176 Bài trắc nghiệm Hàm số từ đề thi Đại học cực hay có lời giải chi tiết (P2)

Cho hàm số f(x)= trị tuyệt đối của 8x^4+ax^2+b,trong đó

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Cho hàm số f(x)=|8x4+ax2+b|, trong đó a, b là tham số thực. Biết rằng giá trị lớn nhất của hàm số f(x) trên đoạn [-1;1] bằng 1. Hãy chọn khẳng định đúng?

60WrBaGQDFIE4f8QAA525dWswOQX_4e6hi_eK68SBghz588tb-cua2_jKVGSZiATH1ihCBe2iZp3JSBvwgRujImBiESCMlm8al4BUiOS0jSqn4OsZpDZGkAhoCs-CQ1rsnE1O5PizprmKmbygA, aPiaYPQGFroJDn1OeHNaIFJ9hvazu1BAujK0fSB6b7NzlU_axMD2b05twW28YLBtjPLxC504kLe6uipI7lOURbYqnKxq3xOWVgEwy23MnRt6L33Z8kRbX_LoOJfQAhQlliPcSu8hYlq69wsIxw

PZOA2F_nXCBKnQHumWsUbpQbpAoZm-0HOmP3vPwDOOE92J7WM76AW0QFBxD-Tl0cBnuOJbHrcwa_Qgzw5-9g2xNUKEzQW6ToN7tSVgR_8OsVXZePMfxSwxaQCm0pBrU1gbGUzPwXB9ZjXujpgQ, _WSk2SigQMXqtq90vsnNaIgipNcIgwZCSTbuS2JkAWWPGdHMFhJqqIf-MH8jeUtb09GY_DSFqauCli1ZuWrhcix3iml9NFQ2m17OhWrZvOzO9nxsAjDAB3z3iUcosPtjsUwSw8k592MQDRYSwg

l9Mvaax-eCACYYRNH8hXtMX7nEjfwSVHsMR6_RKDMhQGgJv_VPLTRHSxAqWJZXTUjCbU0Pz2f661gXqQAWvNgJoch0qDs35AI1b89kREqJaP_BGK5MLdEY7gyZa3Gv7pPOr91EzEFYgeFrr9EQ, uqGFi3uCbAZ3nUUzCyGQVjKEKzjM2yICQm4v_bS1rpCKMz_MwsNNUXCmjP-IK3DS8E45PZYsrhpVEGVtz-w_yOcI1WJfANZCB0sVHj9gH-Bcf-aPelOX1n69cWKLoKiQu0Kadsg2dNIJ9zigWg

4KwKr2Yvuq-aDFtxnNz_-7UWECRDXD5JFe7YTOetTtZe44A61y_TcpbCyj0LdvOXMAXtLkmhE7WzXAcxiuJc-nvBQPmt1bodjBndKeS6to6UjhwRfhaoNBSZcD7z7H9WpnaEfk4EhVDvLCd1wQ, bUl1enN7zjqlb-EGgWzX-ltBkWJf6PlH6urSUyRUMY1NSOHmX9jEViweoPyc1EraZI-CVXaWRnbfFwaj8rPg5P3nLn2PrW4YTrvmpRZeoZFEu3IIhm0vgTWeCBzxQi-swBAiMg7rv6Nwso5yhg

Giải thích

Đáp án C

Đặt 7QIDaXFIDUr56aausntlkIcloacqKeiydyUyiMZE4EnWdoFqbCaeQMLDxdqsBQNUwpWq-LH_dL1RXGUk6jwpMYt_Z8AC_dPd_dtk90tLgJQryEmorwYzGsl0psgIeWk2JUbZOoiwnjjd9cCMiw khi đó ta có xfn8TxNV1cIcd1cnnlEG7FJXes4lXf_nlOkql159UopsOckpwONGGUmLktjoew5eONLEczuS7cgs0k5u06yIaTGoyeZM0fFa3bvCPf-DmFPm5GHmu5i0u3CL9QQUl8hYQCxlhOKnreQfIXIIng.

Yd_7slPgpFhzfHX9o-mUxUnmFTUK3aoLfI85wh5HGnq2USl9le5lC_HIS4NrZZePRip_tkDclfZ8sXxnC-rpUBquREcGZ-8Cw8qMvPQVeRefkSDrGoY9c0yxXxE_-OZj5AZVTZAmdyPkg5pWUg nên XLHKz8dvC7PSd6AdgD-F17FJFC7DYzWpTpgHOk9pK0JJ_3QADT9tge3q05K13nEqK3cej6dJ8tsm__LvkcR8W0lSdSPifEVF3l9ikbDUdPk5jxcUoC9Yt5w_IsQt-Cde7j8defvG7cWy7q0SBA.

