Yes, Tryndamere with AP rules !!!!
but not take a lot of AP because you'll ruin yourselve, just a little AP is cool.

AP makes you heal with every Q 1,5 x 1AP , and your E increase 1 PHYSICAL damage x 1 AP, that's the reason i dont take magic penetration in masteries like i've seen in many many tryndameres AP in high elo ranked games...

that flat AP at start gives you unbeliable sustain with your Q and awesome early damage with your E.

first is doran's blade because it makes you powerfull in Tryndamere's most fragile game, EARLY.
from the start, all depends of your first recall.

i use to take Q as my first ability, but if i think they're going to early gank me, i take E to easy escape without flash.

Masteries i take as any ADC but with AP too, but not % AP and Magic pen, because you will not cause magic damage...
the 1 point in defense, can make you live in early fights with minions arround you, don't forget that Minions are OP !!!!!!!!!!!

with Phantom Dancer and Infinity Edge and your pasive you have 90% chance of critical strike (almost 100%)

in late game, you'll have arround 350 base AD, and every mark gives you 10 AD in a critical strike (aprox)

armor seals are a must in solo top (minions are OP)

Lifesteal Quints to make you have endless sustain

Flat AP Glyphs to heal with Q and damage with E

if you're first (or second or third) pick, and u take tryndamere for solo top, they'll counter you easy with Yorick, Elise, Kayle, Jayce, Jax.... HARD, go jungle, u rock !

LAST HIT, seriously, and don't push the lane, you'll get ganked.

use your W to make other fail his last hit and if you see 1 of your Cs with low Hp, go close to him and AA your enemy Champ when he last hit it, but don't do it if you'll loose 1 Cs, it's better to farm than Harras

if you go jungle, start with Wraiths, Red, Golems, Wraiths, Wolves, Blue to your mid (or top in case of a no mana mid such as katarina, kennen...)
and gank if you're almost full Hp, recall, buy, and start ganking

your mision is to focus on enemy's ADC or APC, or both if your team do a nice tf start, you've your ulti, if they focus you, cool, your ADC is happy to kill them all !!!

If your team don't have heavy tanks/initiators (that should not happend), u can jump to them and they focus you, GJ ! ADC happy again.

Remember you can use your ulti if you're stuned, silenced, supressed..... you don't care about CC, you have 5 sec to damage every1 !

Pros:
- Epic sustain with that flat AP (it doubles your Q heal at lvl 1)
- AP give you early E damage (remember is phisical)
- Excelent Late Game Champ
- if countered, u can jungle easy
- easy to learn
- Legendary Skin <3
- 5 secs of ulti that can change tf (did i say can? that ulti always change tf)
- Excelent escape with E + flash (can cross 2 walls)
- Cheap Champ (1350 PI)

Cons:
- Mele
- No ranged abilities, but don't worry, E+W and you're hiting him hard
- Easy countered (u can jungle)
- Other players will say something like "Noob OP Champ"
- Fragil on Early Game