We report on systematic evolutions of antiferromagnetic (AFM) spin fluctuations and unconventional superconductivity (SC) in heavy-fermion (HF) compounds CeRhIrIn via In nuclear-quadrupole-resonance (NQR) experiment. The measurements of nuclear spin-lattice relaxation rate have revealed the marked development of AFM spin fluctuations as a consequence of approaching an AFM ordered state with increasing Rh content. Concomitantly the superconducting transition temperature and the energy gap increase drastically from $T_{\rm c} = 0.42\Delta_0/k_{\rm B}T_{\rm c} = 55T{\rm c} = 1.22\Delta_0/k_{\rm B}T_{\rm c} = 8.3$ in CeRhIrIn, respectively. The present work suggests that the AFM spin fluctuations in close proximity to the AFM quantum critical point are indeed responsible for the onset of strong-coupling unconventional SC with the line node in the gap function in HF compounds.

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