Указатель условий, решений и статей по мотивам задач

из «Математического просвещения»

(число перед запятой — номер выпуска, числа после запятой — номера страниц)

Версии, актуальные на момент выхода очередного сборника, публиковались:

в выпуске 15 (2011 г.) https://mccme.ru/free-books/matpros/mpf.pdf,

в выпуске 20 (2016 г.) https://mccme.ru/free-books/matpros/pdf/mp-20.pdf,

в выпуске 30 (2023 г.) https://mccme.ru/free-books/matpros/pdf/mp-30.pdf.

Задача

Условие

Решение или статья по мотивам

Родственная задача

Условие

Решение или статья по мотивам

Задача 163

Сер.1, вып.13, с.59

31,221

Задача для школьников 6

Сер.1, вып.13, с.60

31, 221

Задача для школьников 7

Сер.1, вып.13, с.60

31,221-222

Задача 6

Сер.2, вып.1, с.220

34, 177

Задача 7

Сер.2, вып. 1, с.221

Задача 9

Сер.2, вып. 1, с.221

32,191-192

1.1

1, 193

6, 137-139

1.1'

30, 233-234

1.2

1, 193

5, 218

1.2'

22, 234

26, 276

1.2"

25, 170

26, 276-279

1.3

1, 193

4, 218

1.3'

29, 259

1.4

1, 193

5, 218-221

1.5

1, 194

6, 139-140

1.5'

27, 238

1.6

1, 194

5, 221-223;      10, 274

1.7

1, 194

4, 219

1.8

1, 194

4, 220

1.8'

27, 238

1.9

1, 194

5, 223-225

1.10

1, 194

5, 225-227; 24, 181-184

2.1

2, 216

4, 221

2.2

2, 216

5, 227-228

2.3

2, 216

4, 221

2.3'

28, 237

2.4

2, 217

4, 221-222

2.4'

22, 234

2.4''

22, 234

29, 272

2.5

2, 217

4, 222

2.5'

29, 260

2.6

2, 217

4, 222-223

2.7

2, 217

6, 140-142

2.7'

28, 238

32,192-193

2.7''

32,184

2.7(3)

33,187

2.8

2, 217

6, 2-145;          18, 259-261

2.9

2, 217

6, 145-147

2.10

6, 135

8, 248-249

3.1

3, 232

4, 223

3.1'

28, 238-239

3.1''

32,184

3.2

3, 232

4, 223-224

3.2'

27, 239

3.3

3, 232

5, 227-228;      19, 241-247

3.3'

25, 171

3.4

3, 232

4, 224

3.5

3, 233

4, 225; 18, 262

3.5'

26, 268

3.5"

28, 239

3.5(3)

29, 260

3.5(4)

29, 260

3.5(5)

32, 184

3.5(6)

32,185

3.6

3, 233

7, 190-193

3.7

3, 233

6, 147-148

3.8

3, 233

6, 148-149

3.8'

22, 235

3.8"

31, 213

3.9

8, 247

15, 206-211

3.10

3, 233

8, 239-245

3.10'

32, 185

3.11

3, 233

8, 186-221

4.1

4, 215

6, 149-150

4.2

4, 215

7, 193

4.3

4, 215

7, 193-194

4.4

4, 216

7, 194

4.5

4, 216

6, 150

4.6

4, 216

6, 150-151

4.7

4, 216

6, 151-152

4.8

4, 216

5, 228-229

4.8'

28, 239

4.8"

29, 261

4.8'''

34, 172

4.9

4, 217

8, 237-238

4.10

4, 217

7, 194-195

4.10'

27, 239

4.10"

29, 262

4.11

4, 217

8, 249-252;      15, 212-218

4.12

4, 217

18, 263-269

5.1

5, 216

6, 152-153

5.2

6, 135

7, 195-196

5.2'

31, 214

5.2"

