -'3 112'7

404

5'3

405

'5

406

6'2

407

'7

408

5'6

409

-2'3

410

2'2

411

'3

412

3'5

413

-'3 3

414

6'2

415

'6

416

2'3+4'2

417

-5'3

418

-2'5

419

-2'2+3'7

420

4'3-8'6

421

3'5-2'2

422

'2

423

2'3

424

5'2 4

425

-'6+'5

426

3'3+'6

427

'6+'¶15

428

-'¶10-'¶14

429

'¶15-'¶10

430

3'2+2'3

431

5-'¶10

432

2+'5

433

'5-3

434

-'5-'¶11

435

'6+'¶10 2

436

'6-'¶30 3

437

3'77 +2

438

3'55 +2'2

439

'¶142 +'6

440

2 +1

441

3 -;2#;

442

-2

443

-2'¶10

444

'3-'6

445

-'6+5'2

446

8'3-7'2

447

4+9'3

448

10+3'3-'¶10

449

-4+'6

450

5'2+4'3+1

451

'2-5'3 3

452

3'5 5 -2

453

4-9'6 2

454

2'2+2'3

455

'6 3

456

-1

457

2

458

-4

459

-3

460

-1

461

-3

462

-2

463

1

464

1, '3-1

465

3, '¶10-3

466

3, '7-2

467

-2, '2-1

468

-1, 3-'5\

469

-2, 3-2'2

470

471

472

② 다항식의 곱셈 p. 49~55

06

00

1

ab+6a-3b-18

00

2

xy+x+4y+4

00

3

-ax-3x+5a+15

00

4

5ab-10a-6b+12

00

5

6xy-2x+9y-3

00

6

12xy-9x-8y+6

00

7

ax+ay-bx-by

00

8

-2ac+ad+14bc-7bd

00

9

xÛ`-6x+8

0

10

aÛ`+4a-21

0

11

-3aÛ`-a+2

0

12

-4xÛ`+13xy-10yÛ`

0

13

3aÛ`+ab-2bÛ`+a+b

0

14

4xÛ`+xy-x-y-3

0

15

12xÛ`-11xy+2yÛ`+20x-5y

0

16

-16

0

17

13

0

18

-19

0

19

11

0

20

3

0

21

3

0

22

x2+2x+1

0

23

a2+4a+4

0

24

x2+10x+25

0

25

y2+16y+64

0

26

4x2+20x+25

0

27

81a2+18a+1

0

28

9x2+12x+4

0

29

16a2+56a+49

0

30

x2+12xy+36yÛ`

0

31

49a2+14ab+b2

0

32

4x2+36xy+81y2

0

33

25a2+30ab+9b2

0

34

x2-8xy+16y2

0

35

9a2-48ab+64b2

0

36

xÛ`+;2!;xy+;1Á6;yÛ`

0

37

4xÛ`+;7*;xy+;4¢9;yÛ`

0

38

;4(;aÛ`+15ab+25bÛ`

0

39

x2-4x+4

0

40

a2-8a+16

0

41

x2-14x+49

(5)

빠른 정답

본교재 곱셈 공식의 응용 p. 57~62

07

107

3844

108

10609

109

40401

110

9604

111

7569

112

24.01 인수분해 p. 64~71

08

183

2xÛ`-xy

184

x2+12x+36

185

a2-6a+9

186

x2-4

187

aÛ`+6a-7

188

6x2+5x-4

189

5x2-9xy-2y2

190

1, a, a+2b, a(a+2b)

191

2, x+1, xy(x+1)

192

x+3, (x+3)(x-4)

193

a-1, a+1

194

5x-y, x+8y, x(5x-y)

0

44

25a2-10a+1

0

45

4x2-12x+9

0

46

36a2-48a+16

0

47

x2-16xy+64y2

0

48

a2-2ab+b2

0

49

9x2-30xy+25y2

0

50

16a2-72ab+81b2

0

51

x2+6xy+9y2

0

52

4a2+28ab+49b2

0

53

xÛ`-;3!;xy+;3Á6;yÛ`

0

54

9xÛ`-4xy+;9$;yÛ`

0

55

;2!5^;aÛ`-:Á5¤:ab+4bÛ`

0

56

x2-16

0

57

a2-25

0

58

81-x2

0

59

a2-;4!;

0

60

4x2-9

0

61

36a2-1

0

62

49-64a2

0

63

25x2-;1Á6;

