ASUS A43S laptop wont boot without battery

Hi,I just replace my laptop with new motherboard 2 weeks ago.,and it seem the problem is happening again.

When i turn on the laptop (with only plugged with AC adapter), nothings happen even there's no indicator lights on. But when i attach the battery (without attach to AC adapter), the laptop is turn on normally. Then i tried plug the power adapter back to the laptop, it seem that it doesn't charge the battery. Most weirdly, i pull out the battery (still plugged to the AC adapter), the laptop is running fine.

Really waiting for reply! Thx.