What is a mechanism of providing Merkle Path? In the Bitcoin, SPV node can query that its transaction is included specific block to full node that provides merkle path which has super fast calculation.

In terms of full nodes, they have full-ledger and merkle tree that is consist of transaction tree. so they can find some transaction queried by SPV node(light node) but my question is that how they can efficiently find it?

They may dislike compute to find transaction if they have to sequence search because they are busy to find hash value of block to earn block reward.

Sorry for my English.
They may dislike compute to find transaction if they have to sequence search because they are busy to find hash value of block to earn block reward


You are confusing mining with node operation. 

It is a full node on the network that will return info about the relevant merkle path to the SPV wallet. 

Mining is done separately, by specialized hardware that is built to only be extremely efficient at hashing to find a new block. The mining hardware will be connected to a full node, so that it can obtain the relevant info to build new block templates. But the two computations are done on separate hardware, in parallel. 

So even if a miner’s node was the one to serve the merkle path info, it would not take away from their mining time.