0

64

x2-4y2

0

65

9a2-16b2

0

66

a2-49b2

0

67

4x2-64y2

0

68

x2- yÛ` 9

0

69

;1»6;aÛ`-25b2

0

70

81y2-x2

0

71

4bÛ`-36aÛ`

0

72

x2+7x+10

0

73

aÛ`+11a+24

0

74

xÛ`-11x+28

0

75

aÛ`-15a+54

0

76

xÛ`-x-2

0

77

aÛ`+2a-35

0

78

xÛ`+6x-27

0

79

aÛ`-8a-20

0

80

xÛ`+9xy+8yÛ`

0

81

aÛ`+7ab+12bÛ`

0

82

aÛ`-9ab+14bÛ`

0

83

xÛ`-13xy+40yÛ`

0

84

xÛ`-5xy-36yÛ`

0

85

aÛ`-ab-30bÛ`

0

86

xÛ`+;3!;xy-;1Á2;yÛ`

0

87

xÛ`-;1¦5;xy-;1ª5;yÛ`

0

88

12xÛ`+26x+4

0

89

20aÛ`+23a+6

0

90

27xÛ`-21x+2

0

91

14aÛ`-39a+10

0

92

40xÛ`-7x-3

0

93

12aÛ`+10a-8

0

94

10xÛ`-x-21

0

95

24aÛ`+16a-30

0

96

8x2+14xy+3y2

0

97

6aÛ`-26ab+24bÛ`

0

98

10xÛ`-27xy-28yÛ`

0

99

15aÛ`+8ab-12bÛ`

100

-4xÛ`+9xy-5yÛ`

101

-6aÛ`-13ab+8bÛ`

102

-10xÛ`-26xy-12yÛ`

103

12xÛ`+xy-;6!;yÛ`

104

-38

105

8a-5

106

33

113

9991

114

2496

115

3599

116

6384

117

9975

118

15.64

119

399.99

120

3+2'2

121

8+2'¶15

122

8+4'3

123

14+4'6

124

9-4'5

125

5-2'6

126

9-6'2

127

23-6'¶10

128

2

129

3

130

5

131

'2+1

132

'5-'32

133

3-2'2

134

8+213 '3

135

'7-'2

136

2'3+'63

137

2-'3

138

11-2'¶30

139

3-2'2

140

10+3'¶11

141

-5-2'6

142

12

143

8

144

14

145

16

146

28

147

20

148

38

149

44

150

23

151

21

152

6

153

8

154

22

155

24

156

xÛ`+2xy+yÛ`+6x+6y+9

157

xÛ`-4xy+4yÛ`+2x-4y+1

158

aÛ`-2ab+bÛ`+4a-4b+4

159

9xÛ`+6xy+yÛ`-24x-8y+16

160

aÛ`+bÛ`+cÛ`+2ab+2bc+2ac

161

aÛ`+2ab+bÛ`-4

162

4xÛ`-4xy+yÛ`-9

163

9xÛ`-12xy+4yÛ`-1

164

xÛ`+2xy+yÛ`+5x+5y+6

165

aÛ`-10ab+25bÛ`-a+5b-2

166

16xÛ`-8xy+yÛ`+12x-3y-18

167

4

168

1

169

14

170

4

171

14

172

5

173

-2'3

174

-1

175

-6

176

7

177

-10

178

4

179

-2

180

181

-8

182

9

(6)

195

196

197

3x, 3x(x-4y)

198

ab, ab(a+bc)

199

xy, xy(x+y-12)

200

2b, 2b(2aÛ`+a-3b)

201

a-b, (a-b)(a+2b)

202

x+y, (x+y)(x-y+2)

203

x-y, (x-y)(8-a)

204

y-3, (x+1)(y-3)

205

x-y, (a-b)(x-y)

206

x-5y, (x-5y)(3x-2y)

207

(x+1)Û`

208

(a+5)Û`

209

(x+6y)Û`

210

{x+;2!;}Û`

211

(x-2)Û`

212

(x-4)Û`

213

(a-7b)Û`

214

{x-;3!;}Û`

215

(2x+9)Û`

216

(3a+5)Û`

217

(4x+y)Û`

218

(7x-1)Û`

219

(5x-2)Û`

220

(2a-3b)Û`

221

2(x+4)Û`

222

3(x-y)Û`

223

16

224

1

225

25

226

36

227

9

228

4

229

25

230

Ñ4

231

Ñ14

232

Ñ18

233

Ñ20

234

Ñ24

235

Ñ12

236

Ñ40

237

(a+4)(a-4)

238

(x+1)(x-1)

