III gimnazjum

Matematyka 2001

Matematyka

Liczy się matematyka 3

Matematyka 2001. Zeszyt ćwiczeń cz. 1

Matematyka 2001. Zeszyt ćwiczeń cz. 2

Matematyka 3. Ćwiczenia podstawowe

Matematyka 3. Zeszyt zadań

Matematyka na czasie! 3

Matematyka wokół nas 3

Matematyka wokół nas 3. Zeszyt ćwiczeń cz. 1

Matematyka wokół nas 3. Zeszyt ćwiczeń cz. 2

Matematyka z plusem 3

Matematyka z plusem 3. Zbiór zadań 2001

Policzmy to razem 3

Rysunek pomocniczy: <img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/104853/zad5s123.jpg" width="408" height="270"> Wiemy, że: <object class="onesize" data="https://odrabiamy.pl/images/0248792e-a910-4d50-ac18-84dfc16c1def_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/7bb5355f-3a1e-4618-bc85-56e233094792_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/e185e042-05ff-49c0-a929-893c4054b3da_small.svg" type="image/svg+xml"></object>  trójkąt o bokach długości <object class="onesize" data="https://odrabiamy.pl/images/c14873c9-8e5b-4a6b-8e67-c1d40eb2e03e_small.svg" type="image/svg+xml"></object> jest prostokątny o kątach ostrych <object class="onesize" data="https://odrabiamy.pl/images/f0cfd1d8-dcb5-4371-9284-87faaf7794f1_small.svg" type="image/svg+xml"></object> i <object class="onesize" data="https://odrabiamy.pl/images/c11786e3-773d-4eee-9339-d8ebccd56ed1_small.svg" type="image/svg+xml"></object>  zatem: <object class="onesize" data="https://odrabiamy.pl/images/32cd3c18-2b0b-443c-b548-1e28ba73b9c4_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/540a18f0-0bba-405b-9223-0b421e008aad_small.svg" type="image/svg+xml"></object>  wiemy również, że stosunek długości podstaw wynosi <object class="onesize" data="https://odrabiamy.pl/images/0ab4e936-9f90-43fc-83aa-4a6389067cda_small.svg" type="image/svg+xml"></object>  zatem: <object class="onesize" data="https://odrabiamy.pl/images/adbdacc7-f20d-4254-8bea-3980cca01160_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/72d1cacd-f3cb-46aa-bbdc-4374f1641532_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/0e986d6f-41e0-469c-89c1-b7fa1f81aab1_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/3048bfbe-5574-4e81-9ceb-5c8c9de521b4_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/77f9f246-98f7-493e-844a-c4cf27da7361_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/adde68a5-aa41-4aa2-ab1d-1cfde341974d_small.svg" type="image/svg+xml"></object>  zatem: <object class="onesize" data="https://odrabiamy.pl/images/e185e042-05ff-49c0-a929-893c4054b3da_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/f7dd19db-c8cd-4b71-9fdc-cb20ce79d770_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/e9bb77b4-3d57-4702-ace4-5e2a6f356644_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/0309fd51-a39a-4c61-a17f-e469b37f215f_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/651b5987-1548-4ba8-aee0-0da922652d3a_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/d85db46c-a7bc-455e-8f64-451dc74f6ea7_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/8bf93cc8-2bdb-4a7b-af9d-58755de2a6a0_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/d64944fb-0fa0-4a91-b15d-93e5c6aec3a5_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/22e86ee4-10a6-418e-a627-16afc1a63fba_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/42025cf2-8f31-4805-84fc-129c788d4055_small.svg" type="image/svg+xml"></object>  Obliczmy pole powierzchni tego trapezu: <object class="onesize" data="https://odrabiamy.pl/images/8a159c51-9572-4b08-adb4-22d7ba7e73a3_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/c96b9a1f-c050-4e0c-bdf6-33fdd26122e1_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/c96b9a1f-c050-4e0c-bdf6-33fdd26122e1_small.svg" type="image/svg+xml"></object>  Odp.: Pole powierzchni tego trapezu wynosi `21sqrt3 \ "cm"^2`.

40 minut to <object class="onesize" data="https://odrabiamy.pl/images/91f3466c-7c20-4ae0-b81b-89bb5f1493c5_small.svg" type="image/svg+xml"></object> godziny <object class="onesize" data="https://odrabiamy.pl/images/c0829524-4c30-4365-a193-5ea7615ab1c7_small.svg" type="image/svg+xml"></object> - prędkość samochodu osobowego ( w km/h) <object class="onesize" data="https://odrabiamy.pl/images/4fcd100f-bed1-452e-b4e4-0a3312b29fd2_small.svg" type="image/svg+xml"></object> - prędkość samochodu ciężarowego  (w km/h) <object class="big" data="https://odrabiamy.pl/images/a108c31f-aa8e-4ae4-b1d7-6e61731c0a70_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/a108c31f-aa8e-4ae4-b1d7-6e61731c0a70_small.svg" type="image/svg+xml"></object>   <object class="big" data="https://odrabiamy.pl/images/c34bcecb-f830-4965-952a-e8893acf2b3e_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/c34bcecb-f830-4965-952a-e8893acf2b3e_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/8a54577b-60dc-41cc-9057-f2e9f6b88231_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/8a54577b-60dc-41cc-9057-f2e9f6b88231_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/fe12f3cc-7ecf-4179-97cb-15f5d41220b4_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/fe12f3cc-7ecf-4179-97cb-15f5d41220b4_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/ab8de652-804a-4dbc-9ac1-3850addd0a6a_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/ab8de652-804a-4dbc-9ac1-3850addd0a6a_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/836abf62-d899-464b-ac09-6bc4745917fb_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/836abf62-d899-464b-ac09-6bc4745917fb_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/ddeef6f1-fbfb-480b-bbe5-48f2ae1e9aad_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/ddeef6f1-fbfb-480b-bbe5-48f2ae1e9aad_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/63a9811e-3387-484e-9719-d0a7d23bd182_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/63a9811e-3387-484e-9719-d0a7d23bd182_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/5c1feeeb-792b-4b57-9d5b-0c0e362097ef_small.svg" type="image/svg+xml"></object>  <object class="big" data="https://odrabiamy.pl/images/3478dc19-6eaf-489b-95d6-3a69586c4f3f_big.svg" type="image/svg+xml"></object><object class="small" data="https://odrabiamy.pl/images/3478dc19-6eaf-489b-95d6-3a69586c4f3f_small.svg" type="image/svg+xml"></object>  <object class="onesize" data="https://odrabiamy.pl/images/498cbb2f-aeeb-4d90-9418-3ec5a2cdb487_small.svg" type="image/svg+xml"></object>  Odp.: Samochód ciężarowy poruszał się z prędkością 45 km/h.

Komentarze