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已知[tex=13.0x1.643]IXy1cwHsI3qVje2iLq8UFwN926qt5yI1pk7O5D+AIsAN3jsCfWa3gnFlw0uRlsQP4mqYVAixZITRXJdeErLRgQ==[/tex],求[tex=2.786x1.357]eWdlhSDnEKsnC2m9ymU17w==[/tex].

已知[tex=13.0x1.643]IXy1cwHsI3qVje2iLq8UFwN926qt5yI1pk7O5D+AIsAN3jsCfWa3gnFlw0uRlsQP4mqYVAixZITRXJdeErLRgQ==[/tex],求[tex=2.786x1.357]eWdlhSDnEKsnC2m9ymU17w==[/tex].

发布时间:2025-12-22 02:05:50
推荐参考答案 ( 由 题搜搜 官方老师解答 )
答案:解法一 利用换元法,令[tex=6.786x1.143]293mVs8Sx1XZvHZc/JtLiPU3AJmD4ysaKmuGti8NJ7A=[/tex],解得[tex=10.5x2.357]Gx7q6oNm7XFMEJEHvrAcf+8YAiAaU8GWQiyBUnjoj2loxJ7Fh5k5JRdsaHN+Cmzk[/tex],于是[tex=25.571x3.357]V2B/aDhIZzfTHC3CWbBi2chVuqU7NyWKV01+WlnqTHdXcs/+PzEBXpgZ5G2k61uf860xXDBGs/E/opCM+LNUqEK2cDRHQhWLRqWC+crZOkYlAt9Gw6JS6cuHvouQz2U7o/21SZ1KeJhwX6HRbCw9ZoW6GVmHY0zsR3Yjkz3VSnmYuG55Bh5jnliLRuB5uXgHimojxTK3JRb7osQC235Vv0wmRTJ69FXFM3tQT3Vuka07jmzJB/rQ/SGvuME7R1Qz[/tex].所以,[tex=8.714x1.571]3hRmRrUJOhe4GuvitGjZ3BIapsvwgnn7+S9OLJvj+gnpO4eItrqqh0gVQ8wGdy4m[/tex]解法二 凑特征法,设法将[tex=6.786x1.643]VodfKjZlUhBJad2TBo3dbpbnBU9Edc85qjrVS+H/jC47KXLcG3Kiok6UmWlQrxFbTrSF+QW9llpxYznN/V/9Iw==[/tex]表示为[tex=1.857x1.143]hAtjqC/DBQPRoC1/fNIY/A==[/tex]和[tex=1.857x1.143]F1cJ1nqOlAy0cggT/9F5lQ==[/tex]的函数.由于[tex=19.714x1.643]VodfKjZlUhBJad2TBo3dbpbnBU9Edc85qjrVS+H/jC4oVNZpIxU4sucH/DLVDwBcdk/LE6JzwFa/x98Xe2ScLn8C5wkuZ4g1EuXZBEn5967b6vK9EhDdO6f8qCZduFX+okLL0CS5TfMI6UVvBQ6D+w==[/tex],将[tex=1.857x1.143]hAtjqC/DBQPRoC1/fNIY/A==[/tex]和[tex=1.857x1.143]F1cJ1nqOlAy0cggT/9F5lQ==[/tex]分别以[tex=0.571x0.786]ZSLOI4fiO1oAbVC5M8IVkA==[/tex]和[tex=0.5x1.0]2tEhsQT7NQ6+A9wOxtVs5g==[/tex]代换,得[tex=8.714x1.571]3hRmRrUJOhe4GuvitGjZ3BIapsvwgnn7+S9OLJvj+gnpO4eItrqqh0gVQ8wGdy4m[/tex].
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