Traditional piano teaching usually focuses on students’ mastery of music skills and music theory, but neglects the cultivation of students’ musical expression and creativity. In this paper, the multiple intelligence theory is used as the guiding theory, and the multiple hybrid teaching model of the piano course is established by combining the flipped classroom. The Fuzzy-CDF model is introduced to quantify students’ piano music cognitive level, the Apriori algorithm is used to generate piano music knowledge point sequences, and multiple algorithms are used to collaborate on personalized recommendations of piano music knowledge resources for students. For the application effect of the piano music multivariate hybrid teaching model established in this paper, a teaching experiment was conducted to analyze it with H Music Academy as an example. The results show that the combined ability of song arrangement and playing and singing of the experimental class improved by 9.74 and 11.10 points respectively compared with the performance of the control class, and the average value of the difference between the pre-and post-tests of the experimental class’s note recognition ability compared with that of the control class reached 5.8 points. The application of Multiple Intelligences Theory can stimulate the individual’s sensitivity to timbre, pitch, and meter, fully enhance students’ musical expression and creativity, and make piano learning more effective.