291 Bài trắc nghiệm Hàm số Cực hay có lời giải chi tiết (P7)

Cho hàm số f(x) = abs( x^4 - 4x^3 + 4x^2 +a). Gọi M, m lần lượt

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Cho hàm số f(x) = x4-4x3+4x2+a. Gọi M, m lần lượt là giá trị lớn nhất, giá trị nhỏ nhất của hàm số đã cho trên đoạn [0; 2] .Có bao nhiêu số nguyên a thuộc đoạn [-3; 3] sao cho M≤2m?

3

7

6

5

Giải thích

Đáp án D

Xét hàm số A8zD8DNvlWlzEgz4yLvep3TwCZXp9MIhaFGAmZ5pN4JvZtGYluCXS9KNdQHjBo9lzhw0qChuU5xFkYraMgWdhpbHAhyqfUZGXmKXScYMDeLKv09N6B7sKFQ_JcUFPQYQkDHWPw8Kwt0w-QrcwQ.

QNAYWrXWrne3ahKG_d1hFCWOU21B9SDfmB9uWbLP4_qkCNU5tn5jUrUYFb2Lk4IkUR3w_8XlwDDivmGFOmuLOzLYUFZj4npL4a1pPIfngpz7eP4WrCf_Klr-b-pGwwwrnBOmW3iUAlJFUkGjhQ;

bQH_Uel1rRSQkQ6R7RLCMJlMjTZuY7wFfhsna7XGZeOpsJQI8IQIoC6Uku5WBO1D3wIH6ZlA0pris-sQVscgDQrM1UUH-W83_E2fPAuR_k8GDZO4NuGK6bH_QvJhZkK9viQ-dWVccPfd4njdIQ9dtMrYYN6_uTL74ZYIXIJifQ4g4zH9vOROwHvCytUlGG_MbHzpkZaYCfYcFv4QA5ILl8isAkuK-ccKnYKYTsay4Hmo_jmP7WbcZPaMhdK1TxNYfqa6-_PVdZ8rBd6A2u-sUWIFn-2Q4UjYshbA

iLvQ-OszqJr_jQgEUZPLnwrIN-e_de8cMMjGOWbOztnGtVaVghf1SdBg3CjvbpIKMWRiVwW2BkvjIz8mwJIQqwBzYMFjcam80nbDy6ZmyRkIifjJrpBiXaM-vcuqsj4VkMNSAKavnT5o6F15aA

Bảng biến thiên

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Do j_I8K2BX3oHgF4slzVCVW0XB5m0aBfyWpzxwuKySGoLPzUSO987JHb56ygjavgjdjWB4kNCODPt6Fixdj23IVGe8vR-jHemRRc_ukvQKJ8LTrTvVkv66paVdjg-xL_zqQIj8l1ZgjlYIfhsVjg nên 6nracNbAGXoyEyOtPl9C4VKPjrZOoHelWU5MITJAs9FUJSVwgReKfa83dpEaynLP1b_-_SmkSTOOSrQ2-fXAPaXvxMCkgE0pAN8otEe4dfRAUd2Cjgpf28bukUmpAR9F6RA8j27jy-1EuDyhwA suy ra BvemCLX9EeZyY-dDrt7EquEKDFvW-gwuD7mMz-b4uJvTDleEkFHGoBWdCOwrsTpXN28NWvp_qV-SWnf1Sov2jRt4W6dP85oL682CRLOe1-hQqMlzPbmX0HVV_slT02ZAkG4YB0WBT1JflvEAnQ.

Suy ra VXBAOiZ13QpqItm9gnKa2gnv1fp2JCEmg6PJ-a06ln9CGE3IcX-Qk4zW5-YjFHJmfBd13mE5Mg2MFtMphBlY4bTDEYvmmK2wEAg_yHMrnLC7zx4jJZBVc3Pg39Lnkw-lTmiOp8JoIFi2VC9zOQ.

Nếu fSLMcnjSZOMhsmL78sRpa4WaGeNZ2PQF_GmPkxntO2EImqyCnGtbFNXCxfmtdsgzs0zVABhDJnr6ZvhpnTkdHTaclGgLLQ1zCRX76PMdHxrmF8FEXNzRNAnhnv9lg41JtFMDD69rhkDIlUZfMg thì zCdTeROexXO8bWTljjuFXRqV1TUZrL-A9Q0ausdGUEVUdTWP-cauSBN_N79OZR1Kz10kRHG3M7auzqm58DKyP9TBe0PuwOLBeSFsVmEKXZ4albPnVbJyEBo--YHOs64xSoupqe83n5avnzgQOA, clan3CQZXUikVzVChxfgCZmf2M_rePof70GF7DDE19ii8RycteSuoedewpnoFFWAlm5bfmh5rnLBZYEyx6G7JM4q-ZowQCw3y9nCFHoc0K7jw9keB7-CJOrlXMHGur_-u-7PmgwnJ1XBdXbnNQ

