This　article　investigates　the　event-triggered　consensus　problem　of　general　linear　multiagent　systems　with　denial-of-service　(DoS)　attacks.　A　distributed　event-triggered　mechanism　is　presented　to　alleviate　the　limited　communication　resources,　the　designed　mechanism　is　fully　distributed　owing　to　the　introduction　of　some　adaptive　parameters.　Moreover,　since　the　DoS　attacks　have　been　considered　in　the　event-triggered　rule　design,　a　switching　strategy　for　the　adaptive　parameters　is　adopted.　A　switching　Lyapunov　function　is　used　to　strictly　demonstrate　that　secure　consensus　can　be　reached　effectively　under　the　proposed　control　mechanism.　The　quantitative　relationship　between　the　frequency　of　the　DoS　attacks　and　the　consensus　is　also　presented.　Moreover,　the　Zeno　behaviour　can　be　excluded　for　the　studied　close-looped　systems.　Finally,　a　numerical　simulation　example　is　given　to　demonstrate　the　validity　of　the　designed　control　law.