Jean, your observation prompted me to think of Hebrews 2.
First, we see he is a king, God put "all things in subjection under his feet." (2:8)
But he is a suffering king, made lower than angels for the purpose of dying for man. (2:9)
In this role he is a direct mediator, standing before God "not ashamed to call them, brethren" and declaring God's name "unto my brethren..." (2:11-12)
And finally, he is a "merciful and faithful high priest in things pertaining to God, to make reconciliation for the sins of the people." (2:17)
Christ the king stands before God and says "these are my people," "you gave them to me and I present them to you."
In essence, this King declares to the righteous God that the faithful are his brothers (and sisters). He also declares (reveals) God to these same people--a two-way mediation. All of this is joined with his acknowledgement of that ancient covenant of works, which he pays with his own body and work, taking the children God had given him into the Holy presence of God.