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【简答题】
如图，P是抛物线C：x 2 =2y上一点，F为抛物线的焦点，直线l过点P且与抛物线交于另一点Q，已知P（x 1 ，y 1 ），Q（x 2 ，y 2 ）． （1）若l经过点F，长|PQ|的最小值； （2）设直线l：y=kx+b（k≠0，b≠0）与x轴交于点S，与y轴交于点T ①求证： |ST| |SP| + |ST| |SQ| =|b|( 1 y 1 + 1 y 2 ) ②求 |ST| |SP| + |ST| |SQ| 的取值范围．
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