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 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

4, 220; 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

      

2.8

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

      

4.9

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

        

6.12

6, 134

8, 258-259

        

7.1

7, 187

9, 229

7.1'

28, 240

      

7.2

7, 187

8, 259-260

        

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

      

7.6

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

        

9.7

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

        

9.11

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

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

         

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

      

13.4

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

        

13.9(а)

13, 180

19, 249-253

        

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

         

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

         

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

      

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

      

23.7

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''(а)

32,188

      
   

26.4''(б)

32,189

      
   

26.4(3)

32,189

      

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

      

26.9

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

         

27.6

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

 

28.6'

29, 269

      

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

         

29.4

29, 256

         

29.5

29, 256

32, 197-198

        

29.6

29, 256

         

29.7

29, 256-257

         

29.8

29, 257

         

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

         

30.10

30, 231

32, 198

        

30.11

30, 231

         

30.12

30, 231

         

30.13

30, 231

         

30.14

30, 231

         

30.15

30, 232

         

31.1

31, 209

         

31.2

31, 209-210

         

31.3

31, 210

         

31.4

31, 210

         

31.5

31, 210

         

31.6

31, 210

         

31.7

31, 210

         

31.8

31, 211

         

31.9

31, 211

         

31.10

31, 211

         

31.11

31, 211

         

31.12

31, 212

         

31.13

31, 212

         

31.14

31, 212

         

31.15

31, 212

         

32.1

32,179

         

32.2

32,180

         

32.3

32,180

         

32.4

32,180

         

32.5

32,180

         

32.6

32,180

         

32.7

32,180

         

32.8(а),(б),(в)

32,180

         

32.8(г)

32,181

         

32.9

32,181

         

32.10

32,181

         

32.11(а),(б)

32,181

         

32.11(в)

32,182

         

32.12

32,182

         

32.13

32,182

         

32.14

32,182

         

32.15

32,182