239

(6+x)(6-x)

240

{x+;2!;}{x-;2!;}

241

(4x+5)(4x-5)

242

(7a+2)(7a-2)

243

2(x+3)(x-3)

244

a(a+9)(a-9)

245

(a+2b)(a-2b)

246

(x+8y)(x-8y)

247

{a+;5#;b}{a-;5#;b}

248

(2a+5b)(2a-5b)

249

(7x+4y)(7x-4y)

250

{;2!;x+;3!;y}{;2!;x-;3!;y}

251

4(a+3b)(a-3b)

252

3(4a+b)(4a-b)

253

1, 7

254

-1, -3

255

1, 5

256

-2, -3

257

-1, 2

258

-2, 4

259

3, -7

260

2, -5

261

(x+1)(x+4)

262

(x+2)(x+4)

263

(a-1)(a-2)

264

(x-3)(x-4)

265

(x-2)(x+5)

266

(a-5)(a+7)

267

(x+2)(x-6)

268

(a+3)(a-5)

269

(x+y)(x+5y)

270

(a+b)(a+10b)

271

(x-y)(x-4y)

272

(x-3y)(x-6y)

273

(x-y)(x+3y)

274

(a-b)(a+8b)

275

(x+y)(x-9y)

276

(a+3b)(a-4b)

277

(x+3)(2x+1)

278

(2x-3)(2x+1)

279

(x+1)(3x+2)

280

(2x-3)(3x-1)

281

(a+4)(5a-2)

282

(x-3)(2x+3)

283

(x+y)(3x+2y) 복잡한 식의 인수분해 p. 73~78

09

292

(x-2)Û`

293

294

295

(2x+9y)(2x-9y)

296

297

(x-4y)(x+2y)

298

(a-2)(2a+5)

299

300

(x+4)Û`

301

(x-2y-1)(x-2y-2)

302

9(x-1)(2x+1)

303

(x+y-1)(x+y+6)

304

(x-3y-9)(x-3y+2)

305

(a-b-4)(a-b+3)

306

(3x+2)Û`

307

(2x-5y)2

308

-5x-14

309

3(3x-2y)(7x-5y)

310

(2x+7)(3x-2)

311

(x+y+4)(x+y-4)

312

-3(2x+y)(4x+3y)

313

(x+y+1)(x-y+3)

314

(4x-3)(2x-1)

315

3y(2x+y)

316

-(3x+y)(x+3y)

317

(x+1)(y+1)

318

(x+5)(y+1)

319

(a-1)(b-2)

320

(a-b)(x+2y)

321

(x-y)(xy+3)

322

(x-y)(x+y+1)

323

(x+2y)(x-2y-1)

324

(x+y+2)(x-y+2)

325

(a+b-7)(a-b-7)

326

(x+2y-1)(x-2y-1)

327

(2x+y+2)(2x+y-2)

328

(x+y-3)(x-y+3)

329

(a+b+5)(a-b-5)

330

(x-6y+8z)(x-6y-8z)

331

(x-2)(x-y+1)

332

(x-1)(x+y+3)

333

(x+3)(x+y-4)

334

(x+1)(x-y+3)

335

(x-5)(x-y-2)

336

(x-1)(x+5y+3)

337

(a+b-5)(a+b+3)

338

(x-y-6)(x-y+1)

339

(x-3y+1)(x-3y+2)

340

(x+2y-3)Û`

341

(x-2y+2)Û`

342

(x+3y-1)Û`

343

4900

344

8400

345

9600

346

8200

347

96000

348

1600

349

900

350

10000

351

10000

352

10000

353

2500

354

2

355

3-2'3

356

5-3'5

357

1220

358

10000

359

4'¶10

360

12

284

285

286

(a-3b)(5a-b)

287

(x+2y)(4x-3y)

288

(2x+y)(5x-7y)

289

③, ⑤

290

13

291

x-3

(7)

빠른 정답

본교재 이차방정식과 그 해 p. 80~86

10

366

×

367

×

368

369

370

×

371

372

×

373

374

a+0

375

a+0

376

a+3

377

a+-4

378

a+;2!;

