傷害計算器

公式參考 · ARAM 大亂鬥 · 對 100 物防 / 50 魔防基準

出裝計算器

攻擊者

等級9

目標

等級9

裝備配置

選擇攻擊者和目標來計算傷害

公式參考

Physical Damage Pipeline

↗ wiki.leagueoflegends.com/en-us/Damage

Pre-mitigation

Base AD × crit_multiplier

Armor mitigation

damage × 100 / (100 + effectiveArmor)

Effective armor

(targetArmor × (1 − %pen)) − lethalitymin 0

Magic Damage Pipeline

↗ wiki.leagueoflegends.com/en-us/Damage

Pre-mitigation

AP × ability_ratioratio varies per spell

MR mitigation

damage × 100 / (100 + effectiveMR)

Effective MR

(targetMR × (1 − %magic pen)) − flat magic penmin 0

Critical Strike

↗ wiki.leagueoflegends.com/en-us/Critical_strike

Auto-attack crit

2.0 + Σ bonus_crit_damagebase 200% since v26.01

Ability crit

1.45 + Σ bonus_crit_damageJeweled Gauntlet / Vulnerability

Bonus crit stacking

additive between items/augments

Average auto damage

AD × (1 + critChance × (critMod − 1))

Crit chance cap

100%

Damage Amplification

↗ wiki.leagueoflegends.com/en-us/Damage

Stacking rule

所有來源之間相乘

Formula

total = base × Π (1 + amp_i)

Example

20% + 20% = 1.20 × 1.20 = 1.44×not 1.40×

巨人殺手 — scales with target bonus HP (>1750)

Infernal Might — flat AP additive with items, not a multiplier

Armor Penetration Order

↗ wiki.leagueoflegends.com/en-us/Armor_penetration

1.Flat armor reduction— from abilities (can go below 0)
2.% armor reduction— e.g. Black Cleaver — stacks multiplicatively
3.% armor penetration— e.g. Lord Dominik's — multiplicative
4.Lethality (flat pen)— 1:1 since v14.1, applied last — min 0

Magic Penetration Order

↗ wiki.leagueoflegends.com/en-us/Magic_penetration

1.Flat MR reduction— from abilities (can go below 0)
2.% MR reduction— stacks multiplicatively between sources
3.% magic penetration— e.g. Cryptbloom — multiplicative
4.Flat magic penetration— e.g. Sorcerer's Shoes — applied last, min 0

Healing: Life steal → basic attacks only. Omnivamp → all damage (33% for AoE/periodic).

Damage Types

↗ wiki.leagueoflegends.com/en-us/Damage

物理 — mitigated by armor

魔法 — mitigated by magic resistance

True — bypasses all resistances; still blocked by shields & invulnerability

Raw — bypasses resistances AND shields; only blocked by invulnerability

Special Interactions

↗ wiki.leagueoflegends.com/en-us/Damage

寶石手套 / 見縫插針 — abilities crit at 145% base (not 200%). Bonus crit damage additive on top.

True — unaffected by pen or reduction; damage amp DOES apply.

巨人殺手 — bonus damage vs high-HP targets; multiplicative with other amp.

依類型分類的增幅裝置互動

從增幅裝置描述解析 · 0 個增幅裝置有傷害相關效果 · 同階依勝率排序

AD Items · Physical Damage Profile vs 100 Armor

Eff AD = AD × 100/(100+armor) · Crit Hit = Eff AD × (2.0+bonus_crit) · Avg × = weighted by crit chance · Armor pen order: %pen first, then lethality