31, 214

5.3

5, 216

6, 153

5.4

5, 216-217

7, 196-198

5.5

5, 217

8, 252-254

5.5'

23, 217

5.5"

27, 239

5.6

5, 217

14, 275-276

5.7

5, 217

6, 153

5.8

5, 217

7, 198

5.9

5, 217

10, 232-235,  236-242;

5.9'

29, 262

11, 145-148

5.10

5, 217

8, 254

6.1

6, 133

8, 255

6.1'

23, 217

25, 176-177

6.1"

27, 240

6.2

6, 133

9, 225

6.3

6, 133

9, 225-226

6.4

6, 133

9, 226-227

6.5

6, 133-134

6.6

6, 134

8, 255-256

6.7

6, 134

11, 165-166

6.8

6, 134

8, 256-257

6.9

6, 134

8, 222-228; 229-236

6.9'

21, 275

24, 185-186

6.10

6, 134

20, 252-253

6.11

6, 134

9, 227-229;      17, 198-199

6.11'

34, 172

6.12

6, 134

8, 258-259

7.1

7, 187

9, 229

7.1'

28, 240

7.2

7, 187

8, 259-260

7.2'

34, 173

7.3

7, 187

9, 229; 10, 274; 10, 275

7.3'

32,185

7.4

7, 187

9, 229-230

7.4'

31, 214

7.5

7, 187-188

7.5'

32,186

7.5“

33,188

7.6

7, 188

16, 233-235

7.7

7, 188

21, 276-278

7.8

7, 188

13, 182-184

7.9

7, 189

9, 230-232

7.10

11, 164

7.11

7, 189

9, 232-233

7.12

7, 189

11, 166-168

8.1

8, 246

13, 184

8.2

8, 246

10, 281

8.3

8, 246

10, 281-282;  22, 237

8.4

8, 246

10, 243-264, 282-284

8.5

8, 246

9, 215-217

8.5'

29, 263

8.5"

30, 234

8.5"'

30, 234

8.6

8, 246

22, 237-239

8.7

8, 247

31, 222-225

8.7'

31, 215

8.8

8, 247

9, 233

8.8'

27, 240

8.9

8, 247

11, 168-169

8.10

8, 247

26, 279

8.11

8, 247

22, 239-240

8.11'

23, 218

29, 273-275

8.12

8, 247

20, 238-242

9.1

9, 223

14, 276-277

9.2

9, 223

13, 184-185

9.3

9, 223

26, 280-281

9.4

9, 223

10, 284-285

9.5

9, 223

14, 277

9.5'

27, 240

9.5"

31, 215

9.6

9, 223-224

12, 237-238

9.6'

34, 173

9.7

9, 224

28, 249-251

9.8

9, 224

12, 238

9.9

9, 224

11, 169-172

9.10

9, 224

10, 265-272

9.10'

34, 173

9.11

9, 224

27, 249-251

10.1

10, 278

13, 185-186

10.1'

31, 215-216

10.1"

31, 216

10.2

10, 278

11, 172

10.3

10, 278

10.4

10, 278-279

11, 173-174

10.5

10, 279

14, 240-255

10.6

10, 279

12, 238-239

10.7

10, 279

24, 186-188

10.8

10, 279

22, 241-242

10.9

10, 279

14, 277-278

10.9'

28, 240

10.9"

28, 240

10.10

10, 280

11, 149-158

10.10'

28, 241

10.11

10, 280

10.11'

22, 235

10.11"

22, 235

10.11"'

22, 236

10.12

10, 280

28, 251-254

10.12'

28, 241

11.1

11, 162

13, 186; 14, 278

11.2

11, 162

13, 186-189

11.3

11, 162

17, 199

11.4

11, 162-163

23, 221-223

11.4'

23, 218

24, 188-189

11.4"

24, 178

11.4"'

24, 178

25, 177-178

11.5

11, 163

23, 223-224

11.6

11, 163

14, 279; 34, 149-155

11.6'

