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:"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E4%B8%89%E8%A7%92%E5%BD%A2%E3%81%AE%E5%90%88%E5%90%8C%E6%9D%A1%E4%BB%B6"},{"conceptId":"concept-junior2-congruence-and-proof-0pfzcip","placementId":"junior2.congruence-and-proof.004","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"3辺がそれぞれ等しい","problemType":"図形・証明","family":"図形・証明","recognition":"合同と証明で「3辺がそれぞれ等しい」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「3辺がそれぞれ等しい」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/3%E8%BE%BA%E3%81%8C%E3%81%9D%E3%82%8C%E3%81%9E%E3%82%8C%E7%AD%89%E3%81%97%E3%81%84"},{"conceptId":"concept-junior2-congruence-and-proof-1p1fx5p","placementId":"junior2.congruence-and-proof.005","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"2辺とその間の角が等しい","problemType":"図形・証明","family":"図形・証明","recognition":"合同と証明で「2辺とその間の角が等しい」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「2辺とその間の角が等しい」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/2%E8%BE%BA%E3%81%A8%E3%81%9D%E3%81%AE%E9%96%93%E3%81%AE%E8%A7%92%E3%81%8C%E7%AD%89%E3%81%97%E3%81%84"},{"conceptId":"concept-junior2-congruence-and-proof-0w6s06d","placementId":"junior2.congruence-and-proof.006","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"1辺とその両端の角が等しい","problemType":"図形・証明","family":"図形・証明","recognition":"合同と証明で「1辺とその両端の角が等しい」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「1辺とその両端の角が等しい」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/1%E8%BE%BA%E3%81%A8%E3%81%9D%E3%81%AE%E4%B8%A1%E7%AB%AF%E3%81%AE%E8%A7%92%E3%81%8C%E7%AD%89%E3%81%97%E3%81%84"},{"conceptId":"concept-junior2-congruence-and-proof-1iz4hxh","placementId":"junior2.congruence-and-proof.007","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"仮定と結論","problemType":"図形・証明","family":"図形・証明","recognition":"合同と証明で「仮定と結論」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「仮定と結論」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E4%BB%AE%E5%AE%9A%E3%81%A8%E7%B5%90%E8%AB%96"},{"conceptId":"concept-junior2-congruence-and-proof-05yz6ss","placementId":"junior2.congruence-and-proof.008","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"定義と定理","problemType":"図形・証明","family":"図形・証明","recognition":"合同と証明で「定義と定理」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「定義と定理」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E5%AE%9A%E7%BE%A9%E3%81%A8%E5%AE%9A%E7%90%86"},{"conceptId":"concept-junior2-congruence-and-proof-000v3av","placementId":"junior2.congruence-and-proof.009","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"証明の書き方","problemType":"図形・証明","family":"proof","recognition":"合同と証明で「証明の書き方」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"教科書標準〜入試","signals":["「証明の書き方」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E8%A8%BC%E6%98%8E%E3%81%AE%E6%9B%B8%E3%81%8D%E6%96%B9"},{"conceptId":"concept-junior2-congruence-and-proof-0nmqxa2","placementId":"junior2.congruence-and-proof.010","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"合同を使う証明","problemType":"図形・証明","family":"congruence-similarity","recognition":"対応する頂点をそろえ、成立条件と比を使う型。","firstMove":"対応順を決め、等しい辺・角を図に印す","output":"合同・相似の証明または長さ・面積比","commonTrap":"対応順の逆転と、根拠のない等しさ","level":"教科書標準〜入試","signals":["「合同を使う証明」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["対応順を決め、等しい辺・角を図に印す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E5%90%88%E5%90%8C%E3%82%92%E4%B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lug":"congruence-and-proof","title":"命題の逆","problemType":"図形・証明","family