a mother with type A+ blood and her daughter has type O-, can the mother give her daughter blood?

No, people with bloodtype O have antibodies for blood types A, B and AB. They can give, but not receive from other blood types.

no the daughter is missing Rh factor see wiki blood types

The daughter can donate to the mother, but the mother cannot donate to the daughter.

Type O blood has no antigens on the surface of the blood cells, so they will not be attacked by the antibodies of the receiver. However, type A blood has type A antigen on the blood cells, and type O people have antibody a in their blood. The antibody in a type O recipient will cause donated A blood to coagulate. Same with the Rhesus factor, positive blood will be coagulated by negative donors.

No.  Since the daughter is O,Rh-, she could possibly have a serious reaction to the A+ blood.  The daughter should receive O, Rh- blood.  Once she has been exposed to Rh+ blood, she could produce anti-Rh antibodies if she becomes pregnant with an Rh+ embryo.  The antibodies could kill the baby.

learn like this,
A can give to B and AB

B ca give to B and AB

AB can only give to AB

O can give to all.

No, that wouldn't work.  

In a highly simplified sense, you can think of A blood as having A markers on the surfaces of the cells.  B blood has B markers, and AB blood has both.  Type O blood doesn't have these markers.  The same is true of Rh+ and -.  If you're +, you have the Rh marker, if you're - you don't.

Your immune system can see these markers, and if it detects a foreign one, it will attack the cell.  This is what causes problems if you have a blood type mismatch in a transfusion.

The mother has type A+ blood.  This means that her body is used to the type A and Rh markers, and won't attack.  Since the daughter is O-, it means she doesn't have the markers - since her body isn't used to them, it will recognize the mother's blood as foreign and attack it.

You can flip it around, though.  The daughter doesn't have the markers on her blood cells, so there is nothing for her mother's immune system to detect.  You could transfuse the daughter's blood over to the mother without an immune reaction.  This is why O- is the universal donor - anyone can receive Type O- blood, since there are no markers on the surfaces of the cells to trigger a reaction.  The down side is that since their body isn't used to any markers being there, they can only receive type O- blood.

Type AB+ is the universal acceptor.  They have all the markers on their cells, so their bodies are already used to whatever they might get in a transfusion.  They can receive type O blood, since there are no markers on it to react to.  They can receive type A blood, since they're already used to the A marker, and the same is true of B and AB.  They can only donate their blood to other AB+ people, though (if AB were given to a type A person, then their body would react to the B marker, for example).

This is a gross oversimplification, and there are other markers on blood cells, but it illustrates the basic point.

The mother's blood would cause a reaction with the daughters blood.  The daughter can donate to the mother because her blood does not have any of the antigens that identify blood type.  The O- blood type is called the universal donor.  She can donate to anybody safely.  A+ blood can only donate to another A+ or AB+ recipient.