Questions & Answers about Die Frau hat eine Idee.
Why is the verb form "hat" instead of "habe"?
The verb haben (to have) changes its form depending on who is doing the having. Because the subject of our sentence is die Frau (the woman), we use the "she" form, which is hat (has). For comparison, "I have" would be ich habe.
Because "haben" takes a direct object, shouldn't "eine" change its ending?
You are right that haben always requires the accusative case for the thing being had. However, the word Idee is a feminine noun. For feminine nouns, the word for "a" or "an" is eine for both the subject (nominative) and the direct object (accusative), so it doesn't visibly change!
Why are the words "Frau" and "Idee" capitalized in the middle of the sentence?
In German, every single noun (a person, place, thing, or concept) must be capitalized, no matter where it appears in a sentence. Since Frau (woman) and Idee (idea) are both nouns, they start with capital letters.
Is the German word "Idee" related to the English word "idea"?
Yes, they are cognates, meaning they share the same origin and mean exactly the same thing. Just be careful with the pronunciation: the double "e" at the end of Idee is pronounced like a long "ay" sound (similar to the English word "hey"), not with an "uh" sound at the end.