379

a+-2

380

a+4

381

a+7

382

a=3, b=2, c=0

383

a=2, b=-2, c=3

384

a=1, b=-1, c=-12

385

a=2, b=4, c=10

386

a=1, b=-4, c=-5

387

a=3, b=0, c=-4

388

389

×

390

×

391

392

×

393

394

×

395

396

x=-2 또는 x=0

397

x=-1 또는 x=2

398

x=2

399

x=1

400

x=-1

401

-3

402

5

403

-2

404

-1

405

4

406

3

407

-6

408

-1

409

-2

410

7

411

5

412

-9

413

-2

414

x=-2 또는 x=1

415

x=2 또는 x=-3

416

x=0 또는 x=5

417

x=-1 또는 x=1

418

x=;4#; 또는 x=;5@;

419

x=-;3!; 또는 x=-2

420

x=-;2&; 또는 x=;4%;

421

x=0 또는 x=4

422

x=0 또는 x=-3

423

x=0 또는 x=-4

424

x=0 또는 x=;2%;

425

x=0 또는 x=-7

426

x=0 또는 x=2

427

x=0 또는 x=;5#;

428

x=-2 또는 x=2

429

x=-3 또는 x=3

430

x=-6 또는 x=6

431

x=-;4!; 또는 x=;4!;

432

x=-;3@; 또는 x=;3@;

433

x=-7 또는 x=7

434

x=-;5*; 또는 x=;5*;

435

x=1 또는 x=5 이차방정식의 풀이 p. 88~92

11

457

×

458

459

460

461

×

462

×

463

464

465

x=2

466

x=-;3!;

467

x=-3

468

x=5

469

x=-6

470

x=;4!;

471

x=-;2#;

472

x=;5^;

473

1

474

9

475

25

476

5

477

13

478

49

479

4

480

Ñ2

481

Ñ4

482

Ñ6

483

Ñ10

484

Ñ1

485

Ñ4

486

Ñ12

487

x=Ñ'6

488

x=Ñ3

489

x=Ñ3'2

490

x=Ñ5

491

x=Ñ'5

492

x=Ñ'3

493

x=Ñ2

494

x=Ñ;2#;

495

x=4Ñ'¶10

496

x=-5Ñ2'3

497

x=-1Ñ'5 2

498

x=3Ñ'¶11 4

499

x=-7Ñ2'2

500

x=2Ñ'6

501

x=-;3@; 또는 x=;3$;

502

x=-5 또는 x=-1

503

x=-1Ñ'2

504

x=2Ñ'2

505

x=3Ñ2'3

506

x=-4Ñ'7

507

x=5Ñ'¶15

508

x=-7Ñ'¶53

436

x=-4 또는 x=-1

437

x=-2 또는 x=6

438

x=-7 또는 x=3

439

x=3 또는 x=4

440

x=-5 또는 x=2

441

x=3 또는 x=5

442

x=-1 또는 x=-;2!;

443

x=-;2!; 또는 x=5

444

x=-1 또는 x=;3!;

445

x=;2!; 또는 x=;2#;

446

x=-3 또는 x=;3!;

447

x=-;3!; 또는 x=;2#;

448

x=-2 또는 x=;5#;

449

x=-5

450

x=-2

451

x=2

452

x=;2!;

453

x=-;3@;

454

455

4

456

x=-6

361

-4'6

362

8'5

363

-5

364

365

-16'3

(8)

이차방정식 구하기, 활용 p. 101~107

13

601

2x2+14x+24=0

602

x2-5x+6=0

603

-3x2-3x+6=0

604

4x2-1=0

605

3x2-5x-2=0

606

-2x2-x+1=0

607

2xÛ`-12x+18=0

608

3x2+12x+12=0

609

-2x2+16x-32=0

610

;3!;x2+4x+12=0

611

-4x2+4x-1=0

612

9x2+6x+1=0

613

6

614

-15

615

8

616

8

617

12

618

27

619

-1-'2

620

3-'¶10

621

4+'5

622

-8-'7

623

-5+'6

624

1+2'2

625

-2-4'3

626

-4+3'5

627

x2-6x+7=0

628

x2+2x-5=0

629

2x2-8x-2=0

630

5x2+10x-10=0

631

-3x2+18x-3=0

632

-x2-10x+23=0

633

x2=2x+35 ⑵ x=-5 또는 x=7 ⑶ 7

634

8

635

3

636

x+1 ⑵ xÛ`+(x+1)Û`=41 ⑶ x=-5 또는 x=4 ⑷ 4, 5

637

4, 6

638

13, 15

566

2, -1, 3, -23, 0

567

-8, 0

568

49, 2

569

0, 1

570

16, 2

571

0, 1

572

-47, 0

573

k<;4#;

574

k=;4#;

575

k>;4#;

576

k>-4

577

k=-4

578

k<-4

579

k<:ª4°:

