In normal exchange, if I want large position, I would separate my order to 10 orders or more, not to make slippage too high.

In AMM dex, I don’t know that should I do the same as normal exchange or because it’s use x*y=k to calculate to price, so it doesn’t matter how I do, the result will be same or really close.

The optimal strategy is path-dependent. In a universe where liquidity is infinite, you cannot do better than the strategy of executing the whole order in one go for constant product AMMs (fun algebra problem to prove this).

Of course the infinite liquidity assumption is not true, so you would need to look at the current liquidity levels.