docs(wiki): 赛题生成工具设计 + 实现计划

design: synthesizer + factory + CLI 三模块架构
plan: 9 个 Task（前置修复 + synthesizer 4 步 + factory + CLI generate/calibrate + re-export）
calibrate: Fisher exact test 组合判定替代固定阈值

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

research-wiki/index.md

@@ -1,8 +1,8 @@
 # Research Wiki 索引
 
-> 自动生成，更新时间：2026-07-09 04:38 UTC
+> 自动生成，更新时间：2026-07-09 09:05 UTC
 
-## design (11)
+## design (13)
 - [2026-07-06-core-agent-adapters-llm-design](designs/2026-07-06-core-agent-adapters-llm-design.md) `design:2026-07-06-core-agent-adapters-llm-design`
 - [2026-07-07-app-harness-design](designs/2026-07-07-app-harness-design.md) `design:2026-07-07-app-harness-design`
 - [2026-07-07-core-evolution-design](designs/2026-07-07-core-evolution-design.md) `design:2026-07-07-core-evolution-design`
@@ -14,13 +14,16 @@
 - [建树模块竖切设计：数据结构 + 建树 + 修复 + 迁移](designs/tree-module-vertical-slice.md) `design:tree-module-vertical-slice`
 - [搜索 Agent 装配层设计（app/search/）](designs/2026-07-07-search-module-design.md) `design:2026-07-07-search-module-design`
 - [论文主图：Self-Evolving Search Agent 推理训练闭环](designs/paper-main-figure.md) `design:paper-main-figure`
+- [赛题生成工具设计](designs/question-gen-synth.md) `design:question-gen-synth`
+- [赛题生成工具设计（Question Generation Synthesis）](designs/2026-07-09-question-gen-synth-design.md) `design:2026-07-09-question-gen-synth-design`
 
-## plan (13)
+## plan (15)
 - [2026-07-06-core-agent-adapters-llm](plans/2026-07-06-core-agent-adapters-llm.md) `plan:2026-07-06-core-agent-adapters-llm`
 - [2026-07-07-app-harness](plans/2026-07-07-app-harness.md) `plan:2026-07-07-app-harness`
 - [2026-07-07-core-evolution](plans/2026-07-07-core-evolution.md) `plan:2026-07-07-core-evolution`
 - [2026-07-07-question-gen](plans/2026-07-07-question-gen.md) `plan:2026-07-07-question-gen`
 - [2026-07-07-tree-module-vertical-slice](plans/2026-07-07-tree-module-vertical-slice.md) `plan:2026-07-07-tree-module-vertical-slice`
+- [2026-07-09-question-gen-synth](plans/2026-07-09-question-gen-synth.md) `plan:2026-07-09-question-gen-synth`
 - [2026-07-09-tree-repair-resilience](plans/2026-07-09-tree-repair-resilience.md) `plan:2026-07-09-tree-repair-resilience`
 - [app/harness/ 训练循环编排层实现计划](plans/app-harness.md) `plan:app-harness`
 - [app/search/ 搜索 Agent 装配层实现计划](plans/2026-07-07-search-module.md) `plan:2026-07-07-search-module`
@@ -28,4 +31,5 @@
 - [question_gen 模块实现计划](plans/question-gen.md) `plan:question-gen`
 - [建树修复管线三项改造实现计划](plans/tree-repair-resilience.md) `plan:tree-repair-resilience`
 - [建树模块竖切实现计划](plans/tree-module-vertical-slice.md) `plan:tree-module-vertical-slice`
+- [赛题生成工具实现计划](plans/question-gen-synth.md) `plan:question-gen-synth`
 - [项目基础设施初始化计划](plans/infrastructure-setup.md) `plan:infrastructure-setup`