I’ve been trying to make a single page app using anchors and when trying to work with media queries…
Ben Gummelt

The background-size values of cover and contain are supported in IE9+ and can simplify getting your images to resize as you want them to.

The folks at Mozilla have a nice intro to background images, perhaps that’s of some use.

I use min/max height in media queries occasionally, normally for things like top/bottom padding. I think it’s generally more trouble than it’s worth though.