Oracle native out join syntax learned

One more out join syntax (+) observed.

Setup

drop table t1 purge;
drop table t2 purge;
drop table t3 purge;
create table t1 (id number);
create table t2 (id number);
create table t3 (id number);
insert into t1(id) select rownum from dual connect by level <= 3;
insert into t2(id) select rownum from dual connect by level <= 2;
insert into t3(id) select rownum from dual connect by level <= 1;
commit;

select t1.id t1_id, t2.id t2_id
from t2,t1
where t1.id = t2.id(+)
and (t2.id= 1 or t2.id is null)
--and t2.id(+) = 1
order by t1.id;

  T1_ID T2_ID
------- ----------
  1     1
  3

Here is a new syntax I learned last week.
The output is strange.

select t1.id t1_id, t2.id t2_id
from t2,t1
where t1.id = t2.id(+)
and t2.id(+) = 1
order by t1.id;

  T1_ID T2_ID
------- ----------
  1     1
  2
  3