580

k<;1Á2;

581

k>-1

582

25

583

3

584

-;1»6;

585

kÉ9

586

k¾-1

587

k¾-;1@2%;

588

kÉ6

589

;1Á2;

590

k¾-;2»0;

591

kÉ-;2%;

592

k<-;4(;

593

k<-:¥4Á:

594

k>;2(;

595

k>2

596

k>;3!;

597

k>-;8&;

598

12

599

600

kÉ17

509

x= Ñ'¶21 2

510

x= -3Ñ'¶17 2

511

x= -7Ñ3'5 2

512

x=-2Ñ'6

513

x=1Ñ'7

514

x=2Ñ'2

515

x=3Ñ'¶11

516

x=-1Ñ'3

517

x=-3Ñ2'2

518

x=-1Ñ'5 4

519

x=-5Ñ'¶174

520

x=;2!;Ñ'¶65 10

521

x=1Ñ2'3 3

522

92

523

-7

524

-4 복잡한 이차방정식의 풀이 p. 94~99

12

525

x=-1Ñ'¶17 2

526

x=7Ñ'¶41 2

527

x=3Ñ'¶29 2

528

x=-1Ñ'7

529

x=2Ñ'2 2

530

x=-7Ñ'¶13 6

531

x=1Ñ'¶33 8

532

x=-5Ñ'¶17 4

533

x=-2Ñ'3

534

x=-1Ñ'¶10

535

x=6Ñ'¶39

536

x=4Ñ'¶11

537

x=-3Ñ'¶11 2

538

x=1Ñ'7 3

539

x=-5Ñ'¶22 3

540

x=3Ñ2'6 5

541

x=2Ñ'7

542

x=4Ñ2'2

543

x=-2 또는 x=3

544

x=-1Ñ'¶65 4

545

x=-5 또는 x=1

546

x=3Ñ'¶21 2

547

x=3Ñ'5

548

x= 1Ñ'¶10 9

549

x= 2Ñ'¶14 2

550

x=-1Ñ'¶51 10

551

x=4Ñ'¶10 2

552

x=-;2#; 또는 x=1

553

x=-1Ñ'¶21 2

554

x=-;5@; 또는 x=1

555

x=4Ñ'¶10

556

x=-5Ñ'¶29 4

557

x=-;5$; 또는 x=5

558

x=-;5!; 또는 x=-;2!;

559

x=-3Ñ2'3 3

560

x=-2 또는 x=-7

561

x=-4 또는 x=4

562

x=-8 또는 x=1

563

x=;2%; 또는 x=;3&;

564

x=;9%; 또는 x=1

565

1, -4, -5, 36, 2

(9)

빠른 정답

본교재 이차함수 y=ax2, y=ax2+q의 그래프 p. 117~122

15

0

57

y x y=x2 O 2 2 4 6 8 ⑴ ⑵ 4 -2 -4

0

58

y x O 2 4 -2 -2 -4 -6 -8 -4 y=-x2 ⑴ ⑵

0

59

아래

0

60

0

0

61

x=0

0

62

감소

0

63

1, 2

0

64

0

65

0

0

66

x=0

0

67

증가

0

68

3, 4

0

69

ㄴ, ㅁ, ㅂ

0

70

0

71

0

72

ㄴ, ㄹ, ㅁ

0

73

0

74

ㄹ과 ㅂ

0

75

0

76

0

77

0

78

0

79

0

80

0

81

0

82

0

83

-5

0

84

2

0

85

-18

0

86

-;4#;

0

87

4

0

88

y=xÛ`+1

0

89

y=-xÛ`+4

0

90

y=-2xÛ`-1

0

91

y=3xÛ`-;2!;

0

92

y=-;5!;xÛ`+3

0

93

2

0

94

-7

0

95

;8%; 이차함수와 그 그래프 p. 111~115

14

00

1

00

2

×

00

3

×

00

4

×

00

5

×

00

6

00

7

×

00

8

00

9

y=x2 , 이차함수

0

10

y=3x, 이차함수가 아니다.

0

11

y=px2, 이차함수

0

12

y=x3, 이차함수가 아니다.

0

13

y=1000x, 이차함수가 아니다.

0

14

y=60x, 이차함수가 아니다.

