************************************************************************* 52010 X-ray coronae of Hertzsprung-gap giants are among the hottest known (log T > 7.2); reminiscent of flares on the Sun, or on classical flare stars. Yet, the F0-G1 giants as a group are not noted for transient UV or X-ray outbursts. The paradox (flare-temperature gas, but lack of overt flaring behavior) bears on the nature of coronal heating at the crucial evolutionary juncture where shallow convective envelopes first emerge; the key transition between hot-star and cool-star X-ray activity. ASCA can add unique insight by directly detecting the hottest coronal gas; short-term variability of the multi-keV X-rays; and anomalous coronal abundances. HR9024 (G1 III), an intriguing transition object within the transition class, is a promising target to continue our program. *************************************************************************