Zugspitze

Mentioned for the first time in 1590 as "der Zugspitz". First recorded ascent in 1820.
On the Zugspitze summit are the "Münchner Haus" and a weather station (Fraunhofer Institute for Atmospheric Environmental Research)

Bayerische Zugspitzbahn: In 75 minutes with the cogwheel train from Garmisch-Partenkirchen to the summit
Glacier ski area from November to May
Cable car from Ehrwald (Tyrol) and Grainau

Reference: Munich Tourist Office