i'm try to do a bitcoin faucet with captcha someone can help
Which script you are using? Mostly faucet scriptss support several captcha options, you need to choose and get keys to enable captcha on your website. Most popular and safest is Google Recaptcha (which are most annoying for users), Solve Media which can be monetized and some less popular captchas like Coinhive proof of work captcha, CaptchMe, RainCaptcha and etc.
There are scripts for that, but seriously, those are no longer lucrative. There is no way google adword will allow faucets nowadays, and that is the most profitable one. Also, since people don't really care about your ads and just want to get the faucet claims, then you won't really get ad conversions, only ad impressions which does not really translate to a lot of earnings.
You also have to consider, that you are going to spend on hosting and also the free bitcoins you are going to give away.
You are right, it's hard to monetize faucets after Google Adsense (not Adwords) banned it few years ago. Nowadays faucet owners forced to use url shorteners and popups to monetize faucet.
But after all you can expect only minimal profit from faucet, it's more likely that you will loose money instead of making profit.
you can use faucetfly to make bitcoin faucet
No no no! Avoid faucetfly if you want to get users. If you need free hosted faucet, you can use Faucethero.com instead.