Item	AD	Crit%	+Crit%	Leth	Pen%	Eff AD	Crit Hit	Avg ×
黃金鍋鏟	90	25%	—	—	—	45.0	90.0	1.25×
黃金鍋鏟	90	15%	—	—	—	45.0	90.0	1.15×
無盡之刃	75	25%	+30%	—	—	37.5	86.3	1.32×
嗜血者	70	—	—	—	—	35.0	70.0	1.00×
狂怒九頭蛇	70	—	—	—	—	35.0	70.0	1.00×
海克斯閃電夥伴	70	—	—	—	—	35.0	70.0	1.00×
御血之盔	70	—	—	—	—	35.0	70.0	1.00×
暮光之刃	70	—	—	—	—	35.0	70.0	1.00×
電流旋風劍	60	—	—	20	—	33.3	66.7	1.00×
潛行者之爪	60	—	—	20	—	33.3	66.7	1.00×
狂風之力	65	25%	—	—	—	32.5	65.0	1.25×
弒君	60	—	—	15	—	32.4	64.9	1.00×
席利妲咒怨	50	—	—	—	40%	31.3	62.5	1.00×
妖夢鬼刀	55	—	—	22	—	30.9	61.8	1.00×
巨蛇鋒牙	55	—	—	19	—	30.4	60.8	1.00×
死亡之舞	60	—	—	—	—	30.0	60.0	1.00×
無盡飢渴	60	—	—	—	—	30.0	60.0	1.00×
星蝕	60	—	—	—	—	30.0	60.0	1.00×
鬼使彎刀	60	—	—	—	—	30.0	60.0	1.00×
暮色黑刃	50	—	—	20	—	27.8	55.6	1.00×
不朽盾弓	55	25%	—	—	—	27.5	55.0	1.25×
海克斯光學C44	55	25%	—	—	—	27.5	55.0	1.25×
飲血戰錘	55	—	—	—	—	27.5	55.0	1.00×
轟鳴	55	—	—	—	—	27.5	55.0	1.00×
聖裂之杖	55	—	—	—	—	27.5	55.0	1.00×
守護天使	55	—	—	—	—	27.5	55.0	1.00×
瀆神九頭蛇	50	—	—	18	—	27.5	54.9	1.00×
傲慢	50	—	—	18	—	27.5	54.9	1.00×
機會	50	—	—	15	—	27.0	54.1	1.00×
蒐集者	50	25%	—	10	—	26.3	52.6	1.25×
奪魄之鐮	50	25%	—	—	—	25.0	50.0	1.25×
狂暴利刃	50	25%	—	—	—	25.0	50.0	1.25×
魔提斯深淵	50	—	—	—	—	25.0	50.0	1.00×
海妖殺手	50	—	—	—	—	25.0	50.0	1.00×
公理弧刃	45	—	—	18	—	24.7	49.5	1.00×
夜色緣界	45	—	—	14	—	24.2	48.4	1.00×
斷筋	45	25%	—	—	—	22.5	45.0	1.25×
水星彎刀	45	—	—	—	—	22.5	45.0	1.00×
雲陶狂箭	45	—	—	—	—	22.5	45.0	1.00×
生化龐克鏈鋸之劍	45	—	—	—	—	22.5	45.0	1.00×
海克斯科技槍刃	45	—	—	—	—	22.5	45.0	1.00×
史提克彈簧刀	45	—	—	—	—	22.5	45.0	1.00×
三相之力	40	—	—	—	—	20.0	40.0	1.00×
泰坦九頭蛇	40	—	—	—	—	20.0	40.0	1.00×
步履破壞者	40	—	—	—	—	20.0	40.0	1.00×
精進之矛	40	—	—	—	—	20.0	40.0	1.00×
突破天際	40	—	—	—	—	20.0	40.0	1.00×
黑色切割者	40	—	—	—	—	20.0	40.0	1.00×
實驗型海克斯板甲	40	—	—	—	—	20.0	40.0	1.00×
破船戰斧	40	—	—	—	—	20.0	40.0	1.00×
魔劍正宗	40	—	—	—	—	20.0	40.0	1.00×
狂霸血甲	40	—	—	—	—	20.0	40.0	1.00×
暴風之劍	40	—	—	—	—	20.0	40.0	1.00×
多明尼克的問候	30	25%	—	—	40%	18.8	37.5	1.25×
致死宣告	30	25%	—	—	30%	17.6	35.3	1.25×
殞落王者之劍	30	—	—	—	—	15.0	30.0	1.00×
臨界點	30	—	—	—	—	15.0	30.0	1.00×

