〜かのように
as if (though it isn't so)
Plain form + かのように / かのようだ / かのような + Noun
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かのように describes something as if it were true, when it isn't: 彼は何も知らないかのように、平気な顔をしている, "he's acting calm, as if he knew nothing". The speaker knows, or suspects, that he does know.
It's often introduced with まるで ("just like"): まるで夢を見ているかのようだ, "it's as if I'm dreaming".
At the end of a sentence it's かのようだ; before a noun, かのような: 春が来たかのような暖かさ, "warmth as if spring had arrived".
Compare ように and ようだ (N4), which describe a likeness or an impression. The か adds a clear sense of "though it isn't really so". Nouns take である: 自分の家であるかのように.
Examples
彼は何も知らないかのように、平気な顔をしている。
He's acting calm, as if he knew nothing about it.
まるで夢を見ているかのようだ。
It's as if I'm dreaming.
彼女は何もなかったかのように笑った。
She laughed as if nothing had happened.
春が来たかのような暖かさだ。
It's so warm it feels as if spring has arrived.
彼はまるで自分の家であるかのように振る舞った。
He behaved as if it were his own house.