If quebec becomes independent from canada, does that mean it's officially part of france?

No.

why would Quebec be part of France? If they separate, they will become a country and eventually slide down to become a third world country

Quebec is different from France and is not part of France.

no. quebec would become its own country

Quebec is completely broken off from France and even united with the British because the British promised Quebec they could keep their own civil code and Catholic religion. Quebec is an entirely separate French-speaking society from mainland France and they are as separated as England and the USA. The issue is about whether they should have self-rule but I think it looks like they are going to stay with Canada for the time being because Canada's economy is keeping them afloat.

No, because Quebec is not a territory of France. Quebecois for all it's worth would still be Canadians (even Gilles Duceppe said that Quebecois were the original Canadians.) So they would be seperated from Canada, yet tied to Canada in every single way possible.

Not even close. The Quebec-France connections were broken even before the USA-United Kingdom ones were. They speak a similar language (both called French), but that's about it.

Quebec's goal in separating from Canada is self-determination and self-government. Why on earth would you think they would become part of France again? Not exactly clear on the word "independent" it appears. When Czechoslovakia decided to split their country in two in 1993, they did not go back to being part of USSR or Austria or Hungary. Each part became their own independent country, one named the Czech Republic, the other called Slovakia. In general, when a country is divided up and each part becomes its own state, they operate completely apart from each other. Each one has to form its own government, make its own laws, maintain its own security forces like national police, customs officials, etc. While France does remain a good friend of the Canadian people and Quebec would likely continue that relationship, it is highly unlikely that after getting out from one union (Canada), Quebec would then choose to become a province to a country that is on a completely different continent and that we share very little similarities with, except for language.

No, it simply means it will no longer be part of Canada and the residents will no longer be Canadian citizens. Will it petition to become a french colony? Who knows. It's highly unlikely, but one can never predict when it comes to politics.