iWn6OaNE9vDdX46iUm0qIrWmqTD8FmAWQscWfAKYLO5M7c2ieLKDsg2MF3hoRxiyZIYJ1A92pHp6B6wCi4o1AsBmkpN_Fp4aY5kpXVRQRTdlOWS5p8R95B1tDnZEsYAvBcSTnJuZzNwblyyT1AeeyjXTItehq9bXPpDHTx3EbO8YrPPatdDPOpdjONZ7YiHHkhUo06aO-nA6xLN0Ce9opDCJ-vjLXD5eNICF9HrzcZEPuB8tTxMIbVrVpvUBu9IulloI2vPktlHsrHGD26ikvRr59YgOOL90wUHwCgnJ_4su7sKrfTbwfCXyDmLhKmvZTSSyuQjzgHT6vGa5QOk63dPXEihuC7qTljJ9UglA4AOPkFDPXAG1wEb5QMkmmaqemqrG0mCZZl3D1RjyEr8DI-SnyeMqz8YwOBKpeDkiHDlcAGuBakqsZA.

Nếu lng23rhoKJoeSDTPoSQTq3nm32Aax468jh4I7Dm7xhsRKeJ2JOrrTud8arnK3sFMEp4apLerV6b5AWIzR6GvGG6zjqNrJ11zRKBYeYLMv9HYQgXAjKvcL3R6DpKgk4arV7sNO7kIcogd-PLdRA thì fiIyWI62Yw_TZMPOx50Bjv9_-5jP7Lpabq6Rzx-AINQGFnBLLrfKNAuWUA5xxRhwxGGxHey-ZUqJGxC_NSA9ZsO9TgUq7cFh0goC2MzzC00keT3I_4MfaHXjmVULB9oJ9Lx_WJHLPfNGnGYD7A, Z9MyBJm5YR8cRXozaO7PTmuOuRbmrjLk_LHr4Ak_1cj03izx37oW9Yg3Dkc5e3ekMDWeKvod-_e88MbT-oMAb0LNtEt6eMnM9VQcbA1_k_P54LOwsNpP3SXyCtWRowLXx-SgtFrOOs4C4WkOSw

sEneZoGN2RSaXw6l6oTMiPCfmfssYbwiz9dBqEbX5NVrbpJFdV91muXIYzMgRM7ZwE8ItJnuY5NM2Y3K0EB40nxCtaLT5OnNrE2o5uCxu9fafFuQucqWtcK15AnDkDS5-HgZE3g-z0_us7EjtgCQJ0yBfXAlBIFgCFky5VwhE3i6pWrG2f9qAFxur_EFy_8snDVwVCJVVE1G7rtzLKlcIcS1heoyhdnEhnit0gkWd23x7Cdx4copc6yfIb6DVdrs2aFuzh7jte-ndlv_4LNUUUQjuyoxSq9wxbIgQRGczgARgfmy9KCCnQspJsNXdTjOlerjm95Ds12hMsLb1XNkcc6VONq4D0-lWQDNaYXQ3SnwyUe_dMePqjwRCXK_ChRNshGG9lPQqos49wTBLbu9AolLhPwA6dbJ6z72i3eOeGACQp9RTgDSXw.

Do đó 9ZQexe9bwS_yVPVuIzuQqpNjyeTiiThRhs6hrTxUhrf_OTMnrFNs500g0ceE6wRGLu4vCI9k8hkhMYogoOPfP37rtO4Fcta78tDFEKwgWVeCzA_Ey-mRt5ohICDT_V4hRdPRQ2p3AlMsj4BjgA hoặc AvQmeXLAHnZY8MdrkUN0Qt8oUPtqEMTkClSAoNxzjm4SfXRgZJZxSSxmiBmaeJuyWxdE8KxXBAJqwZSdSxuN7D9N2pfo0pMG4UsXu3g4P29G-IaK5ULE2mpBHNfdJCX1rSNQaB-G61TqtTe-Uw, do a nguyên và thuộc đoạn rY1WUkBNOcGsESRelMPIJQMnuqVVGGIhhJlrzf-ipoakCFmlxgYCJI28KwDmR-sOITLNSZ2swu60MzWmB_cVO5SU6-FN5WEQue7PipTdfW9AKcYkeTcE3rMf1DjOsOx2hKVShdTvS3wk50bh6g nên YqRi36cVdL01VxE-p9jrW4NA0Shvx6vLQg52d176cLh8S5keHa3lHIFywSlEzQNhk854De78jrA_4bSIKmNpSWQWVYBSwdRbFv0DtYUZRlsoxJ65RFCHGxvAFJxkyQ24VmHaCrY0aCLh9PbKyw.