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Disclosed is a composite positive electrode active material which contains the following : more than one large diameter active material selected from the group consisting of compounds denoted by chemical formula 1-4; and more than one small diameter active material selected from the group consisting of compounds denoted by chemical formula 5-8. Chemical formula 1 : LixCo1-yMyO2-α Xα ; Chemical formula 2 : LixCo1-y-zNiyMzO2-α Xα ; Chemical formula 3 : LixMn2-yMyO4-α Xα ; Chemical formula 4 : LixCo2-yMyO4-α Xα ; Chemical formula 5 : LiaCo1-bMbO2-α Xα ; Chemical formula 6 : LiaCo1-b-cNibMcO2-α Xα ; Chemical formula 7 : LiaMn2-bMbO4-α Xα ; and Chemical formula 8 : LiaCo2-bMbO4-α Xα .COPYRIGHT KIPO 2014