Roy Let's look at 'cross' and 'across'. 'Cross' is a verb meaning 'go from one side of something to another'. It is often used to talk about places with clear sides, such as a road, or a start and end point, such as a bridge. 'Across' is an adverb with a similar meaning to 'cross', 'from one side to another'. But because it's an adverb, it needs to be used with a verb, normally a verb of movement.
Roy Yes. 'Across' can also be used as a preposition meaning 'on the opposite side' or 'in every part of a space or place', such as a country. None of the other words are used in this way.
Roy Yes. 'Crosswise' can be an adverb that means 'in the shape of a cross'. It is used to talk about 'crossing something diagonally or at a 90-degree angle' and is normally used when talking about making a cut. However, 'crosswise' is not very common, and it would be more natural to say 'in the shape of a cross' or 'cut across'.
Jiaying “Crosswise” 可以作副词,含义和名词 “cross” 有关,表示 “交叉地” 或 “垂直穿过地,斜穿地”。我们更常用 “in the shape of a cross” 这样的搭配来表达 “crosswise” 的意思。请大家听两个例句。
Examples I've marked where I live with a cross on the map. (我在地图上用叉号标出了我住的地方。)
Cut the vegetables crosswise, and then place them on the plate. (把蔬菜横着切开,然后放在盘子里。)
Roy Finally, let's look at 'intersect'. 'Intersect' is a verb used to talk about things like lines, roads and paths which overlap each other. As an alternative to 'intersect', you could say the two lines 'cross each other'. 'Intersect' can also mean divide a space into smaller areas by crossing it with lines.