Theo yêu cầu bài toán thì ta có: n0bVQ0wXHje-oEwL4cY5RuQa-XfYk9Xget04nmdB15ibwE9JMntmqiUohP_J9PVF3K_5DFQFpD76EQ9hGpAT5Cm70MWhskHV1K-N9j7OMDYKZRzvmBvGxVzpu5Tex0VTerEOcZNVa2oeQXiSoQ với mọi XLHKz8dvC7PSd6AdgD-F17FJFC7DYzWpTpgHOk9pK0JJ_3QADT9tge3q05K13nEqK3cej6dJ8tsm__LvkcR8W0lSdSPifEVF3l9ikbDUdPk5jxcUoC9Yt5w_IsQt-Cde7j8defvG7cWy7q0SBA và có dấu bằng xảy ra.

Đồ thị hàm số 4wbw_ON0mMNxMSwVPyldNKoIbI5jdxymkKbgeqytpYMAMk7XWWKYLh9jrTjmecaD6GAUpLa5UEM6lY0k6JHkuMUs3tipukbLmW8BpuNyS3d1Y_eLCpx_5-RWn1ueJugtktbgzZCp9N6uNI82PQ là một parabol có bề lõm quay lên trên do đó điều kiện trên dẫn đến hệ điều kiện sau xảy ra :

gPvdQXKfwyku5OQkq9IoffF7IipHQA8cRus-FAEpb1NrnB4itQuTk05HutYHCZr148j7Xb2s_mlywCQiprAcxwnd9-I3_hgrcQrOu7TIUlxtufEx8A0DUNqcTrYv9-PxqsYoqOH3_k1TI2xcYg

Gcy1TccP2ce2ZNanLKK_Hjqla22BAyEOAHxZ-RfrnfGWJLQgA5bS4CxaX1e5UdINMuoLjXdt9YrUGHxzHZb3bhBo5BQTAv8T4N6MKaUT5gO-tzKnJKy60yXeOUvESacrQZwP1CVXiSgfoeahZQ

fjrCsvz7JOYMf7N-5fHkFc_wrkjsKed6MBFz62mjqfwepay7NuCC1XDkS0TRynfJuCSs-L0lVHwRfwbL6dyxBgz58E8vgnoZQVtrWuXabZLAz6bMa3nI5JZgM5MGm0SaoRsLpY-8sQLXk23mTg

Lấy mYOlHxdtXFKOgktB5lk-ThtdWNDJOzXHovpmOhs4YNyldyLQdG2c6gGM6mVFziiVNJKt8sgn5Gp8XkU4v0UBRkH0OsU-tLWlg-wHRo8Y2xttHgVq6LMu3nFCddYZIPEr0nQdyHaivyz2J3FH5A ta có : tIPJBuY7rlnDxpD4N-R1WzEX-GjQi8tQVxbmX0SMEdTiZ-cI1DIG3x-HUO_YkFcQqm1gytJ9Q6x3PEEzHMZoVOkAdNBoFvt-eqAHAOoFtzUb6ekRjOAbcNdMpmJ77dWU3qYHUzzvuLxstWPnsg do đó A_GZU3khOmA8TIasP5GPAm5W0ynnlGcA-CjtpWprXWcjyAJVUlJ5CJpdFYhy3JRgLEQi7d0TM7ObMI7q2ZhcxE0uqbGYemnXXMxmk32lVmyPWodfM7ylf77y8hROn4YPnzV6y8sM00uLMIRuHw.