0

15

13

0

16

6

0

17

1

0

18

-2

0

19

3

0

20

7

0

21

-16

0

22

-1

0

23

0

0

24

2

0

25

12

0

26

2

0

27

5

0

28

-6

0

29

0

0

30

9

0

31

6

0

32

3

0

33

-4

0

34

5

0

35

3

0

36

-7

0

37

9, 4, 1, 0, 1, 4, 9

0

38

O -2 2 2 4 6 8 4 y x -4

0

39

0

0

40

아래

0

41

y축

0

42

>

0

43

<

0

44

1, 2

0

45

-9, -4, -1, 0, -1, -4, -9

639

x+4 ⑵ (x+4)Û`=2xÛ`-4 ⑶ x=-2 또는 x=10 ⑷ 10

640

15

641

x-2 ⑵ x(x-2)=63 ⑶ x=-7 또는 x=9 ⑷ 9

642

12

643

x+1 ⑵ x(x+1)=156 ⑶ x=-13 또는 x=12 ⑷ 12, 13

644

20, 21

645

x+3, x-2 ⑵ (x+3)(x-2)=50x=-8 또는 x=77

646

2

647

20-x, 10-x ⑵ (20-x)(10-x)=144

x=2 또는 x=28 ⑷ 2

648

3

649

2초 또는 6초 ⑵ 8초

650

2초 또는 8초 ⑵ 11초

651

8

652

나은 : 16살, 동생 : 13살

653

4`m

0

46

O -2 -2 -4 -6 -8 2 4 y x -4

0

47

0

0

48

0

49

y축

0

50

<

0

51

>

0

52

3, 4

0

53

x축

0

54

ㄹ,ㅁ

0

55

-4

0

56

①, ⑤

(10)

138

139

(1, 0), x=1

140

(-3, 0), x=-3

141

(2, 0), x=2

142

(-5, 0), x=-5

143

{;3@;, 0}, x=;3@;

144

{-;6!;, 0}, x=-;6!;

145

×

146

147

×

148

149

×

150

151

-1

152

-1, 0

153

x=-1

154

3

155

아래

156

3

157

3, 0

158

x=3

159

-8

160

161

2

162

-3

163

;2#;

164

2, 4

165

-6, 2

166

-;2#;, -;2!;

167

y=2(x-1)2+2

168

y=3{x+;3!;}2+6

169

y=-2(x-3)2-4

170

y=-4(x+1)2-2

171

y=;7!;(x+2)2+5

172

p=2, q=-1

173

p=-3, q=5

174

p=-;6%;, q=-;2!;

175

176

177

(1, 4), x=1

178

(-2, -2), x=-2

179

(4, -3), x=4

180

(-3, 5), x=-3

181

{-1, ;2!;}, x=-1

182

{;5$;, -;3!;}, x=;5$;

183

×

184

185

×

186

187

188

189

3, -2

190

3, -2

191

x=3

192

0

193

아래

194

-3, 1

195

-3, 1 y=-x2 x O 2 4 -2 -2 -4 -8 -4 -6 ⑴ ⑵ y x y=2x2 O 2 2 4 6 8 4 -2 -4 ⑴ ⑵ y x O 2 4 -2 2 -4 y=- x2 2 1 -2 -4 -6 ⑴ ⑵ x O 2 4 -2 -2 2 4 6 -4 ⑴ ⑵ y=-x2 x O 2 4 -2 -2 -4 -6 -4 2 ⑴ ⑵

0

98

(0, 1), x=0

0

99

(0, -4), x=0

100

(0, 7), x=0

101

{0, -;5!;}, x=0

102

(0, -2), x=0

103

{0, ;4#;}, x=0

104

105

×

106

×

107

108

×

109

110

1

111

1

112

x=0

113

6

114

아래

115

-3

116

0, -3

117

x=0

118

-5

119

120

-7

121

-4

122

8

123

5

124

-4

125

;2!;

126

ㄱ, ㄴ, ㄹ

127

128

5 이차함수 y=a(x-p)2, y=a(x-p)2+q 의 그래프 p. 124~130

16

129

y=4(x+2)Û`

130

y=-2(x+1)Û`

131

y=-3(x-2)Û`

132

y=6{x+;3!;}2`

133

y=-;2!;{x-;4#;}2`

134

1

135

-4

136

-;3@;

137

y x y=2x2 O 2 2 4 6 8 4 -2 -4 ⑴ ⑵

(11)

빠른 정답

본교재 이차함수 y=ax2+bx+c의 그래프 p. 132~136

17

213

y=4(x-1)2-3

214

y=(x+2)2-1

215

y=(x-3)2+4

216

y=5(x+1)2-8

217

y=-3(x-2)2+6

218

y=-;2!;(x+4)2+16

219

y=(x-2)2-2, (2, -2), x=2, (0, 2)

