Palestinian militants sent a deadly barrage of missiles flying deep into Israel on Monday, demonstrating that Hamas still had firepower three days into Israel’s punishing air offensive in Gaza. Three Israelis were killed and two seriously wounded. Palestinian health officials put the three-day death toll in Gaza at 364; the U.N. said the total included at least 62 civilians.

In Monday’s attacks, Israel focused its bombing on the houses of Hamas field operatives in a campaign meant to tear at the roots of the extremist group ruling Gaza. Israel’s defense minister promised a “war to the bitter end against Hamas” and allied militants.

Intensified rocket strikes by Gaza militants, which triggered the Israeli offensive, have revealed the expanding range of missiles that are making larger cities farther inside Israel vulnerable.

In a barrage Monday night, a missile crashed into a bus stop in Ashdod, 23 miles from the Gaza Strip. A woman died and two others were wounded, one seriously — the first casualties in the city of 190,000 residents.

Israel’s offensive has rattled the Middle East and capitals around the world, triggering street protests and fiery speeches by adversaries of Israel like the militant group Hezbollah in Lebanon. In the day’s biggest outpouring of anger, tens of thousands of Hezbollah’s supporters stood in a pouring rain in a Beirut square to condemn Israel.

Stone-throwing clashes broke out in about a half-dozen spots in the Palestinians’ West Bank territory as well as in several Arab-populated areas inside Israel. Israeli police and soldiers fired rubber bullets and tear gas at rioting youths, but it did not appear anyone was injured.

U.N. Secretary-General Ban Ki-moon condemned Israel’s offensive as excessive and demanded an immediate cease-fire. He said key international and regional players — including foreign ministers of the Arab League nations holding an emergency meeting Wednesday — must “act swiftly and decisively to bring an early end to this impasse.”