57 Mayhem AD items · champion base stats and multi-item stacking not yet modelled

AP Items · Magic Damage Profile vs 50 MR

Magic Mult = 100/(100+effectiveMR) · Eff AP = AP × MagicMult · Actual damage = AP × ability_ratio × MagicMult (ratios vary per champion spell)

Item	AP	MPen%	Flat Pen	Eff MR	Magic Mult	Eff AP
烏莉特的法帽	300	—	—	50.0	66.7%	200.0
黃金鍋鏟	125	—	—	50.0	66.7%	83.3
黃金鍋鏟	110	—	—	50.0	66.7%	73.3
雷霆風暴	90	—	15	35.0	74.1%	66.7
永寒之霜	100	—	—	50.0	66.7%	66.7
暮光之刃	100	—	—	50.0	66.7%	66.7
爆發晶球	90	—	12	38.0	72.5%	65.2
黯影之炎	90	—	10	40.0	71.4%	64.3
海克斯科技火箭腰帶	95	—	—	50.0	66.7%	63.3
時現者	90	—	—	50.0	66.7%	60.0
海克斯科技槍刃	90	—	—	50.0	66.7%	60.0
黑魔禁書	90	—	—	50.0	66.7%	60.0
闇夜收割者	90	—	—	50.0	66.7%	60.0
視界專注	90	—	—	50.0	66.7%	60.0
盧登回音	85	—	—	50.0	66.7%	56.7
殘破王后之冠	85	—	—	50.0	66.7%	56.7
月光魔劍	85	—	—	50.0	66.7%	56.7
中婭沙漏	80	—	—	50.0	66.7%	53.3
女妖面紗	80	—	—	50.0	66.7%	53.3
巫妖之禍	80	—	—	50.0	66.7%	53.3
血紅贈禮	80	—	—	50.0	66.7%	53.3
惡魔之擁	80	—	—	50.0	66.7%	53.3
現實裂痕	80	—	—	50.0	66.7%	53.3
符文雕刻者	80	—	—	50.0	66.7%	53.3
殘忍	80	—	—	50.0	66.7%	53.3
虛空之杖	65	40%	—	30.0	76.9%	50.0
納什之牙	70	—	—	50.0	66.7%	46.7
大天使之杖	70	—	—	50.0	66.7%	46.7
支配寶匣	70	—	—	50.0	66.7%	46.7
幻焰之誓	70	—	—	50.0	66.7%	46.7
惡意	70	—	—	50.0	66.7%	46.7
死墓之花	60	30%	—	35.0	74.1%	44.4
死亡之帽	65	—	—	50.0	66.7%	43.3
星河馳騁	65	—	—	50.0	66.7%	43.3
蘇瑞亞的戰歌	65	—	—	50.0	66.7%	43.3
帝王命令	65	—	—	50.0	66.7%	43.3
流水之杖	65	—	—	50.0	66.7%	43.3
暮夜與黎明	60	—	—	50.0	66.7%	40.0
峽谷製造者	60	—	—	50.0	66.7%	40.0
黑焰火炬	60	—	—	50.0	66.7%	40.0
瑞萊的冰晶節杖	60	—	—	50.0	66.7%	40.0
時光之杖	60	—	—	50.0	66.7%	40.0
熾灼魔器	55	—	—	50.0	66.7%	36.7
保衛者冰玉	55	—	—	50.0	66.7%	36.7
黎安卓的苦楚	50	—	—	50.0	66.7%	33.3
破曉之核	50	—	—	50.0	66.7%	33.3
史提克彈簧刀	45	—	—	50.0	66.7%	30.0
希利亞的迴響	40	—	—	50.0	66.7%	26.7
月之石再生裝置	35	—	—	50.0	66.7%	23.3
破曉綻放之劍	35	—	—	50.0	66.7%	23.3
贖罪神石	30	—	—	50.0	66.7%	20.0

51 Mayhem AP items · ability ratios, champion base stats, and multi-item stacking not yet modelled