30, 235

14, 279

11.7

11, 163

27, 251-253

11.7'

26, 269

27, 253-254

11.7"

29, 263

11.7'''

31, 216

11.8

11, 163

11.9

11, 163

21, 278

11.9'

23, 219

25, 178-179

11.9''

32,186

11.10

11, 164

17, 199-200

11.11

11, 164

11.11'

26, 269

11.12

11, 164

12.1

12, 235

15, 236-237;  17, 187-188

12.1'

27, 241

12.2

12, 235

34, 178-180

12.3

12, 235

16, 236; 17, 200

12.4

12, 235

14, 279-280

12.5

12, 236

12.6

12, 236

20, 254-256

12.7

12, 236

16, 236-237

12.8

12, 236

14, 256-269

12.9

12, 236

20, 256-258

12.10

12, 236

13, 189-190

12.11

12, 236

12.12

12, 236

30, 1 92-208

13.1

13, 179

14, 280-281

13.2

13, 179

14, 270-271;  14, 281

13.2'

27, 241

13.3

13, 179

15, 237

13.3'

26, 269

13.3“

33.189

13.4

13, 179

23, 224-225

13.4'

32, 186

13.5

13, 179

21, 278-282

13.5'

28, 242-243

30, 233-234

13.5"

28, 243

30, 234-236

13.6

13, 179-180

20, 258-263

13.6'

27, 242

13.6"

28, 243

13.7

13, 180

23, 226

13.8

24, 177

29, 275-279

13.8'

34, 174

13.9(а)

13, 180

19, 249-253; 34, 156-161

13.9(б)

13, 180

31,225-226

13.10

13, 181

20, 215-227

13.10'

24, 179

27, 254-258

13.10"

27, 242

13.11

13, 181

22, 242-243

13.12

13, 181

13.12'

29, 264

13.12"

30, 235

14.1

14, 272

28, 254-255

14.1'

32,187

14.2

14, 272

14.3

14, 272

15, 237-239

14.4

14, 272

28, 255-256

14.5

14, 272

15, 239-240

14.6

14, 273

15, 240-241

14.6'

23, 219

24, 189

14.7

15, 235

15, 241-244

14.8

15, 235

15, 219-228

14.8'

30, 236

14.9

14, 273

16, 237-239

14.9'

26, 270

14.10

14, 273

14.11

14, 274

24, 189-193

14.12

14, 274

15, 229-230

14.12'

23, 220

27, 258

15.1

15, 232

23, 226-229;  24, 200-201

15.1'

26, 270

15.2

15, 232

23, 229

15.2'

25, 171

15.3

15, 232

30, 238-239

15.3'

32,187

15.4

15, 232

23, 230-231

15.4'

22, 236

15.5

15, 233

20, 263

15.6

15, 233

15.7

15, 233

15.8

15, 233

15.9

15, 233

24, 193-195

15.10

15, 234

17, 200-202

15.11

15, 234

34, 180-182

15.12

15, 234

16.1

16, 230

18, 269

16.2

16, 230

17, 202-203

16.3

16, 230

20, 263-264

16.3'

32,187

16.4

16, 230

19, 260

16.4'

26, 271

27, 259

16.5

16, 230

16.6

16, 231

17, 192-195

16.7

16, 231

16.7'

30, 236

16.8

16, 231

30, 239

16.9

16, 231

19, 260-262

16.10

16, 231

16.11

16, 231

17, 203-207

16.12

16, 232

16.12'

27, 243

17.1

17, 196

20, 264-265

17.1'

27, 243

17.2

17, 196

23, 231-232;  25, 179-180

17.3

17, 196

122, 243-244

17.4

17, 196

25, 180

17.4'

23, 220

25, 180-182

17.5

17, 196

30, 137-140

17.5'

24, 179-180

17.6

25, 169

26, 281-282

17.7

17, 197

17.7'

29, 265

17.8

17, 197

17.9

17, 197

25, 182-185

17.9'