":"図形・証明","recognition":"合同と証明で「命題の逆」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「命題の逆」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E5%91%BD%E9%A1%8C%E3%81%AE%E9%80%86"},{"conceptId":"concept-junior2-congruence-and-proof-0hvh8tc","placementId":"junior2.congruence-and-proof.026","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"証明から新しい性質を発見","problemType":"図形・証明","family":"proof","recognition":"合同と証明で「証明から新しい性質を発見」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"教科書標準〜入試","signals":["「証明から新しい性質を発見」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E8%A8%BC%E6%98%8E%E3%81%8B%E3%82%89%E6%96%B0%E3%81%97%E3%81%84%E6%80%A7%E8%B3%AA%E3%82%92%E7%99%BA%E8%A6%8B"},{"conceptId":"concept-junior2-congruence-and-proof-0kq7kgw","placementId":"junior2.congruence-and-proof.027","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"作図と合同の証明","problemType":"図形・証明","family":"congruence-similarity","recognition":"対応する頂点をそろえ、成立条件と比を使う型。","firstMove":"対応順を決め、等しい辺・角を図に印す","output":"合同・相似の証明または長さ・面積比","commonTrap":"対応順の逆転と、根拠のない等しさ","level":"教科書標準〜入試","signals":["「作図と合同の証明」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["対応順を決め、等しい辺・角を図に印す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E4%BD%9C%E5%9B%B3%E3%81%A8%E5%90%88%E5%90%8C%E3%81%AE%E8%A8%BC%E6%98%8E"},{"conceptId":"concept-junior2-congruence-and-proof-0lnaset","placementId":"junior2.congruence-and-proof.028","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"直角三角形の合同への接続","problemType":"図形・証明","family":"congruence-similarity","recognition":"対応する頂点をそろえ、成立条件と比を使う型。","firstMove":"対応順を決め、等しい辺・角を図に印す","output":"合同・相似の証明または長さ・面積比","commonTrap":"対応順の逆転と、根拠のない等しさ","level":"基礎〜教科書標準","signals":["「直角三角形の合同への接続」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["対応順を決め、等しい辺・角を図に印す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%E3%81%AE%E5%90%88%E5%90%8C%E3%81%B8%E3%81%AE%E6%8E%A5%E7%B6%9A"},{"conceptId":"concept-junior2-congruence-and-proof-00w9bxy","placementId":"junior2.congruence-and-proof.029","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"証明問題の初手","problemType":"図形・証明","family":"proof","recognition":"合同と証明で「証明問題の初手」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"教科書標準〜入試","signals":["「証明問題の初手」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E8%A8%BC%E6%98%8E%E5%95%8F%E9%A1%8C%E3%81%AE%E5%88%9D%E6%89%8B"},{"conceptId":"concept-junior2-congruence-and-proof-1ga0gn8","placementId":"junior2.congruence-and-proof.030","course":"junior2","courseLabel":"中2","unit":"合同と証明","unitSlug":"congruence-and-proof","title":"図の見た目に頼らない","problemType":"図形・証明","family":"図形・証明","recognition":"合同と証明で「図の見た目に頼らない」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「図の見た目に頼らない」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"最優先","analysisUrl":"/dictionary/junior2/congruence-and-proof/%E5%9B%B3%E3%81%AE%E8%A6%8B%E3%81%9F%E7%9B%AE%E3%81%AB%E9%A0%BC%E3%82%89%E3%81%AA%E3%81%84"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-18dm8a6","placementId":"junior2.triangles-and-quadrilaterals.001","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"二等辺三角形の定義","problemType":"図形・証明","family":"geometry","recognition":"三角形・四角形で「二等辺三角形の定義」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「二等辺三角形の定義」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E4%BA%8C%E7%AD%89%E8%BE%BA%E4%B8%89%E8%A7%92%E5%BD%A2%E3%81%AE%E5%AE%9A%E7%BE%A9"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-1y1eig8","placementId":"junior2.triangles-and-quadrilaterals.002","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