1 . A non-aqueous electrolyte secondary battery, comprising:
a positive electrode including a positive electrode active material; a negative electrode; and a non-aqueous electrolyte, wherein the positive electrode includes: a lithium-transition metal composite oxide (A) having a median diameter on a volumetric basis (D50) of 0.6 μm to 3 μm and being a secondary particle formed by aggregation of primary particles having an average particle diameter of 0.5 μm or larger or being composed of substantially single particles; and a lithium-transition metal composite oxide (B) having a median diameter on a volumetric basis (D50) of 6 μm to 25 μm and being a secondary particle formed by aggregation of primary particles having an average particle diameter of 0.3 μm or smaller, as the positive electrode active material; the lithium-transition metal composite oxide (A) contains 65 mol % or more of Ni based on a total number of moles of metal elements excluding Li; the lithium-transition metal composite oxide (B) contains 70 mol % or more of Ni based on a total number of moles of metal elements excluding Li, and boron is present at least on a particle surface of the oxide; and in the lithium-transition metal composite oxide (B), when particles having a particle diameter larger than a 70% particle diameter (D70) on a volumetric basis are defined as first particles, and particles having a particle diameter smaller than a 30% particle diameter (D30) on a volumetric basis are defined as second particles, a mole fraction of boron based on a total number of moles of metal elements excluding Li in the first particles (B 1 ) is larger than a mole fraction of boron based on a total number of moles of metal elements excluding Li in the second particles (B 2 ).
2 . The non-aqueous electrolyte secondary battery according to claim 1 , wherein a content rate of the lithium-transition metal composite oxide (A) based on a mass of the positive electrode active material is 20 to 55 mass %.
3 . The non-aqueous electrolyte secondary battery according to claim 1 , wherein a coverage of each of surfaces of the first particles and the second particles with boron is 70% or less.
4 . The non-aqueous electrolyte secondary battery according to claim 1 , wherein the lithium-transition metal composite oxide (A) is a composite oxide represented by the general formula Li a Ni b Co c Mn d B e O f , wherein 0.8≤a≤1.2, b≥0.70, c≤0.10, 0.03≤d≤0.12, 0.001≤e≤0.05, 1≤f≤2, and b+c+d+e=1.
5 . The non-aqueous electrolyte secondary battery according to claim 1 , wherein the lithium-transition metal composite oxide (B) is a composite oxide represented by the general formula Li a Ni b Co c Mn d B e O f , wherein 0.8≤a≤1.2, b≥0.70, c≤0.10, 0.03≤d≤0.12, 0.001≤e≤0.05, 1≤f≤2, and b+c+d+e=1.