26, 271

17.10

17, 197

19, 263

17.11

17, 197

20, 228-237

17.12

17, 197

18.1

18, 255

18.1'

23, 220

18.2

18, 255-256

19, 264

18.3

18, 256

18.3'

26, 272

18.4

18, 256

18.5

18, 257

34, 182-185

18.6

18, 257

18.7

18, 257

19, 264-266

18.8

18, 257

19, 254-256

18.9

18, 257

18.10

18, 258

19, 266-267

18.11

18, 258

18.12

18, 258

19.1

19, 257

19.2

19, 257

21, 282-283

19.3

19, 257

20, 265-267

19.3'

26, 272

33,196-201

19.3“

33,189

19.4

19, 258

19.5

19, 258

19.5'

25, 171

19.6

19, 258

24, 195-197

19.7

19, 258

20, 267

19.8

19, 258

19.9

19, 258

20, 267-268

19.10

19, 258

19.11

19, 258

19.12

19, 259

20.1

20, 249

21, 283-284

20.2

20, 249

21, 235-264

20.3

20, 250

20.4

28, 236

30, 192-208

20.4'

26, 272

28, 256

20.5

20, 250

23, 232-233

20.6

20, 250

21, 219-223

20.7

20, 250

20.8

20, 250-251

20.8'

29, 265

20.9

20, 251

20.9'

30, 236

20.10

20, 251

22, 244-248; 31, 227-228

20.11

20, 251

20.12

20, 251

21.1

21, 271

22, 248-249

21.2

21, 271

22, 249-251; 26, 259

21.3

21, 272

22, 220-228

21.4

21, 272

23, 233-234

21.5

21, 272

28, 256-259

21.5'

28, 244

21.6(a)

21, 272

22, 251-252

21.6(6)

21, 272-273

21.7

21, 273

21.8

21, 273

21.9

21, 273

22, 252-254

21.10

21, 273

21.11

21, 273

21.11'

28, 244

21.12

21, 273

22.1

22, 231

23, 235

22.2

22, 231-232

23, 235-236

22.3

22, 232

24, 197-198

22.4

22, 232

23, 236-238

22.4'

28, 244-245

22.5(a), (б)

26, 259-262

22.5'

26, 273

27, 259-260

22.5" (а)

27, 245

28, 259

22.5" (б)

27, 245

22.5(в)

22, 232

26, 282-284

22.6

22, 232

22.7

22, 233

22.8

22, 233

22.9

22, 233

22.10

22, 233

29, 272-273

22.11

22, 233

22.12

22, 233

22.12'

23, 220

23.1

23, 215

24, 168-174

23.2

23, 215

23.2' (а)

25, 172

23.3

23, 215-216

28, 259-260

23.4

23, 216

23.4'

24, 180

25, 163-166;

29, 232-238

23.4"

25, 172

23.5

23, 216

23.6

23, 216

23.6'

27, 245-246

23.6"

27, 246

23.6(3)

33,190

23.7

23, 216

24, 198-199

23.8

23, 216

23.9

23, 216

24, 199-200

23.10

23, 216

23.10'

24, 180

29, 279-280

23.10"

24, 180

23.10"'

27, 247

23.11

23, 217

23.12

23, 217

24.1

24, 175

25, 185

24.2

24, 175-176

24.2'

28, 245

24.2"

29, 266

24.3

24, 176

24.4

24, 176

24.5

24, 176

24.6

24, 176

25, 186-187

24.6'

29, 266-267

24.7

24, 176

31,228

24.8

24, 176

25, 187-189

24.9

24, 176

27, 260-262

24.9'

28, 246

24.10

24, 177

25, 189-190

24.11

24, 177

29, 280-282

24.12

24, 177

25.1

25, 167

26, 284

25.1'

27, 247-248

28, 260

25.2

25,167

27, 175-176

25.2'

27, 176

27, 176-177

25.2"