220

y=-2(x-4)2+15, (4, 15), x=4, (0, -17)

221

y=-3(x+2)2+12, (-2, 12), x=-2, (0, 0)

222

y=(x-2)2-1

223

y=-3(x-1)2+2

224

y=;3@;(x+3)2-4

231

×

232

233

234

×

235

236

-3, 10

237

-3, 10

238

-3

239

240

1

241

2, -16

242

2, -16

243

2

244

아래

245

-4

246

아래, >

247

왼, >, 같다, >

248

위, >

249

위, <

250

오른, <, 다르다, >

251

아래, <

252

>, <, >

253

<, <, < y O -2 -2 2 2 4 4 x y O -2 -2 2 2 4 4 x -4 O -2 -2 -4 2 4 y x -4 -6

254

>, >, >

255

>, =, <

256

<, >, =

257

O y x

258

O y x

259

x y O

260

x y O

261

O y x

262

4

263

264

④ 이차함수의 활용 p. 138~142

18

265

y=-2x2+4x

266

y=x2-4x+1

267

y=-x2-2x+2

268

y=-;2!;x2-1

269

y=5x2-20x+20

270

y=x2+4x+2

271

y=2x2-8x+9

272

y=-x2+2x+1

273

y=-xÛ`-4x-1

274

y=3x2-6x-6

275

y=-x2+8x-4

276

y=2x2+12x+15

277

y=-4x2-8x-2

278

y=2x2+8x+5

279

y=-x2+4x-1

280

y=-2x2-4x-1

281

y=-x2+4x+1

282

y=3x2-6x-2

283

y=-2x2-4x+2

284

y=x2-6x-3

285

y=2x2-8x+5

286

y=x2-5x+4

287

y=-x2-2x+8

288

y=-;4#;x2+:Á2Á:x-5

289

y=-3x2+12x-9

290

y=x2-x-2

291

y=2x2+4x-6

292

y=-2x2+6x+8

293

y=x2+6x+8

294

y=x2-6x+5

295

y=;2!;x2+x-4

296

y=-x2+x+6

297

4, 20

298

6, 12

299

6초 ⑵ 2초

300

y=;4#;x2-3x+1

301

-4

302

(0, -4)

196

x=-3

197

;5$;

198

199

3

200

-2

201

-1

202

;3@;

203

-5, 1

204

-6, -4

205

>, >, <

206

<, >, >

207

>, <, >

208

<, <, <

209

>, <, =

210

(1, 0)

211

-3

212

②, ⑤

225

(-2, 0), (-1, 0)

226

(-3, 0), (4, 0)

227

{;2!;, 0}, (3, 0)

228

(0, 0), (5, 0)

229

(-4, 0), (2, 0)

230

{-;3@;, 0}, {;2#;, 0}

(12)

연산 Plus

제곱근의 뜻과 성질 p. 02~03

01

0

1

36, 36, -6

0

2

49 , 1 49 , ;7!; 1

0

3

0

0

4

8, -8

0

5

12 , -1 12 1

0

6

;4#;, -;4#;

0

7

0.1, -0.1

0

8

1.5, -1.5

0

9

Ñ'8

10

Ñ'¶35

11

Ñ'¶5.6

12

Ѿ;7#;

13

Ñ3

14

5

15

-10

16

;8(;

17

-14 1

18

-1.1

19

Ñ'6

20

'6

21

-0.4

22

0.4

23

7

24

11

25

-19

26

13 4

27

-;8#;

28

2.1

29

0.07

30

-5.2

31

3

32

15

33

-10

34

-24

35

;2&;

36

-12 5

37

2.5

38

-0.33

39

9

40

0.2

41

-;3&;

42

Ñ1.3

43

44

_

45

_

46

_

47

48

49

13

50

-9

51

10

52

-4

53

25

54

5

55

15

56

-;5#;

57

9

58

3

59

-;2!;

