我认为我已经找到了更优雅、更不容易出错的解决方案

ScrollView.requestChildRectangleOnScreen

它不涉及数学运算，与其他提出的解决方案相反，它将正确地处理上下滚动。

/**
 * Will scroll the {@code scrollView} to make {@code viewToScroll} visible
 * 
 * @param scrollView parent of {@code scrollableContent}
 * @param scrollableContent a child of {@code scrollView} whitch holds the scrollable content (fills the viewport).
 * @param viewToScroll a child of {@code scrollableContent} to whitch will scroll the the {@code scrollView}
 */
void scrollToView(ScrollView scrollView, ViewGroup scrollableContent, View viewToScroll) {
    Rect viewToScrollRect = new Rect(); //coordinates to scroll to
    viewToScroll.getHitRect(viewToScrollRect); //fills viewToScrollRect with coordinates of viewToScroll relative to its parent (LinearLayout) 
    scrollView.requestChildRectangleOnScreen(scrollableContent, viewToScrollRect, false); //ScrollView will make sure, the given viewToScrollRect is visible
}

如果ScrollView正在被更改，那么将它封装到postDelayed中以使其更加可靠是个好主意

/**
 * Will scroll the {@code scrollView} to make {@code viewToScroll} visible
 * 
 * @param scrollView parent of {@code scrollableContent}
 * @param scrollableContent a child of {@code scrollView} whitch holds the scrollable content (fills the viewport).
 * @param viewToScroll a child of {@code scrollableContent} to whitch will scroll the the {@code scrollView}
 */
private void scrollToView(final ScrollView scrollView, final ViewGroup scrollableContent, final View viewToScroll) {
    long delay = 100; //delay to let finish with possible modifications to ScrollView
    scrollView.postDelayed(new Runnable() {
        public void run() {
            Rect viewToScrollRect = new Rect(); //coordinates to scroll to
            viewToScroll.getHitRect(viewToScrollRect); //fills viewToScrollRect with coordinates of viewToScroll relative to its parent (LinearLayout) 
            scrollView.requestChildRectangleOnScreen(scrollableContent, viewToScrollRect, false); //ScrollView will make sure, the given viewToScrollRect is visible
        }
    }, delay);
}

private final void focusOnView(){
    yourScrollView.post(new Runnable() {
        @Override
        public void run() {
            yourScrollView.scrollTo(0, yourEditText.getBottom());
        }
    });
}

你应该使你的TextView请求焦点:

    mTextView.requestFocus();

scrollView.post(new Runnable() {
    @Override
    public void run() {
        scrollView.smoothScrollTo(0, myTextView.getTop());
    }
});

回答来自我的实际项目。

在我的例子中，这不是EditText，而是googleMap。 它是这样成功工作的。

    private final void focusCenterOnView(final ScrollView scroll, final View view) {
    new Handler().post(new Runnable() {
        @Override
        public void run() {
            int centreX=(int) (view.getX() + view.getWidth()  / 2);
            int centreY= (int) (view.getY() + view.getHeight() / 2);
            scrollView.smoothScrollBy(centreX, centreY);
        }
    });
}

yourScrollView.smoothScrollTo（0， yourEditText.getTop（））;

尽管去做吧;)