We are a species that has sexual dimorphism.
Well, yeah, but except for reproduction, most of the differences are essentially trivial. The differences we see are primarily of social origin, not genetic. It is often pointed out that the differences within each sex have a much greater variance than the differences between the sexes. Male and female humans are much more similar to each other than they are to individuals of the same sex in the closest related species (the "great apes" such as chimps, bonobos and gorillas.
Their is a physical muscle mass difference between the genders to the point that all competitive sports are segregated on purpose to not allow a unfair competitive advantage.
It has been often pointed out that the top North American and European female athletes in many sports currently have better performance statistics than the top males in the same sport 50 or so years ago. This supports the claim that the differences are primarily of social origin, not genetic.
There's a useful example of the difficulty of using sports to excuse sexism: American basketball gives a strong advantage to taller players. This is why the pro teams are all male (and now mostly black ;-). But it also excludes 99% of the male population along with 100% of the females. The sensible thing would be to do like the boxing sport has done: Establish height-specific basketball leagues. This would enlarge the sport, and give us some very good players who now can't play on the pro teams at all. And it would likely show a familiar pattern: After some years, we'd have female basketball players who are as good as their male counterparts of the same height. (This idea isn't at all original with me; others have also suggested it. But the sports "industry" ignores it. ;-)
Both male and female brains have the same parts but after being exposed to a different mix of chemicals are wired differently which result in obvious behavioral differences both conscious and not.
Again, aside from questions involving sexuality, there is little if any evidence that these differences are genetic and not social. Human societies tend to impose radical differences in education from birth. If you want to claim that the observed mental differences are genetic and not social, you can't just make the claim without explaining why they can't be the result of social conditions. And again, the larger variance within each sex than the difference between the sexes argues that the observable differences are only slightly genetic, and mostly caused by different socialization and education.