"二等辺三角形の底角","problemType":"図形・証明","family":"logarithm","recognition":"底と真数の条件を保ち、単調性で大小を扱う型。","firstMove":"底>0・底≠1・真数>0を書く","output":"条件を満たす値・範囲・グラフ","commonTrap":"底が1未満のときの不等号と真数条件","level":"基礎〜教科書標準","signals":["「二等辺三角形の底角」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["底>0・底≠1・真数>0を書く","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E4%BA%8C%E7%AD%89%E8%BE%BA%E4%B8%89%E8%A7%92%E5%BD%A2%E3%81%AE%E5%BA%95%E8%A7%92"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-105fnd6","placementId":"junior2.triangles-and-quadrilaterals.003","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"頂角の二等分線","problemType":"図形・証明","family":"図形・証明","recognition":"三角形・四角形で「頂角の二等分線」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「頂角の二等分線」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E9%A0%82%E8%A7%92%E3%81%AE%E4%BA%8C%E7%AD%89%E5%88%86%E7%B7%9A"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-0lvn8j4","placementId":"junior2.triangles-and-quadrilaterals.004","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"二等辺三角形になる条件","problemType":"図形・証明","family":"geometry","recognition":"三角形・四角形で「二等辺三角形になる条件」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"教科書標準〜入試","signals":["「二等辺三角形になる条件」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E4%BA%8C%E7%AD%89%E8%BE%BA%E4%B8%89%E8%A7%92%E5%BD%A2%E3%81%AB%E3%81%AA%E3%82%8B%E6%9D%A1%E4%BB%B6"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-04stcu4","placementId":"junior2.triangles-and-quadrilaterals.005","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"正三角形の性質","problemType":"図形・証明","family":"geometry","recognition":"三角形・四角形で「正三角形の性質」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「正三角形の性質」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E6%AD%A3%E4%B8%89%E8%A7%92%E5%BD%A2%E3%81%AE%E6%80%A7%E8%B3%AA"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-0aq7n47","placementId":"junior2.triangles-and-quadrilaterals.006","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"直角三角形の合同条件","problemType":"図形・証明","family":"geometry","recognition":"三角形・四角形で「直角三角形の合同条件」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"教科書標準〜入試","signals":["「直角三角形の合同条件」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%E3%81%AE%E5%90%88%E5%90%8C%E6%9D%A1%E4%BB%B6"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-0bb382x","placementId":"junior2.triangles-and-quadrilaterals.007","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"斜辺と1つの鋭角","problemType":"図形・証明","family":"図形・証明","recognition":"三角形・四角形で「斜辺と1つの鋭角」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「斜辺と1つの鋭角」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E6%96%9C%E8%BE%BA%E3%81%A81%E3%81%A4%E3%81%AE%E9%8B%AD%E8%A7%92"},{"conceptId":"concept-junior2-triangles-and-quadrilaterals-0lvitcu","placementId":"junior2.triangles-and-quadrilaterals.008","course":"junior2","courseLabel":"中2","unit":"三角形・四角形","unitSlug":"triangles-and-quadrilaterals","title":"斜辺と他の1辺","problemType":"図形・証明","family":"図形・証明","recognition":"三角形・四角形で「斜辺と他の1辺」が問われ、図形条件を定理・座標・ベクトルのどれで表すか選ぶ型。","firstMove":"仮定を図へ書き込み既知量を探す","output":"長さ・角・面積・位置関係と根拠","commonTrap":"図の見た目で等しいと決める","level":"基礎〜教科書標準","signals":["「斜辺と他の1辺」または同じ条件が現れる","長さ・角・面積を求める","図形の性質を示す"],"workflow":["仮定を図へ書き込み既知量を探す","求める量から使う定理を逆算する","対応する辺・角・成分をそろえる"],"priority":"重点","analysisUrl":"/dictionary/junior2/triangles-and-quadrilaterals/%E6%96%9C%E8%BE%BA%E3%81%A8%E4%BB%96%E3%81%AE1%E8%BE%BA"},{"conceptId":"conce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