Lấy VL20ANCTtkqkSDgLBRaXt4iNaOw2QHFc3Vs9ytw5xcCrE1PdlSX6zi6mL8ZmYBtHNUmjBuzzGWv4AibVNiOGkdm4RKn_PbitN1SINYZlYma2oa_vvaqQpJEQwIPK6NckJc8aoucoSWXHKO0yGg ta có : E9xfmqBjNOQt7uIq6-Xu3v7RJZNuW1vVrsr43dGlaJvMEW-IBv--wLHdCaUf-TaeICWcdx98Mi-h1bfxDAqWTWmwD46CP7ypHxUcM5aJNA-Ynq1q0RuzIEzmMDMrucc6lu_iyQVXG4I7R8zlsQ

Suy ra : 6bf-JCAji_6DmK7iaqgXfaxi0BFUEoEaHZ9-IBvsZs8fCAfLnfY9ypVG42J_cEeRGZ4pRDA-Ujl4RiXdBoNuHwUYVQzg4aT2kMnnEhS4e-dMbS5H_v6efa-7yux3t-FStG-ty8dpd9qd81KL_glCqEKxaAMGc8OwCrn66VcDu7OqR9e-zABafa30kWDTt_sK2IineupKOq5rL2nLA_rWrBt_Dob4xNHi4w-3-ep4BAg6BwTR9rMQENfM-wguoT1gln_hrEo7-zvdjm-bDD2kNIq8k6MXHPu3urhQ.

Khi đó ta có DTdndAKYmPJmHsfXJFf_QGn5qOHmPWQWJ9-hLIPmXq3awprj4dpOQjQ0Ne9K5V-zN5LQNoWjlJNRAWNoANL3JaudwNRmbeC8X3o0rL_rw1gwaCdhoE7xNpaVygkvCud1C6jsYcfV01FkH5bBcwBhAo1m6NTerEvNf5dkuMH4BPk4tbLlewUIKDaavqngIv1xCvitD0EOHXovcPQSkVUEHtgqMmaF5UsvaOqzqElTcivAcDPNe9-WMzIHAPmB1548gLXhkCCktQR2hLG3Uv8zsJMmvsfR6s5JtmdQ.

Kiểm tra : yKhmzXEZrHJuOizHAXC51rdvXPVKntyG3V-zyMgdxELGKAnpFwITSsX55VtUMPtWG9Sy9thVV1gLBvDNJog0Ss1l4pJgEhY5XxtE93B5gry30tmWkCjK5xtzG1m5NgRIkcdOzHlKlG8E3FD3ZgqABSicHevN_e3-emHfLlB0SFhzUROyZtpfZ0UbAMLSJwC2ZboUf0c_8jDpOLCh1EWqpda3P_XXkEAt1RM6KAAAZkTrqZkzsAlWjE5oxyz8tuNZBl5o_HworVzj64xrLa_paGAUyoB4bo_aHYKQ

qSDOP2iQj72UNY64lezEYm-TYnhJPKDdFaiBEQ7eu7lXQ3p_NAYSpua1g-16btUeg4XO63ZDKceApRpFKZzC0DyumGJpKO3bDdRa103mPM7mG8sMBa1DgEFhCegpF-IQU5ulZ_q3KlymEAbHeA nên nRPNvPn1R__N_3pCsseOaC6glWkPu8GSHUKK3xFrrerrqEe6KZDhM8lVuazDpeCDKk66GhNEX_tFM8JEyNbY1p96hk8WIsvJO_Gn2tX5-VGN5tvA9ZXP4P38QgHWciZtSw4azKUySUomHkwtigAKc2hlmBMKj2YktqaRxK1AUMFNqauYV5H8SkwFAiHBmxLDB3HyOJOeGGSGJM-79MQ2ELiZhQh0dfFvzq4B_Fuu1_YN3ftxYkoAldIAwR1-UeMFqzEXizSEtevf48i_-Xd1u_abFxb0pv_MHQLQvMv55SQrPV_AGjc-J81mAH6EU5q5mK47NcL3rWCTYwdZJ27lJjl8dgATR3cOuJGkAYHvY3Hjex8Vmgb3fz3_G_apOJPYr0485O__rJZfq2BoeHTXX8OGmFPQ6GVNougWhp2sPzUrLlyny8o0kw.

 

Vậy W0eaV6IgFdOHBAPieFEfoEbzTCCpYSX18HAYNKi4NZBwiya2HRJZWzeE12GdfI0IBozv7Ky6iUWRPSOwQzYA-DFhwxgFx5bjKY2_J-6u9COoii1cWvwQNaFmw7iBUBAn-SjwLhX4o1hd-rYTjA khi A5GfpW5A_8vi8RPl9M8RIknpg0hB6CP3S26g1Uie-soOs63kS1PbGvQ3UFMZXgotn8-8m-qUPtPBBxJKQBdKOMVGjm5EgreDjlpQcsHbIfWTIkxXAcarIXaqHAvwubxHxVieTPKMU8ugM1nKUA (t/m).