不太明白你说的“类似”是指哪方面的类似。下面这些符合你的要求吗？

1. on the alert 警戒着，随时准备着，密切注意着

The government has put the army on the alert. 政府已命陆军进入战斗准备。

Police warned the public to be on the alert for suspected terrorists. 警方警告群众警惕涉嫌的恐怖分子。

2. on the average 按平均值，通常

On the average he works eight hours a day. 他平均每工作八小时。

He smokes 20 cigarettes a day on the average. 他平均每天要抽20支烟。

On the average, male babies weigh more at birth than female ones. 一般说来男婴出生时比女婴重。

3. on the contrary 正相反

It doesn’t seem ugly to me; on the contrary, I think it’s rather beautiful. 我觉得它并不丑，恰恰相反，它挺美。

The situation hasn’t improved—on the contrary, it’s getting worse. 情况没有改善，反而恶化了。

The boy is not foolish. On the contrary, I think he is very clever. 这孩子不愚蠢，相反我认为他很聪明。

4. on the quiet 秘密地，私下地

Just remember that whatever I tell you is on the quiet 要记住，我跟你说的任何事情都不能告诉别人。 

Well, just on the quiet, she’s actually leaving her job next month. Don’t tell anyone, will you? 其实她正悄悄地准备下个月就离职。别告诉任何人，好吗? 

5. on the sly 秘密地，偷偷地

Some boys smoke on the sly. 有些男孩偷偷地吸烟。

The couple was meeting on the sly so their parents would not know. 这两人偷偷地会面，所以他们的父母亲不知道。