26, 273

27, 177

25.3

25, 168

25.4

25, 168

26, 249-257

25.4'

32,188

25.5

25, 168

25.6(а),(б)

25, 168-169

29, 282-285

25.6(в)

27, 236

29, 285

25.7

25, 169

27, 262-263

25.8

25, 169

25.9

25, 169

31,228-229

25.10

25, 169

25.10'

28, 246

25.11

25, 169

28, 219-232

25.12

25, 169

25.12'

32,188

26.1

26, 265

27, 263-265

26.1'

28, 246-247

26.1"

29, 267

26.2

26, 265

26.3

26, 265-266

26.3'

29, 268

26.3"

29, 268

30, 177-191

26.4

26, 266

27, 266-269

26.4'(а)

27, 248

26.4'(б)

28, 236

26.4(3)

32,189

26.4(4)

33,191

26.5

26, 266

27, 182-185

26.6

26, 266

27, 186-192

26.6'

26, 274

26.7

26, 266

26.8

26, 267

32,193

26.8'

30, 237

26.8''

34, 174

26.9

26, 267

26.10

26, 267

26.11

26, 267

26.12

26, 267

26.12'

26, 274

26.12"

26, 274

27.1

27, 233

27.2

27, 233-234

28, 261

27.3

27, 234

28, 261-262

27.3'

28, 247

27.3"

29, 268

27.4

27, 234

32, 194-197

27.4'

28, 248

29, 244-254

27.5

27, 234

27.5'

34, 175

27.6

27, 234

27.7

27, 234

27.8

27, 235

27.9

27, 235

27.10

27, 235

27.10'

28, 248

27.11

27, 236

27.12

27, 236

27.12'

32,189

28.1

28, 233

28.2

28, 233

30, 239-240

28.2'

30, 237

28.3

28, 233-234

28.4

28, 234

28.5

28, 234

28.6

28, 234

33,203-206

28.6'

29, 269

33,203-206

28.7

28, 234-235

28.7'

29, 270-271

28.8

28, 235

28.9

28, 235

28.10

28, 235

28.11

28, 235

28.12

28, 235

28.13

28, 235

28.13'

29, 271

28.14

28, 236

28.15

28, 236

29.1

29, 255-256

29.1'

32,190

29.2

29, 256

29.3

29, 256

34, 185-186

29.4

29, 256

29.5

29, 256

32, 197-198

29.6

29, 256

29.6'

33,191

29.7

29, 256-257

29.7'

33,192

29.8

29, 257

29.8'

34, 175

29.9

29, 257

29.10

29, 257

29.11

29, 257

29.12

29, 258

29.13

29, 258

29.14

29, 258

29.15

29, 258

29.15' (а)

30, 237

29.15' (б)

30, 237

29.15' (в)

30, 237

29.15' (г)

30, 237

30.1

30, 229

30.2

30, 229

30.3

30, 229-230

30.4

30, 230

30.5

30, 230

30.6

30, 230

30.7

30, 230

30.8

30, 230

30.9

30, 230-231

34, 186-190

30.10

30, 231

32, 198

30.11

30, 231

30.12

30, 231

30.12'

33,192

30.13

30, 231

30.14

30, 231

30.15

30, 232

30.15'

33,193

31.1

31, 209

31.2

31, 209-210

31.3

31, 210

31.4

31, 210

31.5

31, 210

31.5'

33,193-194

31.6

31, 210

31.7

31, 210

31.8

31, 211

31.9

31, 211

31.9'

33,194-195

31.10

31, 211

31.11

31, 211

31.12

31, 212

31.13

31, 212

31.14

31, 212

31.14'

33,195

31.15

31, 212

32.1

32, 179

32.2

32, 180

32.3

32, 180

32.4

32, 180

32.5

32, 180

32.5'

33,195

32.6

32, 180

32.7

32, 180

32.8(а),(б),(в)

32, 180

32.8(г)

32, 181

32.9

32, 181