60

0.1 제곱근의 계산 p. 04~05

02

0

1

2a

0

2

5a

0

3

-6a

0

4

-9a

0

5

-7a

0

6

-8a

0

7

3a

0

8

4a

0

9

13a

10

-4a

11

7a

12

4a

13

-3a

14

-4a

15

-10a

16

-9a

17

a-3

18

-a-1

19

-a+6

20

a+5

21

1

22

2x-4

23

5

24

2x-1

25

3

26

3, 6

27

6

28

6

29

15

30

10

31

42

32

11

33

35

34

21

35

14

36

<

37

<

38

>

39

>

40

>

41

<

42

<

43

<

44

>

45

>

46

'3, 2, '5

47

-5, -¾Ð:¢2°:, -'¶21

48

"Ã(-3)2, ¾Ð:ª3»:, '¶12

49

'¶0.7, ¾;5$;, "Ã(-2)2

50

3

51

7

52

7

53

6

54

12

55

8 무리수와 실수 p. 06~07

03

0

1

0

2

0

3

0

4

0

5

0

6

0

7

'¶49, "Ã(-0.3)2, 1.H5

0

8

-¾Ð;2¤5;, 0.316278y

0

9

_

10

_

11

12

13

_

14

0.H5H7, ¾Ð;1»6;

15

'5, '¶99, 3p

16

_

17

_

18

19

_

20

_

21

22

_

23

24

3-'5, 3+'5

25

-1-'¶10, -1+'¶10

26

1-'5, 1+'5

27

6-'8, 6+'8

28

-4-'¶13, -4+'¶13

29

<

30

>

31

<

32

>

33

>

34

>

35

<

36

>

37

S

38

U

39

Q

40

T

41

P

42

R

(13)

빠른 정답

Plus Book

근호를 포함한 식의 곱셈과 나눗셈 p. 08~09

04

0

1

'¶21

0

2

-¾;2%;

0

3

'¶10

0

4

9'¶15

0

5

-48

0

6

3

0

7

-2'6

0

8

'7

0

9

'6

10

2'2

11

-2'3

12

-¾;5@;

13

'3

14

¾;5#;

15

3'2

16

5'3

17

'7 6

18

310'5

19

'¶28

20

-'¶27

21

¾Ð;1!6%;

22

-¾;3@;

23

2'3 3

24

3'¶11 11

25

7'7

26

4'6 3

27

'¶39 3

28

'¶30 15

29

'3 2

30

'¶30 15

31

'6 2

32

'5 5

33

2'¶35 15

34

5'6

35

-2'3 3

36

3'55

37

- '10 5

38

3'¶14

39

'3 2

40

'3

41

3'¶15

42

10'6

43

2'¶30 15

44

2'¶217

45

1.825

46

1.786

47

1.803

48

3.24

49

3.47

50

3.14

51

26.46

52

83.67

53

0.8367

54

0.2646 근호를 포함한 식의 덧셈과 뺄셈 p. 10~11

05

0

1

7'2

0

2

7'5

0

3

5'7

0

4

-5'3

0

5

116 '2

0

6

4'5 5

0

7

1312 '2

0

8

-3'2

0

9

'3

10

-4'7

11

5'6

12

-5'¶11

13

2312 '3

14

- '6 5

15

7'3-3'2

16

'6-6'3

17

7'2 6 +'3 2

18

136 -'5 '¶106

19

2'2+4'3

20

'5-5'6

21

7'26 +'34

22

'73 -1312 '3

23

7'2

24

'5

25

8'3

26

'64

27

'5+'¶10

28

6'6-3'3

29

2'2-2'3

30

5'¶14-5'7

31

-2'3

32

-2'5

33

3'3-5'63

34

'6+'¶10

35

-'¶30+'¶10

36

3'2-6

37

2'2+'6

38

1

39

-2+'¶14

40

'3- '2 6

41

'5-3

42

4+3'5

43

'3-32

44

1+2'6

45

'3

46

'3-8'2

47

5'2+1

48

2

49

-2

50

-4

51

5 다항식의 곱셈 p. 12~13

06

0

1

ab+5a-2b-10

0

2

xy+3x+5y+15

0

3

6xy-8x+3y-4

0

4

15xy-3x-5y+1

0

5

-3ac+2ad-6bc+4bd

0

6

x2-9x+18

0

7

3a2+14a+8

0

8

-2x2-5xy-3y2

0

9

3x2-xy+7x-2y+2

10

x2-16y2-x-4y

11

1

12

-2

13

-5

14

7

15

a2+6a+9

16

x2+8x+16

17

4x2+4x+1

18

16y2+24y+9

19

x2+14xy+49y2

20

9a2+12ab+4b2

21

x2-10xy+25y2

22

4a2-12ab+9b2

23

x2+3xy+;4(;y2

24

;9!;a2+2ab+9b2

25

a2-6a+9

26

x2-10x+25

27

4x2-12x+9

28

16y2-40y+25

29

x2-12xy+36y2

30

25a2-30ab+9b2

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